DOI10.1016/j.cam.2012.10.003zbMath1261.65121arXiv1104.2897OpenAlexW2039955529MaRDI QIDQ1931786
Junping Wang, Xiu Ye
Publication date: 16 January 2013
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.2897
A weak Galerkin finite element scheme for solving the stationary Stokes equations,
A high order discontinuous Galerkin method with Lagrange multipliers for second-order elliptic problems,
A third Strang lemma and an Aubin-Nitsche trick for schemes in fully discrete formulation,
Robust a-posteriori error estimates for weak Galerkin method for the convection-diffusion problem,
A divergence-free weak virtual element method for the Navier-Stokes equation on polygonal meshes,
Optimal convergence analysis of the energy-preserving immersed weak Galerkin method for second-order hyperbolic interface problems in inhomogeneous media,
A weak Galerkin generalized multiscale finite element method,
On application of the weak Galerkin finite element method to a two-phase model for subsurface flow,
Superconvergence of a modified weak Galerkin approximation for second order elliptic problems by \(L^2\) projection method,
Hybridized weak Galerkin finite element method for linear elasticity problem in mixed form,
The weak Galerkin method for solving the incompressible Brinkman flow,
A hybridized formulation for the weak Galerkin mixed finite element method,
A locking-free weak Galerkin finite element method for elasticity problems in the primal formulation,
A robust numerical method for the random interface grating problem via shape calculus, weak Galerkin method, and low-rank approximation,
A robust weak Galerkin finite element method for linear elasticity with strong symmetric stresses,
A weak Galerkin method for the Reissner-Mindlin plate in primary form,
Discrete maximum principle for the \(P_{1}\)-\(P_{0}\) weak Galerkin finite element approximations,
Interior energy error estimates for the weak Galerkin finite element method,
Discretization of div-curl systems by weak Galerkin finite element methods on polyhedral partitions,
Weak Galerkin methods for second order elliptic interface problems,
Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity,
Effective implementation of the weak Galerkin finite element methods for the biharmonic equation,
Weak Galerkin methods for time-dependent Maxwell's equations,
A weak Galerkin finite element scheme with boundary continuity for second-order elliptic problems,
A hybrid high-order locking-free method for linear elasticity on general meshes,
Weak Galerkin finite element methods for the simulation of single-phase flow in fractured porous media,
A new modified weak Galerkin finite element scheme for solving the stationary Stokes equations,
Weak Galerkin mixed finite element method for heat equation,
Multi-level Monte Carlo weak Galerkin method with nested meshes for stochastic Brinkman problem,
Symmetric interior penalty Galerkin approaches for two-dimensional parabolic interface problems with low regularity solutions,
Weak Galerkin finite element method for Biot's consolidation problem,
A new weak Galerkin finite element method for elliptic interface problems,
A discrete divergence free weak Galerkin finite element method for the Stokes equations,
A weak Galerkin finite element method for a coupled Stokes-Darcy problem on general meshes,
A simple finite element method for the Stokes equations,
A weak Galerkin finite element method for the Maxwell equations,
BDDC and FETI-DP for the virtual element method,
A hybridized weak Galerkin finite element scheme for the Stokes equations,
A divergence-free weak Galerkin method for quasi-Newtonian Stokes flows,
A weak Galerkin method with an over-relaxed stabilization for low regularity elliptic problems,
The lowest-order weak Galerkin finite element method for the Darcy equation on quadrilateral and hybrid meshes,
A lowest-order weak Galerkin method for linear elasticity,
Galerkin schemes and inverse boundary value problems in reflexive Banach spaces,
Characteristics weak Galerkin finite element methods for convection-dominated diffusion problems,
Weak Galerkin finite element method with second-order accuracy in time for parabolic problems,
A \(C^0\)-weak Galerkin finite element method for the biharmonic equation,
A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems,
Error analysis of weak Galerkin finite element methods for time-dependent convection-diffusion equations,
A globally divergence-free weak Galerkin method for Brinkman equations,
A unified study of continuous and discontinuous Galerkin methods,
