DOI10.1016/S0168-9274(98)00015-4zbMath0936.65091OpenAlexW2066215158MaRDI QIDQ1294473
Zhilin Li
Publication date: 22 May 2000
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00015-4
An immersed discontinuous finite element method for Stokes interface problems,
Adaptive discontinuous Galerkin methods for elliptic interface problems,
Partially penalized immersed finite element methods for parabolic interface problems,
Two-Grid Immersed Finite Volume Element Methods for Semi-Linear Elliptic Interface Problems with Non-Homogeneous Jump Conditions,
An improved non-traditional finite element formulation for solving three-dimensional elliptic interface problems,
A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems,
Superconvergence of immersed finite element methods for interface problems,
Gradient preserved method for solving heat conduction equation with variable coefficients in double layers,
A study on unfitted 1D finite element methods,
A partially penalty immersed Crouzeix-Raviart finite element method for interface problems,
Asymptotically Compatible Schemes for Stochastic Homogenization,
A new absorbing layer for simulation of wave propagation based on a KdV model on unbounded domain,
A stabilized finite element method for the Stokes-Stokes coupling interface problem,
An immersed \(CR\)-\(P_0\) element for Stokes interface problems and the optimal convergence analysis,
Immersed virtual element methods for elliptic interface problems in two dimensions,
Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients,
A fictitious domain/distributed Lagrange multiplier based fluid-structure interaction scheme with hierarchical B-spline grids,
Unnamed Item,
Nonconforming spectral element method: a friendly introduction in one dimension and a short review in higher dimensions,
Study of the fragile points method for solving two-dimensional linear and nonlinear wave equations on complex and cracked domains,
Analysis of nonconforming IFE methods and a new scheme for elliptic interface problems,
Error analysis of Petrov-Galerkin immersed finite element methods,
A reconstructed discontinuous approximation on unfitted meshes to \(H(\mathrm{curl})\) and \(H(\mathrm{div})\) interface problems,
A robust multigrid method for one dimensional immersed finite element method,
Anisotropic immersed finite element methods for 1D elliptic interface systems,
Shape optimization with immersed interface finite element method,
A high order Cartesian grid, finite volume method for elliptic interface problems,
Least-squares methods with nonconforming finite elements for general second-order elliptic equations,
A conforming virtual element method based on unfitted meshes for the elliptic interface problem,
Construction of discontinuous enrichment functions for enriched or generalized FEM's for interface elliptic problems in 1D,
Gradient recovery for elliptic interface problem. II: Immersed finite element methods,
High-Order Enriched Finite Element Methods for Elliptic Interface Problems with Discontinuous Solutions,
A unified immersed finite element error analysis for one-dimensional interface problems,
High-order unfitted characteristic finite element methods for moving interface problem of Oseen equations,
An implicit particle-in-cell model based on anisotropic immersed-finite-element method,
An interface/boundary-unfitted eXtended HDG method for linear elasticity problems,
Monolithic and Partitioned Finite Element Schemes for Fsi Based on an Ale Divergence-Free Hdg Fluid Solver and a Tdnns Structural Solver,
A Discontinuous Galerkin Method by Patch Reconstruction for Elliptic Interface Problem on Unfitted Mesh,
Multigrid algorithm for immersed finite element discretizations of elliptic interface problems,
Unnamed Item,
An immersed selective discontinuous Galerkin method in particle-in-cell simulation with adaptive Cartesian mesh and polynomial preserving recovery,
The random feature method for solving interface problems,
An immersed Crouzeix-Raviart finite element method in 2D and 3D based on discrete level set functions,
A discrete fracture-matrix approach based on Petrov-Galerkin immersed finite element for fractured porous media flow on nonconforming mesh,
Approximation capability of a bilinear immersed finite element space,
A flux preserving immersed nonconforming finite element method for elliptic problems,
Unnamed Item,
Inf-sup stability of geometrically unfitted Stokes finite elements,
A FEM for Solving Two-Dimensional Nonlinear Elliptic-Parabolic Interface Problems with Nonhomogeneous Jump Conditions,
A Bilinear Petrov-Galerkin Finite Element Method for Solving Elliptic Equation with Discontinuous Coefficients,
An Immersed Finite Element Method for Elliptic Interface Problems with Multi-Domain and Triple Junction Points,
A Radial Basis Function Meshless Numerical Method for Solving Interface Problems in Irregular Domains,
An Immersed Discontinuous Galerkin Method for Acoustic Wave Propagation in Inhomogeneous Media,
Immersed finite element methods for parabolic equations with moving interface,
Gradient Recovery for Elliptic Interface Problem: I. Body-Fitted Mesh,
An Interface-Unfitted Conforming Enriched Finite Element Method for Stokes-Elliptic Interface Problems with Jump Coefficients,
A selective immersed discontinuous Galerkin method for elliptic interface problems,
Unnamed Item,
An Immersed Meshfree Galerkin Approach for Particle-Reinforced Composite Analysis,
High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources,
Quadratic immersed finite element spaces and their approximation capabilities,
