Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis
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Publication:706230
DOI10.1007/s00211-004-0548-3zbMath1062.65113OpenAlexW2053482768MaRDI QIDQ706230
Sören Bartels, Carsten Carstensen, Georg Dolzmann
Publication date: 8 February 2005
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-004-0548-3
finite element approximationa posteriori error estimateselliptic partial differential equationsDirichlet boundary data
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An adaptive mesh-refining algorithm allowing for an \(H^1\) stable \(L^2\) projection onto Courant finite element spaces
- Averaging techniques yield reliable a posteriori finite element error control for obstacle problems
- A posteriori error estimates for nonconforming finite element methods
- On the stability of the $L^2$ projection in $H^1(\Omega)$
- Merging the Bramble-Pasciak-Steinbach and the Crouzeix-Thomée criterion for $H^1$-stability of the $L^2$-projection onto finite element spaces
- The Stability in L p and W p 1 of the L 2 -Projection onto Finite Element Function Spaces
- Interpolated Boundary Conditions in the Finite Element Method
- An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation
- Edge Residuals Dominate A Posteriori Error Estimates for Low Order Finite Element Methods
- Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM
- Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM
- Quasi-Interpolation and A Posteriori Error Analysis in Finite Element Methods