Weak Galerkin method for the Biot's consolidation model,
Weak Galerkin method with \((r, r - 1, r - 1)\)-order finite elements for second order parabolic equations,
Multi-level Monte Carlo weak Galerkin method for elliptic equations with stochastic jump coefficients,
A weak Galerkin finite element method for solving nonlinear convection-diffusion problems in one dimension,
A weak finite element method for elliptic problems in one space dimension,
A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order,
A modified weak Galerkin finite element methods for convection-diffusion problems in 2D,
A relaxed weak Galerkin method for elliptic interface problems with low regularity,
A systematic study on weak Galerkin finite element methods for second order elliptic problems,
Weak-Galerkin finite element methods for a second-order elliptic variational inequality,
Variationally derived discontinuity capturing methods: fine scale models with embedded weak and strong discontinuities,
A variational multiscale discontinuous Galerkin formulation for both implicit and explicit dynamic modeling of interfacial fracture,
A divergence free weak virtual element method for the Stokes-Darcy problem on general meshes,
Weak Galerkin finite element methods for Sobolev equation,
A hybridized discontinuous Galerkin method for a linear degenerate elliptic equation arising from two-phase mixtures,
A stable weak Galerkin finite element method for Stokes problem,
The weak Galerkin finite element method for incompressible flow,
The cascadic multigrid method of the weak Galerkin method for second-order elliptic equation,
Direct discontinuous Galerkin method and its variations for second order elliptic equations,
Convergence analysis of weak Galerkin flux-based mixed finite element method for solving singularly perturbed convection-diffusion-reaction problem,
Weak Galerkin finite element method for a class of quasilinear elliptic problems,
A locking free Reissner-Mindlin element with weak Galerkin rotations,
Lower and upper bounds of Laplacian eigenvalue problem by weak Galerkin method on triangular meshes,
A weak Galerkin finite element method for Burgers' equation,
Lowest-order weak Galerkin finite element methods for linear elasticity on rectangular and brick meshes,
A Nyström-based finite element method on polygonal elements,
Virtual element method for two-dimensional linear elasticity problem in mixed weakly symmetric formulation,
A BDDC algorithm for the Stokes problem with weak Galerkin discretizations,
An immersed finite volume element method for 2D PDEs with discontinuous coefficients and non-homogeneous jump conditions,
An auxiliary space multigrid preconditioner for the weak Galerkin method,
An analysis of the weak Galerkin finite element method for convection-diffusion equations,
A curl-conforming weak Galerkin method for the quad-curl problem,
A weak Galerkin finite element method for solving nonlinear convection-diffusion problems in two dimensions,
A weak Galerkin finite element method for a type of fourth order problem arising from fluorescence tomography,
A stabilizer free weak Galerkin finite element method for parabolic equation,
Modeling of steep layers in singularly perturbed diffusion-reaction equation via flexible fine-scale basis,
A \(P_{k + 2}\) polynomial lifting operator on polygons and polyhedrons,
Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson-Nernst-Planck system,
A stabilizer-free pressure-robust finite element method for the Stokes equations,
Convergence of adaptive weak Galerkin finite element methods for second order elliptic problems,
A stabilizer free weak Galerkin finite element method on polytopal mesh. II,
A new weak Galerkin finite element scheme for general second-order elliptic problems,
Implementation of discontinuous skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming,
A conforming discontinuous Galerkin finite element method on rectangular partitions,
A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods,
A robust WG finite element method for convection-diffusion-reaction equations,
A two-level additive Schwarz preconditioning algorithm for the weak Galerkin method for the second-order elliptic equation,
The weak Galerkin finite element method for the transport-reaction equation,
A hybridized weak Galerkin finite element scheme for general second-order elliptic problems,
Stabilizer-free weak Galerkin methods for monotone quasilinear elliptic PDEs,
Semi-Discrete and Fully Discrete Weak Galerkin Finite Element Methods for a Quasistatic Maxwell Viscoelastic Model,