Discontinuous Galerkin time‐domain solution of Maxwell's equations on locally refined grids with fictitious domains,
Eulerian finite cover method for quasi‐static equilibrium problems of hyperelastic bodies,
Discontinuous Galerkin immersed finite element methods for parabolic interface problems,
Finite Element Approximation of an Elliptic Boundary Value Problem with Interface,
Augmented immersed finite element methods for some elliptic partial differential equations,
Some numerical techniques for solving elliptic interface problems,
Simplified immersed interface methods for elliptic interface problems with straight interfaces,
The convergence of the bilinear and linear immersed finite element solutions to interface problems,
PIFE-PIC: Parallel Immersed Finite Element Particle-in-Cell for 3-D Kinetic Simulations of Plasma-Material Interactions,
Solving Parabolic Moving Interface Problems with Dynamical Immersed Spaces on Unfitted Meshes: Fully Discrete Analysis,
Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems,
An extended mixed finite element method for elliptic interface problems,
Enriched gradient recovery for interface solutions of the Poisson-Boltzmann equation,
An augmented immersed finite element method for variable coefficient elliptic interface problems in two and three dimensions,
Optimal convergence analysis of the energy-preserving immersed weak Galerkin method for second-order hyperbolic interface problems in inhomogeneous media,
A new parameter free partially penalized immersed finite element and the optimal convergence analysis,
A simple method for matrix-valued coefficient elliptic equations with sharp-edged interfaces,
New immersed finite volume element method for elliptic interface problems with non-homogeneous jump conditions,
The stable extrinsic extended finite element method for second order elliptic equation with interfaces,
Solving three-dimensional interface problems with immersed finite elements: a-priori error analysis,
A second order accuracy preserving method for moving contact lines with Stokes flow,
Immersed finite element methods for unbounded interface problems with periodic structures,
The ghost solid methods for the elastic-plastic solid-solid interface and the \(\vartheta\)-criterion,
An immersed Raviart-Thomas mixed finite element method for elliptic interface problems on unfitted meshes,
A substructuring method for phase change modelling in hybrid media,
Multidomain Legendre-Galerkin Chebyshev-collocation method for one-dimensional evolution equations with discontinuity,
Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems,
An adaptive simplex cut-cell method for high-order discontinuous Galerkin discretizations of elliptic interface problems and conjugate heat transfer problems,
A fictitious domain method with a hybrid cell model for simulating motion of cells in fluid flow,
Mixed formulation for interface problems with distributed Lagrange multiplier,
A numerical method for solving two-dimensional elliptic interface problems with nonhomogeneous flux jump condition and nonlinear jump condition,
Local discontinuous Galerkin methods for parabolic interface problems with homogeneous and non-homogeneous jump conditions,
Interior penalty bilinear IFE discontinuous Galerkin methods for elliptic equations with discontinuous coefficient,
A second order isoparametric finite element method for elliptic interface problems,
A priori error estimates in the finite element method for nonself-adjoint elliptic and parabolic interface problems,
Accurate gradient computations at interfaces using finite element methods,
Interface-penalty finite element methods for interface problems in \(H^1\), \(\boldsymbol{H} (\mathbf{curl})\), and \(\boldsymbol{H} (\operatorname{div})\),
Arbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin methods for incompressible flow with moving boundaries and interfaces,
An iteratively adaptive multi-scale finite element method for elliptic PDEs with rough coefficients,
Long time error estimates of IFE methods for the unsteady multi-layer porous wall model,
Superconvergence of immersed finite volume methods for one-dimensional interface problems,
A priori error estimates for some discontinuous Galerkin immersed finite element methods,
A conforming enriched finite element method for elliptic interface problems,
An iteratively adaptive multiscale finite element method for elliptic interface problems,
Asymptotic boundary conditions with immersed finite elements for interface magnetostatic/electrostatic field problems with open boundary,
A second order virtual node method for elliptic problems with interfaces and irregular domains in three dimensions,
A numerical method for solving elasticity equations with interface involving multi-domains and triple junction points,
A matched interface and boundary method for solving multi-flow Navier-Stokes equations with applications to geodynamics,
Gradient recovery for elliptic interface problem. III: Nitsche's method,
A Huygens immersed-finite-element particle-in-cell method for modeling plasma-surface interactions with moving interface,
Linear and bilinear immersed finite elements for planar elasticity interface problems,
Error estimates for an augmented method for one-dimensional elliptic interface problems,
A new iterative method for linear systems from XFEM,
A numerical method for solving elliptic interface problems using Petrov-Galerkin formulation with adaptive refinement,
Discontinuous Galerkin immersed finite volume element method for anisotropic flow models in porous medium,
