A weak Galerkin finite element method for the Maxwell equations

From MaRDI portal
Publication:898432

DOI10.1007/s10915-014-9964-4zbMath1327.65220arXiv1312.2309OpenAlexW2558735048WikidataQ62727786 ScholiaQ62727786MaRDI QIDQ898432

Xiu Ye, Junping Wang, Lin Mu, Shangyou Zhang

Publication date: 9 December 2015

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.2309




Related Items (only showing first 100 items - show all)

Semi-Discrete and Fully Discrete Weak Galerkin Finite Element Methods for a Quasistatic Maxwell Viscoelastic ModelA BDDC Algorithm for Weak Galerkin DiscretizationsWeak Galerkin finite element methods for \(\mathbf{H}(\mathrm{curl};\Omega)\) and \(\mathbf{H}(\mathrm{curl},\operatorname{div};\Omega)\)-elliptic problemsA weak Galerkin method and its two‐grid algorithm for the quasi‐linear elliptic problems of non‐monotone typeA stabilizer free weak Galerkin finite element method with supercloseness of order twoA P0P0 weak Galerkin finite element method for solving singularly perturbed reaction–diffusion problemsSupercloseness of weak Galerkin method for a singularly perturbed convection-diffusion problem in 2DAn immersed weak Galerkin method for elliptic interface problems on polygonal meshesA weak Galerkin finite-element method for singularly perturbed convection-diffusion-reaction problems with interfaceA weak Galerkin finite element method for Allen–Cahn equation with a nonuniform two‐step backward differentiation formula schemeA pressure‐robust weak Galerkin finite element method for <scp>Navier–Stokes</scp> equationsA systematic study on weak Galerkin finite element method for second‐order parabolic problemsA simplified primal‐dual weak Galerkin finite element method for Fokker–Planck‐type equationsAn adaptive weak Galerkin finite element method with hierarchical bases for the elliptic problemNumerical and theoretical study of weak Galerkin finite element solutions of Turing patterns in reaction–diffusion systemsWeak Galerkin finite element method for a class of time fractional generalized Burgers' equationA weak Galerkin finite element method for nonlinear convection-diffusion equationTwo‐order superconvergence for a weak Galerkin method on rectangular and cuboid gridsA modified weak Galerkin method for \(\boldsymbol{H}(\mathrm{curl})\)-elliptic problemUnnamed ItemRobust globally divergence-free weak Galerkin finite element method for incompressible magnetohydrodynamics flowError analysis of a weak Galerkin finite element method for singularly perturbed differential-difference equationsHigh-order weak Galerkin scheme for \(\mathbf{H} (\mathrm{div})\)-elliptic interface problemsA New Weak Galerkin Method with Weakly Enforced Dirichlet Boundary ConditionConvergence of adaptive two-grid weak Galerkin finite element methods for semilinear elliptic differential equationsWeak Galerkin finite element methods with and without stabilizers for H(div;Ω)${\bf H}(\mbox{div}; \Omega )$‐elliptic problemsA new over-penalized weak Galerkin method. III: Convection-diffusion-reaction problemsA locking-free weak Galerkin finite element method for linear elasticity problems$(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic EquationsA Numerical Analysis of the Weak Galerkin Method for the Helmholtz Equation with High Wave NumberA Posteriori Error Estimates for the Weak Galerkin Finite Element Methods on Polytopal MeshesRobust Globally Divergence-Free Weak Galerkin Finite Element Methods for Natural Convection ProblemsA Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion--Reaction ProblemsH(curl$^2$)-Conforming Finite Elements in 2 Dimensions and Applications to the Quad-Curl ProblemUnnamed ItemA WEAK GALERKIN METHOD FOR SECOND ORDER ELLIPTIC PROBLEMS WITH POLYNOMIAL REDUCTIONA Robust Modified Weak Galerkin Finite Element Method for Reaction-Diffusion EquationsDeveloping weak Galerkin finite element methods for the wave equationA weak Galerkin finite element scheme for solving the stationary Stokes equationsA weak Galerkin/finite difference method for time-fractional biharmonic problems in two dimensionsA time-domain finite element scheme and its analysis for nonlinear Maxwell's equations in Kerr mediaRobust a-posteriori error estimates for weak Galerkin method for the convection-diffusion problemA weak Galerkin generalized multiscale finite element methodA weak Galerkin finite element approximation of two-dimensional sub-diffusion equation with time-fractional derivativeA family of interior-penalized weak Galerkin methods for second-order elliptic equationsThe weak Galerkin method for solving the incompressible Brinkman flowA robust weak Galerkin finite element method for linear elasticity with strong symmetric stressesConvergence of an adaptive modified