Constructing Order Two Superconvergent WG Finite Elements on Rectangular Meshes,
A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques,
Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition,
Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients,
Weak Galerkin finite element method for linear elasticity interface problems,
A stabilizer-free weak Galerkin finite element method with Alikhanov formula on nonuniform mesh for a linear reaction-subdiffusion problem,
A modified weak Galerkin finite element method for parabolic equations on anisotropic meshes,
Weak Galerkin finite element methods for \(\mathbf{H}(\mathrm{curl};\Omega)\) and \(\mathbf{H}(\mathrm{curl},\operatorname{div};\Omega)\)-elliptic problems,
A weak Galerkin finite element method for 1D semiconductor device simulation models,
A Least-Squares-Based Weak Galerkin Finite Element Method for Second Order Elliptic Equations,
A numerical method for analysis and simulation of diffusive viscous wave equations with variable coefficients on polygonal meshes,
Four-order superconvergent weak Galerkin methods for the biharmonic equation on triangular meshes,
A weak Galerkin method and its two‐grid algorithm for the quasi‐linear elliptic problems of non‐monotone type,
\(L^2\) estimates for weak Galerkin finite element methods for second-order wave equations with polygonal meshes,
A stabilizer free weak Galerkin finite element method with supercloseness of order two,
A P0–P0 weak Galerkin finite element method for solving singularly perturbed reaction–diffusion problems,
A discrete maximum principle for the weak Galerkin finite element method on nonuniform rectangular partitions,
Weak Galerkin finite element methods for electric interface model with nonhomogeneous jump conditions,
Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces,
Superconvergence of the lowest-order weak Galerkin finite element method for elliptic interface problems,
Supercloseness of weak Galerkin method for a singularly perturbed convection-diffusion problem in 2D,
An immersed weak Galerkin method for elliptic interface problems on polygonal meshes,
A weak Galerkin finite-element method for singularly perturbed convection-diffusion-reaction problems with interface,
A stabilizer‐free weak Galerkin finite element method to variable‐order time fractional diffusion equation in multiple space dimensions,
A stabilizer free weak Galerkin finite element method for second‐order Sobolev equation,
A weak Galerkin finite element method for Allen–Cahn equation with a nonuniform two‐step backward differentiation formula scheme,
A pressure‐robust weak Galerkin finite element method for <scp>Navier–Stokes</scp> equations,
A systematic study on weak Galerkin finite element method for second‐order parabolic problems,
A mixed finite element method for the Poisson problem using a biorthogonal system with <scp>Raviart–Thomas</scp> elements,
A simplified primal‐dual weak Galerkin finite element method for Fokker–Planck‐type equations,
An adaptive weak Galerkin finite element method with hierarchical bases for the elliptic problem,
Numerical and theoretical study of weak Galerkin finite element solutions of Turing patterns in reaction–diffusion systems,
Weak Galerkin finite element method for a class of time fractional generalized Burgers' equation,
A weak Galerkin finite element method for nonlinear convection-diffusion equation,
Two‐order superconvergence for a weak Galerkin method on rectangular and cuboid grids,
A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier-Stokes equations,
A modified weak Galerkin method for \(\boldsymbol{H}(\mathrm{curl})\)-elliptic problem,
Supercloseness analysis of a stabilizer free weak Galerkin finite element method for time dependent convection diffusion reaction equation,
A posteriori error estimates of two-grid weak Galerkin methods for semilinear elliptic differential equations,
Unnamed Item,
A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions,
The lowest-order weak Galerkin finite element method for linear elasticity problems on convex polygonal grids,
Robust globally divergence-free weak Galerkin finite element method for incompressible magnetohydrodynamics flow,
A weak Galerkin method for the nonlinear Navier-Stokes problem,
A generalized weak Galerkin method for Oseen equation,
A conforming discontinuous Galerkin finite element method for Brinkman equations,
An \textit{hp} weak Galerkin FEM for singularly perturbed problems,
