EachH1/2–stable projection yields convergence and quasi–optimality of adaptive FEM with inhomogeneous Dirichlet data in Rd

DOI10.1051/m2an/2013069zbMath1275.65078arXiv1306.5115OpenAlexW3098012691MaRDI QIDQ2842460

Dirk Praetorius, J. Kemetmüller, Markus Aurada, Michael Feischl, Marcus Page

Publication date: 14 August 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5115

zbMATH Keywords

stabilityconvergencenumerical experimentserror estimationPoisson equationadaptive finite element methodsecond-order elliptic equationsquasi-optimalitymixed Dirichlet-Neumann boundary conditionsinhomogeneous Dirichlet dataScott-Zhang projection

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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