High-order orthogonal spline collocation methods for two-point boundary value problems with interfaces,
Numerical solution for elliptic interface problems using spectral element collocation method,
A Petrov-Galerkin finite element interface method for interface problems with Bloch-periodic boundary conditions and its application in phononic crystals,
Higher degree immersed finite element spaces constructed according to the actual interface,
An improved immersed finite element particle-in-cell method for plasma simulation,
Nonconforming immersed finite element spaces for elliptic interface problems,
An immersed interface method for Pennes bioheat transfer equation,
A symmetric and consistent immersed finite element method for interface problems,
Constructing spectral schemes of the immersed interface method via a global description of discontinuous functions,
An interface-fitted adaptive mesh method for elliptic problems and its application in free interface problems with surface tension,
Multimesh finite element methods: solving PDEs on multiple intersecting meshes,
Modified intrinsic extended finite element method for elliptic equation with interfaces,
A fictitious domain method with distributed Lagrange multiplier for parabolic problems with moving interfaces,
A note on the immersed finite element basis functions for elliptic interface problems,
A two-grid method for semi-linear elliptic interface problems by partially penalized immersed finite element methods,
Highly accurate finite element method for one-dimensional elliptic interface problems,
A conforming enriched finite element method for Stokes interface problems,
High-order finite element-integral equation coupling on embedded meshes,
An interpolation matched interface and boundary method for elliptic interface problems,
Error estimates in weighted Sobolev norms for finite element immersed interface methods,
Error estimates for an immersed finite element method for second order hyperbolic equations in inhomogeneous media,
Immersed finite element methods for 4th order differential equations,
A fourth-order collocation scheme for two-point interface boundary value problems,
Some new a priori estimates for second-order elliptic and parabolic interface problems,
Spectral collocation and radial basis function methods for one-dimensional interface problems,
Accurate gradient preserved method for solving heat conduction equations in double layers,
A finite element method for Allen-Cahn equation on deforming surface,
A class of nonconforming immersed finite element methods for Stokes interface problems,
A fully decoupled iterative method with three-dimensional anisotropic immersed finite elements for Kaufman-type discharge problems,
Multimesh finite elements with flexible mesh sizes,
A multimesh finite element method for the Navier-Stokes equations based on projection methods,
A second order virtual node method for elliptic problems with interfaces and irregular domains,
A 3D immersed finite element method with non-homogeneous interface flux jump for applications in particle-in-cell simulations of plasma-lunar surface interactions,
An iterative immersed finite element method for an electric potential interface problem based on given surface electric quantity,
An optimal multigrid algorithm for the combining \(P_1\)-\(Q_1\) finite element approximations of interface problems based on local anisotropic fitting meshes,
Residual-based a posteriori error estimation for immersed finite element methods,
Modeling and an immersed finite element method for an interface wave equation,
Two-grid methods for semi-linear elliptic interface problems by immersed finite element methods,
Unfitted Nitsche's method for computing wave modes in topological materials,
Distributed Lagrange multiplier/fictitious domain finite element method for Stokes/parabolic interface problems with jump coefficients,
A \(p\)-th degree immersed finite element for boundary value problems with discontinuous coefficients,
A model order reduction method for computational homogenization at finite strains on regular grids using hyperelastic laminates to approximate interfaces,
An unfitted interface penalty finite element method for elliptic interface problems,
An immersed weak Galerkin method for elliptic interface problems,
High degree discontinuous Petrov-Galerkin immersed finite element methods using fictitious elements for elliptic interface problems,
Corrected finite element methods on unfitted meshes for Stokes moving interface problem,
High order symmetric direct discontinuous Galerkin method for elliptic interface problems with fitted mesh,
A bilinear partially penalized immersed finite element method for elliptic interface problems with multi-domain and triple-junction points,
Extended HDG methods for second order elliptic interface problems,
Convergence of an adaptive discontinuous Galerkin method for elliptic interface problems,
An interface penalty finite element method for elliptic interface problems on piecewise meshes,
The immersed finite volume element methods for the elliptic interface problems,
An unfitted finite element method by direct extension for elliptic problems on domains with curved boundaries and interfaces,
An over-penalized weak Galerkin method for parabolic interface problems with time-dependent coefficients,
A study of high-order immersed finite element spaces by pointwise interface conditions on curved interfaces,
On a fictitious domain method with distributed Lagrange multiplier for interface problems