Error analysis of a weak Galerkin finite element method for singularly perturbed differential-difference equations,
High-order weak Galerkin scheme for \(\mathbf{H} (\mathrm{div})\)-elliptic interface problems,
Stabilization-free HHO a posteriori error control,
Two‐grid weak Galerkin method for semilinear elliptic differential equations,
A New Weak Galerkin Method with Weakly Enforced Dirichlet Boundary Condition,
A Conforming Dg Method for the Biharmonic Equation on Polytopal Meshes,
The adaptive SAV weak Galerkin finite element method for the Allen-Cahn equation,
Curved elements in weak Galerkin finite element methods,
Interior over-penalized enriched Galerkin methods for second order elliptic equations,
A hybridized weak Galerkin finite element scheme for linear elasticity problem,
Penalty-free any-order weak Galerkin FEMs for linear elasticity on quadrilateral meshes,
A posteriori error estimate for a modified weak Galerkin method of 2D \(\boldsymbol{H}(\mathrm{curl})\) elliptic problems,
Weak Galerkin Finite Element Methods for Parabolic Problems With $L^2$ Initial Data,
A posteriori error estimator for weak Galerkin finite element method for Stokes problem using diagonalization techniques,
Weak Galerkin finite element method for linear poroelasticity problems,
A high order discontinuous Galerkin method for the recovery of the conductivity in electrical impedance tomography,
An \(L^p\)-primal-dual finite element method for first-order transport problems,
Interplay Between Diffusion Anisotropy and Mesh Skewness in Hybrid High-Order Schemes,
A Stabilizer Free Weak Galerkin Method for the Biharmonic Equation on Polytopal Meshes,
Preface,
Staggered DG Methods for the Pseudostress-Velocity Formulation of the Stokes Equations on General Meshes,
A weak Galerkin finite element method for the Navier-Stokes equations,
A WEAK GALERKIN FINITE ELEMENT METHOD FOR THE SECOND ORDER ELLIPTIC PROBLEMS WITH MIXED BOUNDARY CONDITIONS,
A Modified Weak Galerkin Method for Stokes Equations,
The Weak Galerkin Finite Element Method for Solving the Time-Dependent Integro-Differential Equations,
An Alternating Direction Method of Multipliers for Optimal Control Problems Constrained with Elliptic Equations,
A Discontinuous Galerkin Method by Patch Reconstruction for Convection-Diffusion Problems,
$(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations,
A Numerical Analysis of the Weak Galerkin Method for the Helmholtz Equation with High Wave Number,
A Weak Galerkin Finite Element Method for the Navier-Stokes Equations,
The Weak Galerkin Method for Linear Hyperbolic Equation,
The Weak Galerkin Method for Elliptic Eigenvalue Problems,
Robust Globally Divergence-Free Weak Galerkin Finite Element Methods for Natural Convection Problems,
Weak Galerkin and Continuous Galerkin Coupled Finite Element Methods for the Stokes-Darcy Interface Problem,
A weak Galerkin finite element method for the Navier-Stokes equations,
Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes,
A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion--Reaction Problems,
A weak Galerkin finite element method for the Stokes equations,
A Skeletal Finite Element Method Can Compute Lower Eigenvalue Bounds,
Conforming and nonconforming harmonic finite elements,
Unnamed Item,
Unnamed Item,
A Conservative Flux Optimization Finite Element Method for Convection-diffusion Equations,
Unnamed Item,
Unnamed Item,
Unnamed Item,
A WEAK GALERKIN METHOD FOR SECOND ORDER ELLIPTIC PROBLEMS WITH POLYNOMIAL REDUCTION,
A Robust Modified Weak Galerkin Finite Element Method for Reaction-Diffusion Equations,
Achieving Superconvergence by One-Dimensional Discontinuous Finite Elements: The CDG Method,
Developing weak Galerkin finite element methods for the wave equation,
Weak Galerkin finite element method for an inhomogeneous Brusselator model with cross-diffusion,
Weak Galerkin method for the Stokes equations with damping,
Development of a LDG method on polytopal mesh with optimal order of convergence,
A weak Galerkin/finite difference method for time-fractional biharmonic problems in two dimensions,
A high order conservative flux optimization finite element method for steady convection-diffusion equations,
Virtual element analysis of nonlocal coupled parabolic problems on polygonal meshes,
A weak Galerkin finite element approximation of two-dimensional sub-diffusion equation with time-fractional derivative,
A family of interior-penalized weak Galerkin methods for second-order elliptic equations,
Convergence of an adaptive modified WG method for second-order elliptic problem,
