Analysis of output-based error estimation for finite element methods

DOI10.1016/j.apnum.2017.03.004zbMath1367.65166OpenAlexW2596456241MaRDI QIDQ2359656

Hugh A. Carson, Steven R. Allmaras, Marshall C. Galbraith, David L. Darmofal

Publication date: 22 June 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.03.004

zbMATH Keywords

convergenceerror estimatesfinite element methodstabilizationPoisson problemdiscontinuous Galerkinhybridizable discontinuous Galerkinoutput functional estimation

Mathematics Subject Classification ID

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

Anisotropic mesh adaptation for continuous finite element discretization through mesh optimization via error sampling and synthesis ⋮ An adjoint-based adaptive error approximation of functionals by the hybridizable discontinuous Galerkin method for second-order elliptic equations ⋮ Convergence of Anisotropic Mesh Adaptation via Metric Optimization

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