$hp$-dGFEM for second-order mixed elliptic problems in polyhedra

DOI10.1090/mcom/3062zbMath1332.65173OpenAlexW4251646816MaRDI QIDQ2792357

Christoph Schwab, Thomas P. Wihler, Dominik Schötzau

Publication date: 9 March 2016

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mcom/3062

zbMATH Keywords

exponential convergencemixed Dirichlet-Neumann boundary conditions\(hp\)-dGFEMsecond-order elliptic problems in 3D polyhedra

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Elliptic equations and elliptic systems (35Jxx)

Related Items (10)

Tensor rank bounds for point singularities in \(\mathbb{R}^3\) ⋮ Interior energy error estimates for the weak Galerkin finite element method ⋮ Exponential convergence of \(hp\)-FEM for elliptic problems in polyhedra: mixed boundary conditions and anisotropic polynomial degrees ⋮ Condition numbers of finite element methods on a class of anisotropic meshes ⋮ An anisotropic finite element method on polyhedral domains: Interpolation error analysis ⋮ Regularity and a priori error analysis on anisotropic meshes of a Dirichlet problem in polyhedral domains ⋮ A priori analysis of an anisotropic finite element method for elliptic equations in polyhedral domains ⋮ On the exponent of exponential convergence of \(p\)-version FEM spaces ⋮ Stability and convergence of spectral mixed discontinuous Galerkin methods for 3D linear elasticity on anisotropic geometric meshes ⋮ Regularity and hp discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials

Cites Work

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• Mixed Boundary Value Problems for Nonlinear Elliptic Systems withp-Structure in Polyhedral Domains
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• EXPONENTIAL CONVERGENCE OF hp-FEM FOR MAXWELL EQUATIONS WITH WEIGHTED REGULARIZATION IN POLYGONAL DOMAINS

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