A conforming discontinuous Galerkin finite element method for elliptic interface problems,
An explicit weak Galerkin method for solving the first order hyperbolic systems,
A weak divergence CDG method for the biharmonic equation on triangular and tetrahedral meshes,
Superconvergence of a WG method for the Stokes equations with continuous pressure,
A conforming discontinuous Galerkin finite element method for linear elasticity interface problems,
Stabilizer-free weak Galerkin finite element method with second-order accuracy in time for the time fractional diffusion equation,
A weak Galerkin method with rectangle partitions for the Signorini problem,
Supercloseness and postprocessing of stabilizer-free weak Galerkin finite element approximations for parabolic problems,
A weak Galerkin finite element method for time-dependent Poisson-Nernst-Planck equations,
Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems,
Uniform convergence of a weak Galerkin finite element method on Shishkin mesh for singularly perturbed convection-diffusion problems in 2D,
Unconditionally optimal error estimates of a linearized weak Galerkin finite element method for semilinear parabolic equations,
Discontinuous Galerkin methods for fractional elliptic problems,
Discontinuous Galerkin methods for the Stokes equations with nonlinear damping term on general meshes,
High-precision computation of the weak Galerkin methods for the fourth-order problem,
Penalty-free any-order weak Galerkin FEMs for elliptic problems on quadrilateral meshes,
Analysis of HDG method for the reaction-diffusion equations,
Modified weak Galerkin method with weakly imposed boundary condition for convection-dominated diffusion equations,
\(H^1, H(\text{curl})\) and \(H(\text{div})\) conforming elements on polygon-based prisms and cones,
A locking-free weak Galerkin finite element method for Reissner-Mindlin plate on polygonal meshes,
An extended \(P_1\)-nonconforming finite element method on general polytopal partitions,
Weak Galerkin finite element with curved edges,
Superconvergence of numerical gradient for weak Galerkin finite element methods on nonuniform Cartesian partitions in three dimensions,
A locking free numerical approximation for quasilinear poroelasticity problems,
A uniformly convergent weak Galerkin finite element method on Shishkin mesh for 1d convection-diffusion problem,
A numerical study of superconvergence of the discontinuous Galerkin method by patch reconstruction,
Viscosity robust weak Galerkin finite element methods for Stokes problems,
A weak Galerkin finite element method for nonlinear conservation laws,
A penalized weak Galerkin spectral element method for second order elliptic equations,
A hybrid high-order method for a coupled Stokes-Darcy problem on general meshes,
A new upwind weak Galerkin finite element method for linear hyperbolic equations,
A new WENO weak Galerkin finite element method for time dependent hyperbolic equations,
A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes,
Error estimates in weak Galerkin finite element methods for parabolic equations under low regularity assumptions,
New primal-dual weak Galerkin finite element methods for convection-diffusion problems,
A weak Galerkin least squares finite element method of Cauchy problem for Poisson equation,
A study of mixed problem for second order elliptic problems using modified weak Galerkin finite element method,
Weak Galerkin finite element methods with or without stabilizers,
A priori and a posteriori error estimates of the weak Galerkin finite element method for parabolic problems,
An extended Galerkin analysis for elliptic problems,
A pressure-robust virtual element method for the Stokes problem,
Discrete maximum principle for the weak Galerkin method on triangular and rectangular meshes,
A weak Galerkin-mixed finite element method for the Stokes-Darcy problem,
A projection-based stabilized virtual element method for the unsteady incompressible Brinkman equations,
Application of weak Galerkin finite element method for nonlinear chemotaxis and haptotaxis models,
A new \(P_0\) weak Galerkin finite element scheme for second-order problems,
Numerical analysis of fully discrete energy stable weak Galerkin finite element scheme for a coupled Cahn-Hilliard-Navier-Stokes phase-field model,
MIB Galerkin method for elliptic interface problems,
Weak Galerkin finite element method for valuation of American options,
A least-squares-based weak Galerkin finite element method for elliptic interface problems,
