DOI10.1051/m2an/2015090zbMath1343.65140arXiv1405.3741OpenAlexW2962924286MaRDI QIDQ2814662
Blanca Ayuso De Dios, Gianmarco Manzini, Konstantin N. Lipnikov
Publication date: 22 June 2016
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.3741
Virtual element method for semilinear hyperbolic problems on polygonal meshes,
SUPG-stabilized virtual elements for diffusion-convection problems: a robustness analysis,
The interior penalty virtual element method for the biharmonic problem,
Virtual Element Method for the Laplace-Beltrami equation on surfaces,
An Unfitted Hybrid High-Order Method for Elliptic Interface Problems,
Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshes,
A multigrid algorithm for the p-version of the virtual element method,
The virtual element method,
A Hybrid High-Order Method for Quasilinear Elliptic Problems of Nonmonotone Type,
Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation,
The virtual element method for solving two-dimensional fractional cable equation on general polygonal meshes,
A hybrid high‐order formulation for a Neumann problem on polytopal meshes,
The nonconforming locking-free virtual element method for the Biot's consolidation model in poroelasticity,
Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces,
An immersed weak Galerkin method for elliptic interface problems on polygonal meshes,
NURBS Enhanced Virtual Element Methods for the Spatial Discretization of the Multigroup Neutron Diffusion Equation on Curvilinear Polygonal Meshes,
The divergence‐free nonconforming virtual element method for the <scp>Navier–Stokes</scp> problem,
Convergence and optimality of an adaptive modified weak Galerkin finite element method,
The virtual element method for a nonhomogeneous double obstacle problem of Kirchhoff plate,
Variable-time-step BDF2 nonconforming VEM for coupled Ginzburg-Landau equations,
The virtual element method with interior penalty for the fourth-order singular perturbation problem,
A nonconforming immersed virtual element method for elliptic interface problems,
The Hermite-type virtual element method with interior penalty for the fourth-order elliptic problem,
The role of stabilization in the virtual element method: a survey,
A virtual element method for the solution of 2D time-harmonic elastic wave equations via scalar potentials,
Reduced basis stabilization and post-processing for the virtual element method,
A Morley-type virtual element approximation for a wind-driven ocean circulation model on polygonal meshes,
A \(C^1\)-conforming arbitrary-order two-dimensional virtual element method for the fourth-order phase-field equation,
Error analysis of nonconforming virtual element method for Stokes problem with low regularity,
The nonconforming virtual element method for Oseen’s equation using a stream-function formulation,
An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids,
Space-Time Virtual Elements for the Heat Equation,
The Morley-type virtual element method for the Navier-Stokes equations in stream-function form,
A family of three-dimensional virtual elements for Hellinger-Reissner elasticity problems,
Time-explicit hybrid high-order method for the nonlinear acoustic wave equation,
A virtual element method for overcoming locking phenomena in Biot’s consolidation model,
Dissipative nonconforming virtual element method for the fourth order nonlinear extended Fisher-Kolmogorov equation,
Nonconforming virtual element discretization for the transmission eigenvalue problem,
Virtual Element Methods Without Extrinsic Stabilization,
The fully nonconforming virtual element method for biharmonic problems,
The nonconforming virtual element method with curved edges,
Conservative Conforming and Nonconforming Vems for Fourth Order Nonlinear Schrödinger Equations with Trapped Term,
Unconditional Error Analysis of VEMs for a Generalized Nonlinear Schrödinger Equation,
The nonconforming virtual element method for Sobolev equations with Burger's type nonlinearity,
Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem,
Polynomial preserving virtual elements with curved edges,
Preface,
A Hybrid High-Order Discretization Combined with Nitsche's Method for Contact and Tresca Friction in Small Strain Elasticity,
Ws,p-approximation properties of elliptic projectors on polynomial spaces, with application to the error analysis of a Hybrid High-Order discretisation of Leray–Lions problems,
Spectral approximation of elliptic operators by the Hybrid High-Order method,
Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes,
High–order Discontinuous Galerkin Methods on Polyhedral Grids for Geophysical Applications: Seismic Wave Propagation and Fractured Reservoir Simulations,
The Mixed Virtual Element Method for the Richards Equation,
The curl–curl conforming virtual element method for the quad-curl problem,
Virtual elements for a shear-deflection formulation of Reissner–Mindlin plates,
A nonconforming Crouzeix-Raviart type finite element on polygonal meshes,