WG method for second-order elliptic problemA hybrid high-order method for the Sobolev equationDiscontinuous Galerkin methods for Maxwell's equations in Drude metamaterials on unstructured meshesDiscretization of div-curl systems by weak Galerkin finite element methods on polyhedral partitionsA discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostaticsAn extended Galerkin analysis in finite element exterior calculusA weak Galerkin method with rectangle partitions for the Signorini problemSupercloseness and postprocessing of stabilizer-free weak Galerkin finite element approximations for parabolic problemsA weak Galerkin least-squares finite element method for div-curl systemsUniform convergence of a weak Galerkin finite element method on Shishkin mesh for singularly perturbed convection-diffusion problems in 2DA Weak Galerkin Mixed Finite Element Method for Acoustic Wave EquationUnconditionally optimal error estimates of a linearized weak Galerkin finite element method for semilinear parabolic equationsDeveloping a time-domain finite element method for the Lorentz metamaterial model and applicationsA Posteriori Error Estimates for a Modified Weak Galerkin Finite Element Approximation of Second Order Elliptic Problems with DG NormA weak Galerkin finite element method for high dimensional time-fractional diffusion equationOptimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterialsWeak Galerkin methods for time-dependent Maxwell's equationsA weak Galerkin finite element scheme with boundary continuity for second-order elliptic problemsA Posteriori Error Estimates of Edge Residual-Type of Weak Galerkin Mixed FEM Solving Second-Order Elliptic Problems on Polytopal MeshA new modified weak Galerkin finite element scheme for solving the stationary Stokes equationsWeak Galerkin finite element method for Biot's consolidation problemUniform convergence of a weak Galerkin method for singularly perturbed convection-diffusion problemsUniform convergent modified weak Galerkin method for convection-dominated two-point boundary value problemsA weak Galerkin finite element method for indefinite time-harmonic Maxwell equationsA weak Galerkin finite element method can compute both upper and lower eigenvalue boundsModified weak Galerkin method with weakly imposed boundary condition for convection-dominated diffusion equationsA Uniformly Robust H(DIV) Weak Galerkin Finite Element Methods for Brinkman ProblemsA stabilizer-free \(C^0\) weak Galerkin method for the biharmonic equationsSuperconvergence of numerical gradient for weak Galerkin finite element methods on nonuniform Cartesian partitions in three dimensionsAn absolutely stable $hp$-HDG method for the time-harmonic Maxwell equations with high wave numberSupercloseness of weak Galerkin method on Bakhvalov-type mesh for a singularly perturbed problem in 1DA uniformly convergent weak Galerkin finite element method on Shishkin mesh for 1d convection-diffusion problemA lowest-order weak Galerkin method for linear elasticityUnnamed ItemA weak Galerkin finite element method for nonlinear conservation lawsA penalized weak Galerkin spectral element method for second order elliptic equationsWeak Galerkin finite element method with second-order accuracy in time for parabolic problemsError analysis of weak Galerkin finite element methods for time-dependent convection-diffusion equationsA Fully Computable A Posteriori Error Estimate for the Stokes Equations on Polytopal MeshesA unified study of continuous and discontinuous Galerkin methodsSuperconvergence recovery of cubic edge elements for Maxwell's equationsError estimates in weak Galerkin finite element methods for parabolic equations under low regularity assumptionsWeak Galerkin method for the Biot's consolidation modelWeak Galerkin Finite Element Methods for Parabolic Interface Problems with Nonhomogeneous Jump ConditionsUnnamed ItemA study of mixed problem for second order elliptic problems using modified weak Galerkin finite element methodA WEAK GALERKIN FINITE ELEMENT METHOD FOR THE SECOND ORDER ELLIPTIC PROBLEMS WITH MIXED BOUNDARY CONDITIONSWeak Galerkin finite element methods with or without stabilizersDiscrete maximum principle for the weak Galerkin method on triangular and rectangular meshesA systematic study on weak Galerkin finite element methods for second order elliptic problemsA weak Galerkin-mixed finite element method for the Stokes-Darcy problemThe cascadic multigrid method of the weak Galerkin method for second-order elliptic equationTheoretical and numerical analysis of a non-local dispersion model for light interaction with metallic nanostructures



Cites Work


This page was built for publication: A weak Galerkin finite element method for the Maxwell equations