New discretization schemes for time-harmonic Maxwell equations by weak Galerkin finite element methods,
Hybridized weak Galerkin finite element methods for Brinkman equations,
De Rham complexes for weak Galerkin finite element spaces,
A new over-penalized weak Galerkin method. I: Second-order elliptic problems,
A new over-penalized weak Galerkin finite element method. II: Elliptic interface problems,
A new weak gradient for the stabilizer free weak Galerkin method with polynomial reduction,
Weak Galerkin method with implicit \(\theta \)-schemes for second-order parabolic problems,
A posteriori error estimate of weak Galerkin FEM for second order elliptic problem with mixed boundary condition,
A numerical scheme with divergence free \(H\)-\(\operatorname{div}\) triangular finite element for the Stokes equations,
A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients,
A lowest-order weak Galerkin finite element method for Stokes flow on polygonal meshes,
Weak Galerkin finite element method for Poisson's equation on polytopal meshes with small edges or faces,
A weak Galerkin finite element method based on \(\boldsymbol{H}(\operatorname{div})\) virtual element for Darcy flow on polytopal meshes,
An effective implementation for Stokes equation by the weak Galerkin finite element method,
A stabilizer-free weak Galerkin finite element method on polytopal meshes,
A symmetric weak Galerkin method for solving non-divergence form elliptic equations,
A hybrid high-order method for highly oscillatory elliptic problems,
Superconvergence of the gradient approximation for weak Galerkin finite element methods on nonuniform rectangular partitions,
Superconvergent weak Galerkin methods for non-self adjoint and indefinite elliptic problems,
Superconvergence of a modified weak Galerkin method for singularly perturbed two-point elliptic boundary-value problems,
Unfitted hybrid high-order methods for the wave equation,
A recovery-based a posteriori error estimator of the weak Galerkin finite element method for elliptic problems,
A modified weak Galerkin finite element method for nonmonotone quasilinear elliptic problems,
An analysis of weak Galerkin finite element method for a steady state Boussinesq problem,
A weak Galerkin harmonic finite element method for Laplace equation,
An accurate, robust, and efficient weak Galerkin finite element scheme with graded meshes for the time-fractional quasi-linear diffusion equation,
A mixed finite-element method on polytopal mesh,
A modified weak Galerkin finite element method for the linear elasticity problem in mixed form,
Analysis of a weak Galerkin method for second-order elliptic equations with minimal regularity on polytopal meshes,
Weak Galerkin coupled with conforming finite element method for hybrid-dimensional fracture model,
An \(L^p\)-primal-dual weak Galerkin method for convection-diffusion equations,
A weak Galerkin method for elasticity interface problems,
A systematic study on weak Galerkin finite-element method for second-order wave equation,
A mixed virtual element method for Biot's consolidation model,
Optimal order uniform convergence in energy and balanced norms of weak Galerkin finite element method on Bakhvalov-type meshes for nonlinear singularly perturbed problems,
Error analysis of a weak Galerkin finite element method for two-parameter singularly perturbed differential equations in the energy and balanced norms,
An over-penalized weak Galerkin method for parabolic interface problems with time-dependent coefficients,
A weak Galerkin finite element method for the Kelvin-Voigt viscoelastic fluid flow model,
On the implementation of virtual element method for nonlinear problems over polygonal meshes,
A weak Galerkin finite element method on temporal graded meshes for the multi-term time fractional diffusion equations,
A pressure robust staggered discontinuous Galerkin method for the Stokes equations,
An \(H^1\) weak Galerkin mixed finite element method for Sobolev equation,
Generalized weak Galerkin finite element methods for biharmonic equations,
Convergence analysis of weak Galerkin finite element method for semilinear parabolic convection dominated diffusion equations on polygonal meshes,
Least-squares virtual element method for Stokes problems on polygonal meshes,
Convergence of adaptive two-grid weak Galerkin finite element methods for semilinear elliptic differential equations,
A hybrid high-order method for a class of strongly nonlinear elliptic boundary value problems,
