Linear finite element superconvergence on simplicial meshes

DOI10.1090/S0025-5718-2014-02810-XzbMath1312.65187OpenAlexW2061287181MaRDI QIDQ3189418

Jie Chen, Desheng Wang, Qiang Du

Publication date: 10 September 2014

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-2014-02810-x

zbMATH Keywords

finite element methodserror boundsuperconvergencesecond-order elliptic boundary value problemsimplicial meshesedge pair conditionedge patterns

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (8)

Adaptive mixed-hybrid and penalty discontinuous Galerkin method for two-phase flow in heterogeneous media ⋮ The Hessian discretisation method for fourth order linear elliptic equations ⋮ Adaptive tetrahedral mesh generation by constrained centroidal voronoi‐delaunay tessellations for finite element methods ⋮ Superconvergent gradient recovery for nonlinear Poisson-Nernst-Planck equations with applications to the ion channel problem ⋮ Guaranteed and asymptotically exact a posteriori error estimator for lowest-order Raviart-Thomas mixed finite element method ⋮ Local ultraconvergence of quadratic element ⋮ Local ultraconvergence of linear and bilinear finite element method for second order elliptic problems ⋮ A Simple Geometric Method for Navigating the Energy Landscape of Centroidal Voronoi Tessellations

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