An adaptive mesh-refining algorithm allowing for an \(H^1\) stable \(L^2\) projection onto Courant finite element spaces

From MaRDI portal
Publication:706341

DOI10.1007/s00365-003-0550-5zbMath1064.65143OpenAlexW2107036244MaRDI QIDQ706341

Carsten Carstensen

Publication date: 8 February 2005

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-003-0550-5



Related Items

An adjoint-based adaptive error approximation of functionals by the hybridizable discontinuous Galerkin method for second-order elliptic equations, Axioms of adaptivity, Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation, On 2D newest vertex bisection: optimality of mesh-closure and \(H ^{1}\)-stability of \(L _{2}\)-projection, Erratum to: ``On 2D newest vertex bisection: optimality of mesh-closure and \(H^1\)-stability of \(L_2\)-projection, Ameshref: A Matlab-Toolbox for Adaptive Mesh Refinement in Two Dimensions, An oscillation-free adaptive FEM for symmetric eigenvalue problems, On the \(H^1\)-stability of the \(L_2\)-projection onto finite element spaces, Adaptive mesh refinement in 2D -- an efficient implementation in \textsc{Matlab}, Computational competition of symmetric mixed FEM in linear elasticity, Guaranteed energy error estimators for a modified robust Crouzeix-Raviart Stokes element, On the Sobolev and $L^p$-Stability of the $L^2$-Projection, A fictitious domain approach with Lagrange multiplier for fluid-structure interactions, On a randomized backward Euler method for nonlinear evolution equations with time-irregular coefficients, Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis, Estimates for the \(L_{2}\)-projection onto continuous finite element spaces in a weighted \(L_{p }\)-norm, A coarsening algorithm on adaptive red-green-blue refined meshes, Optimal operator preconditioning for pseudodifferential boundary problems, Robust recovery-type \textit{a posteriori} error estimators for streamline upwind/Petrov Galerkin discretizations for singularly perturbed problems, A Tetrahedral Space-Filling Curve for Nonconforming Adaptive Meshes, A randomized and fully discrete Galerkin finite element method for semilinear stochastic evolution equations, Convergence of adaptive finite element methods in computational mechanics, Convergence of adaptive 3D BEM for weakly singular integral equations based on isotropic mesh-refinement