Weak Galerkin finite element methods with and without stabilizers for H(div;Ω)${\bf H}(\mbox{div}; \Omega )$‐elliptic problems,
Time-explicit hybrid high-order method for the nonlinear acoustic wave equation,
A dimensional-splitting weak Galerkin finite element method for 2D time-fractional diffusion equation,
Convergence of Weak Galerkin Finite Element Method for Second Order Linear Wave Equation in Heterogeneous Media,
A numerical method for singularly perturbed convection-diffusion-reaction equations on polygonal meshes,
A locking-free weak Galerkin finite element method for linear elasticity problems,
The nonconforming virtual element method for Sobolev equations with Burger's type nonlinearity,
A discontinuous least-squares finite-element method for second-order elliptic equations,
A Stabilizer-Free Weak Galerkin Finite Element Method for the Stokes Equations,
A Discontinuous Galerkin Finite Element Method Without Interior Penalty Terms,
An alternating direction method of multipliers for elliptic equation constrained optimization problem,
Pressure robust hybrid mixed finite element method for Darcy–Forchheimer model,
A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains,
A weak Galerkin finite element method for the Oseen equations,
A virtual element method for elastic and inelastic problems on polytope meshes,
A $C^1$ Virtual Element Method for the Cahn--Hilliard Equation with Polygonal Meshes,
A weak Galerkin mixed finite element method for second order elliptic problems,
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics,
Achieving Superconvergence by One-Dimensional Discontinuous Finite Elements: Weak Galerkin Method,
Superconvergence of weak Galerkin finite element approximation for second order elliptic problems by \( L^2\)-projections,
An efficient numerical scheme for the biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes,
A Weak Galerkin Mixed Finite Element Method for Acoustic Wave Equation,
A coupling of weak Galerkin and mixed finite element methods for poroelasticity,
A Posteriori Error Estimates for a Modified Weak Galerkin Finite Element Approximation of Second Order Elliptic Problems with DG Norm,
A New Hybridized Mixed Weak Galerkin Method for Second-Order Elliptic Problems,
A weak Galerkin finite element method for high dimensional time-fractional diffusion equation,
A partially penalty immersed Crouzeix-Raviart finite element method for interface problems,
Benchmarking the geometrical robustness of a virtual element Poisson solver,
A modified weak Galerkin finite element method for the biharmonic equation on polytopal meshes,
A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes,
Uniform convergence of a weak Galerkin method for singularly perturbed convection-diffusion problems,
Uniform convergent modified weak Galerkin method for convection-dominated two-point boundary value problems,
A weak Galerkin finite element method for indefinite time-harmonic Maxwell equations,
A weak Galerkin finite element method can compute both upper and lower eigenvalue bounds,
A \(C^0\)-conforming DG finite element method for biharmonic equations on triangle/tetrahedron,
A Hybrid High-Order Method for Quasilinear Elliptic Problems of Nonmonotone Type,
A divergence free weak virtual element method for the Stokes problem on polytopal meshes,
Vibration control for a nonlinear three-dimensional flexible manipulator trajectory tracking,
Mixed virtual element methods for elastodynamics with weak symmetry,
A posteriori error estimate for a modified weak Galerkin method solving elliptic problems,
Convergence Analysis of the mimetic Finite Difference Method for Elliptic Problems with Staggered Discretizations of Diffusion Coefficients,
An improved iterative HDG approach for partial differential equations,
Numerical analysis of energy stable weak Galerkin schemes for the Cahn-Hilliard equation,
A Uniformly Robust H(DIV) Weak Galerkin Finite Element Methods for Brinkman Problems,
Trefftz Finite Elements on Curvilinear Polygons,
A primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form,
Pressure Robust Weak Galerkin Finite Element Methods for Stokes Problems,
A stabilizer-free \(C^0\) weak Galerkin method for the biharmonic equations,
Static Condensation, Hybridization, and the Devising of the HDG Methods,
A Review of Hybrid High-Order Methods: Formulations, Computational Aspects, Comparison with Other Methods,
FETI-DP for the Three Dimensional Virtual Element Method,
Supercloseness analysis and polynomial preserving Recovery for a class of weak Galerkin Methods,
A weak Galerkin method for diffraction gratings,