Anisotropic Error Estimates of the Linear Virtual Element Method on Polygonal Meshes,
Unnamed Item,
A polygonal discontinuous Galerkin method with minus one stabilization,
Nonconforming Virtual Element Method for $2m$th Order Partial Differential Equations in $\mathbb {R}^n$,
Convergence analysis of virtual element methods for semilinear parabolic problems on polygonal meshes,
Virtual Element approximations of the Vector Potential Formulation of Magnetostatic problems,
A nonconforming Trefftz virtual element method for the Helmholtz problem,
The nonconforming Virtual Element Method for eigenvalue problems,
Anisotropic Error Estimates of the Linear Nonconforming Virtual Element Methods,
The Divergence-Free Nonconforming Virtual Element for the Stokes Problem,
Piecewise Divergence-Free Nonconforming Virtual Elements for Stokes Problem in Any Dimensions,
The NonConforming Virtual Element Method for the Stokes Equations,
A review on arbitrarily regular conforming virtual element methods for second- and higher-order elliptic partial differential equations,
Hybridization of the virtual element method for linear elasticity problems,
Mixed virtual volume methods for elliptic problems,
A third Strang lemma and an Aubin-Nitsche trick for schemes in fully discrete formulation,
A divergence-free weak virtual element method for the Navier-Stokes equation on polygonal meshes,
Conservative high-order discontinuous Galerkin remap scheme on curvilinear polyhedral meshes,
A virtual element method for the acoustic vibration problem,
Unified analysis of discontinuous Galerkin approximations of flows in fractured porous media on polygonal and polyhedral grids,
Virtual element methods for nonlocal parabolic problems on general type of meshes,
A virtual element method for the two-phase flow of immiscible fluids in porous media,
A virtual element generalization on polygonal meshes of the Scott-Vogelius finite element method for the 2-D Stokes problem,
An advection-robust hybrid high-order method for the Oseen problem,
Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods,
Pressure-independent velocity error estimates for (Navier-)Stokes nonconforming virtual element discretization with divergence free,
Non-conforming harmonic virtual element method: \(h\)- and \(p\)-versions,
The nonconforming virtual element method for the Navier-Stokes equations,
Unconditionally energy stable \(C^0\)-virtual element scheme for solving generalized Swift-Hohenberg equation,
Hybrid high-order methods for the acoustic wave equation in the time domain,
Stabilization of the nonconforming virtual element method,
Virtual element approximation of two-dimensional parabolic variational inequalities,
Virtual element methods for hyperbolic problems on polygonal meshes,
On the virtual element method for topology optimization on polygonal meshes: a numerical study,
High-order virtual element method on polyhedral meshes,
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems,
Design and analysis of the extended hybrid high-order method for the Poisson problem,
The stabilized nonconforming virtual element method for linear elasticity problem,
The nonconforming virtual element method for semilinear elliptic problems,
A formal construction of a divergence-free basis in the nonconforming virtual element method for the Stokes problem,
Conforming virtual element approximations of the two-dimensional Stokes problem,
A posteriori error estimates for a virtual element method for the Steklov eigenvalue problem,
The virtual element method in 50 lines of MATLAB,
The virtual element method for the time fractional convection diffusion reaction equation with non-smooth data,
Robust and scalable adaptive BDDC preconditioners for virtual element discretizations of elliptic partial differential equations in mixed form,
A posteriori error estimates for the virtual element method,
A local projection stabilization virtual element method for the time-fractional Burgers equation with high Reynolds numbers,
A \(C^0\)-nonconforming virtual element methods for the vibration and buckling problems of thin plates,
Cut-off error splitting technique for conservative nonconforming VEM for \(N\)-coupled nonlinear Schrödinger-Boussinesq equations,
An \(hp\)-hybrid high-order method for variable diffusion on general meshes,
An extended \(P_1\)-nonconforming finite element method on general polytopal partitions,
A Review of Hybrid High-Order Methods: Formulations, Computational Aspects, Comparison with Other Methods,
Discontinuous skeletal gradient discretisation methods on polytopal meshes,
A mixed virtual element method for nearly incompressible linear elasticity equations,
A lowest-order locking-free nonconforming virtual element method based on the reduced integration technique for linear elasticity problems,
A new projection-based stabilized virtual element method for the Stokes problem,
A fully discrete virtual element scheme for the Cahn-Hilliard equation in mixed form,
