Local a posteriori estimates for pointwise gradient errors in finite element methods for elliptic problems

DOI10.1090/S0025-5718-06-01879-5zbMath1144.65068OpenAlexW2079626492MaRDI QIDQ3420420

Alan Demlow

Publication date: 2 February 2007

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-06-01879-5

zbMATH Keywords

numerical examplesunstructured meshesfinite element methodsa posteriori error estimatessecond-order linear elliptic equationlocal error analysis

Mathematics Subject Classification ID

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items

Quasi-optimality of adaptive finite element methods for controlling local energy errors ⋮ A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models ⋮ Guaranteed local error estimation for finite element solutions of boundary value problems ⋮ Supremum-norm a posteriori error control of quadratic discontinuous Galerkin methods for the obstacle problem ⋮ Adaptive finite element methods for elliptic equations over hierarchical T-meshes ⋮ A posteriori error estimates for finite volume approximations of elliptic equations on general surfaces ⋮ Local pointwise a posteriori gradient error bounds for the Stokes equations ⋮ Sharply local pointwise a posteriori error estimates for parabolic problems ⋮ Local energy estimates for the finite element method on sharply varying grids ⋮ Hölder estimates for Green's functions on convex polyhedral domains and their applications to finite element methods ⋮ A posteriori \(L^\infty(L^\infty)\)-error estimates for finite-element approximations to parabolic optimal control problems

Uses Software

• ALBERT
• ALBERTA

Cites Work

• Unnamed Item
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