A mixed virtual element method for nearly incompressible linear elasticity equations,
Supercloseness analysis of a stabilizer-free weak Galerkin finite element method for viscoelastic wave equations with variable coefficients,
A weak Galerkin method for nonlinear stochastic parabolic partial differential equations with additive noise,
Generalized weak Galerkin methods for Stokes equations,
A locking-free and mass conservative H(div) conforming DG method for the Biot's consolidation model,
Supercloseness of weak Galerkin method on Bakhvalov-type mesh for a singularly perturbed problem in 1D,
Unnamed Item,
A Hybrid High-Order method for Leray–Lions elliptic equations on general meshes,
Ill‐conditioning in the virtual element method: Stabilizations and bases,
A Fully Computable A Posteriori Error Estimate for the Stokes Equations on Polytopal Meshes,
Spectral approximation of elliptic operators by the Hybrid High-Order method,
Weak Galerkin Finite Element Methods for Parabolic Interface Problems with Nonhomogeneous Jump Conditions,
Unnamed Item,
A weak Galerkin finite element scheme for the Cahn-Hilliard equation,
Lowest-Order Weak Galerkin Finite Element Method for Darcy Flow on Convex Polygonal Meshes,
Unnamed Item,
Discontinuous Galerkin derivative operators with applications to second-order elliptic problems and stability,
A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods,
BPX Preconditioner for Nonstandard Finite Element Methods for Diffusion Problems,
A modified weak Galerkin finite element method for a class of parabolic problems,
A modified weak Galerkin finite element method,
A Posteriori Error Analysis for the Weak Galerkin Method for Solving Elliptic Problems,
AC0-weak Galerkin finite element method for fourth-order elliptic problems,
WEAK GALERKIN FINITE ELEMENT METHODS COMBINED WITH CRANK-NICOLSON SCHEME FOR PARABOLIC INTERFACE PROBLEMS,
A Hybrid High-Order Method for the Cahn--Hilliard problem in Mixed Form,
Interpolation error estimates for harmonic coordinates on polytopes,
Mixed virtual element methods for general second order elliptic problems on polygonal meshes,
The arbitrary order mixed mimetic finite difference method for the diffusion equation,
A Primal-Dual Weak Galerkin Finite Element Method for Fokker--Planck Type Equations,
Weak Galerkin finite element methods for linear parabolic integro-differential equations,
Weak Galerkin finite-element method for time-fractional nonlinear integro-differential equations,
Weak Galerkin finite element method for viscoelastic wave equations,
A stress/displacement virtual element method for plane elasticity problems,
Interfacial stabilization at finite strains for weak and strong discontinuities in multi-constituent materials,
Acceleration of weak Galerkin methods for the Laplacian eigenvalue problem,
Simplified weak Galerkin and new finite difference schemes for the Stokes equation,
Weak Galerkin based a posteriori error estimates for second order elliptic interface problems on polygonal meshes,
An economical cascadic multigrid method for the weak Galerkin finite element approximation of second order elliptic problems,
An a posteriori error estimator for the weak Galerkin least-squares finite-element method,
A priori and a posterior error estimate of new weak Galerkin finite element methods for second order elliptic interface problems on polygonal meshes,
An immersed weak Galerkin method for elliptic interface problems,
An analysis of a weak Galerkin finite element method for stationary Navier-Stokes problems,
Polynomial preserving recovery for a class of weak Galerkin finite element methods,
Weak Galerkin mixed finite element methods for parabolic equations with memory,
Weak Galerkin finite element method for the parabolic integro-differential equation with weakly singular kernel,
The weak Galerkin finite element method for the symmetric hyperbolic systems,
An absolutely stable weak Galerkin finite element method for the Darcy-Stokes problem,
A primal discontinuous Galerkin method with static condensation on very general meshes,
BPS preconditioners for a weak Galerkin finite element method for 2D diffusion problems with strongly discontinuous coefficients,
A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh,
Weak Galerkin finite element methods for Parabolic equations,
A weak Galerkin finite element method with polynomial reduction,
A two-level algorithm for the weak Galerkin discretization of diffusion problems,
Couplings of mixed finite element and weak Galerkin methods for elliptic problems