An a posteriori error indicator for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations
From MaRDI portal
Publication:3417902
DOI10.1093/imanum/drl012zbMath1148.65088OpenAlexW2003160577MaRDI QIDQ3417902
Dominik Schötzau, Ilaria Perugia, Paul Houston
Publication date: 31 January 2007
Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imanum/drl012
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)
Related Items
The a Posteriori Error Estimator of SDG Method for Variable Coefficients Time-Harmonic Maxwell's Equations ⋮ A-posteriori error analysis for a staggered discontinuous Galerkin discretization of the time-harmonic Maxwell's equations ⋮ A VSIE based time domain discontinuous Galerkin method for composite conducting dispersive dielectric objects ⋮ An adaptive staggered discontinuous Galerkin method for the steady state convection-diffusion equation ⋮ A posteriori error estimates of \(h p\)-discontinuous Galerkin method for strongly nonlinear elliptic problems ⋮ Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems ⋮ Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems ⋮ A posteriori error estimator for mixed interior penalty discontinuous Galerkin finite element method for the \(\boldsymbol{H}(\operatorname{curl})\)-elliptic problems ⋮ The mixed discontinuous Galerkin method for transmission eigenvalues for anisotropic medium ⋮ A posteriori error estimate for a modified weak Galerkin method of 2D \(\boldsymbol{H}(\mathrm{curl})\) elliptic problems ⋮ The discontinuous Galerkin and the nonconforming ECR element approximations for an MHD Stokes eigenvalue problem ⋮ Weak Galerkin finite element methods with and without stabilizers for H(div;Ω)${\bf H}(\mbox{div}; \Omega )$‐elliptic problems ⋮ A posteriori error estimates of discontinuous Galerkin method for nonmonotone quasi-linear elliptic problems ⋮ An adaptive SDG method for the Stokes system ⋮ Adaptive edge element approximation of \(H(\mathrm{curl}\)-elliptic optimal control problems with control constraints ⋮ Guaranteed Error Bounds for Conforming Approximations of a Maxwell Type Problem ⋮ A posteriori error estimator based on gradient recovery by averaging for discontinuous Galerkin methods ⋮ Unnamed Item ⋮ Efficient computable error bounds for discontinuous Galerkin approximations of elliptic problems ⋮ A priori and computable a posteriori error estimates for an HDG method for the coercive Maxwell equations ⋮ Two-level iterative algorithms for two-dimensional \(H(\mathrm{curl})\)-elliptic problem with a symmetry interior penalty discontinuous Galerkin method