Parallel solvers for virtual element discretizations of elliptic equations in mixed form,
The conforming virtual element method for polyharmonic problems,
The \(p\)- and \(hp\)-versions of the virtual element method for elliptic eigenvalue problems,
The nonconforming virtual element method for a stationary Stokes hemivariational inequality with slip boundary condition,
A medius error analysis for nonconforming virtual element methods for Poisson and biharmonic equations,
A high-order conservative remap for discontinuous Galerkin schemes on curvilinear polygonal meshes,
A virtual element method for the Cahn-Hilliard problem in mixed form,
A posteriori error analysis of a non-consistent virtual element method for reaction diffusion equations,
Conforming and nonconforming conservative virtual element methods for nonlinear Schrödinger equation: a unified framework,
The virtual element method for resistive magnetohydrodynamics,
Enrichment of the nonconforming virtual element method with singular functions,
Some error analysis on virtual element methods,
SUPG stabilization for the nonconforming virtual element method for advection-diffusion-reaction equations,
A hybrid high-order method for incremental associative plasticity with small deformations,
The nonconforming virtual element method for fourth-order singular perturbation problem,
A nonconforming Trefftz virtual element method for the Helmholtz problem: numerical aspects,
Extension of the nonconforming Trefftz virtual element method to the Helmholtz problem with piecewise constant wave number,
A local projection stabilization virtual element method for convection-diffusion-reaction equation,
The virtual element method for an obstacle problem of a Kirchhoff-Love plate,
Serendipity virtual elements for general elliptic equations in three dimensions,
Virtual element method for semilinear sine-Gordon equation over polygonal mesh using product approximation technique,
The nonconforming virtual element method for the Darcy-Stokes problem,
A divergence-free reconstruction of the nonconforming virtual element method for the Stokes problem,
Multiscale VEM for the Biot consolidation analysis of complex and highly heterogeneous domains,
A virtual element method for the coupled Stokes-Darcy problem with the Beaver-Joseph-Saffman interface condition,
Implementation of discontinuous skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming,
Nonconforming virtual element method for \(2m\)th order partial differential equations in \(\mathbb{R}^n\) with \(m>n\),
A hybrid mortar virtual element method for discrete fracture network simulations,
A modified nonconforming virtual element with BDM-like reconstruction for the Navier-Stokes equations,
Nonconforming virtual element method for the time fractional reaction-subdiffusion equation with non-smooth data,
Finite elements and virtual elements on classical meshes,
A hybrid high-order method for highly oscillatory elliptic problems,
Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media,
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods,
A plane wave virtual element method for the Helmholtz problem,
The nonconforming virtual element method for plate bending problems,
Some estimates for virtual element methods,
Finite element methods: research in India over the last decade,
\(n\)-sided polygonal hybrid finite elements with unified fundamental solution kernels for topology optimization,
Hybrid high-order methods for the elliptic obstacle problem,
A nonconforming virtual element method for the Stokes problem on general meshes,
A virtual element method for the wave equation on curved edges in two dimensions,
A hybrid high-order method for the incompressible Navier-Stokes equations based on Temam's device,
The nonconforming virtual element method for parabolic problems,
The nonconforming virtual element method for elasticity problems,
A posteriori error estimation and adaptivity in \textit{hp} virtual elements,
Lowest-order virtual element methods for linear elasticity problems,
A theoretical and numerical analysis of a Dirichlet-Neumann domain decomposition method for diffusion problems in heterogeneous media,
Weakly imposed Dirichlet boundary conditions for 2D and 3D virtual elements,
Unconditional error analysis of a linearized BDF2 virtual element method for nonlinear Ginzburg-Landau equation with variable time step,
Virtual element methods for three-dimensional Hellinger-Reissner elastostatic problems,
On the implementation of virtual element method for nonlinear problems over polygonal meshes,
Virtual element approximation of eigenvalue problems,
The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation,
The conforming virtual element method for polyharmonic and elastodynamics problems: a review,
A nonconforming virtual element method for a fourth-order hemivariational inequality in Kirchhoff plate problem,
Virtual elements for sound propagation in complex poroelastic media