A mortar element method for elliptic problems with discontinuous coefficients
From MaRDI portal
Publication:4787675
DOI10.1093/imanum/22.4.549zbMath1014.65117OpenAlexW2064489274MaRDI QIDQ4787675
Publication date: 25 June 2003
Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/51fc3ca8584cc630683585efbc2fb4881ff089c2
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05)
Related Items (39)
On the Convergence of Finite Element Method for Second Order Elliptic Interface Problems ⋮ Solving elliptic problems with discontinuities on irregular domains -- the Voronoi interface method ⋮ Second order finite-difference ghost-point multigrid methods for elliptic problems with discontinuous coefficients on an arbitrary interface ⋮ An efficient multigrid method for semilinear interface problems ⋮ A coupling interface method for elliptic interface problems ⋮ Imposing mixed Dirichlet-Neumann-Robin boundary conditions in a level-set framework ⋮ An implicit interface boundary integral method for Poisson's equation on arbitrary domains ⋮ Accurate gradient approximation for complex interface problems in 3D by an improved coupling interface method ⋮ Nonconforming least-squares method for elliptic partial differential equations with smooth interfaces ⋮ A level-set multigrid technique for nonlinear diffusion in the numerical simulation of marble degradation under chemical pollutants ⋮ Gradient preserved method for solving heat conduction equation with variable coefficients in double layers ⋮ A uniformly well-conditioned, unfitted Nitsche method for interface problems ⋮ A regularized domain decomposition method with Lagrange multiplier ⋮ Analysis of a Fully Discrete Finite Element Method for Parabolic Interface Problems with Nonsmooth Initial Data ⋮ Augmented coupling interface method for solving eigenvalue problems with sign-changed coefficients ⋮ Two-grid methods of finite element solutions for semi-linear elliptic interface problems ⋮ Domain decomposition method and numerical analysis of a fluid dynamics problem ⋮ Convergence analysis of finite element methods for \(H\) (curl; \(\Omega \))-elliptic interface problems ⋮ A second order virtual node method for elliptic problems with interfaces and irregular domains in three dimensions ⋮ Coupling of direct discontinuous Galerkin method and natural boundary element method for exterior interface problems with curved elements ⋮ A Voronoi interface approach to cell aggregate electropermeabilization ⋮ A two-grid method for semi-linear elliptic interface problems by partially penalized immersed finite element methods ⋮ Fully discrete least-squares spectral element method for parabolic interface problems ⋮ An interpolation matched interface and boundary method for elliptic interface problems ⋮ Optimal a priori estimates for higher order finite elements for elliptic interface problems ⋮ Mortar methods with curved interfaces ⋮ Some new a priori estimates for second-order elliptic and parabolic interface problems ⋮ Accurate gradient preserved method for solving heat conduction equations in double layers ⋮ A mortar finite element approximation for the linear Poisson-Boltzmann equation ⋮ Convergence analysis of finite element methods for H(div;Ω)-elliptic interface problems ⋮ A second order virtual node method for elliptic problems with interfaces and irregular domains ⋮ Two-grid methods for semi-linear elliptic interface problems by immersed finite element methods ⋮ Discontinuous Galerkin least-squares finite element methods for singularly perturbed reaction-diffusion problems with discontinuous coefficients and boundary singularities ⋮ A family of two-grid partially penalized immersed finite element methods for semi-linear parabolic interface problems ⋮ Spectral element method for three dimensional elliptic problems with smooth interfaces ⋮ An interface penalty finite element method for elliptic interface problems on piecewise meshes ⋮ Mortar method for nonconforming finite elements ⋮ Higher order mortar finite element methods in 3D with dual Lagrange multiplier bases ⋮ Local discontinuous Galerkin method for parabolic interface problems
This page was built for publication: A mortar element method for elliptic problems with discontinuous coefficients
