Hierarchical A Posteriori Error Estimators for Mortar Finite Element Methods with Lagrange Multipliers

DOI10.1137/S0036142997330512zbMath0942.65123OpenAlexW2037067761MaRDI QIDQ4271008

Barbara I. Wohlmuth

Publication date: 22 November 1999

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142997330512

zbMATH Keywords

Lagrange multipliernumerical examplesmortar finite element methodsadaptive mesh refinementdefect correction methodadaptive gridsa posteriori error estimationsecond-order elliptic equationsdiscontinuous coefficient

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) PDEs with low regular coefficients and/or low regular data (35R05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (15)

Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method ⋮ Domain decomposition method and numerical analysis of a fluid dynamics problem ⋮ A dual pass mortar approach for unbiased constraints and self-contact ⋮ \textit{A posteriori} error estimates for hierarchical mixed-dimensional elliptic equations ⋮ Explicit synchronous partitioned algorithms for interface problems based on Lagrange multipliers ⋮ Multiscale modeling of concrete. From mesoscale to macroscale ⋮ Treatment of acoustic fluid-structure interaction by localized Lagrange multipliers and comparison to alternative interface-coupling methods ⋮ Some new residual-based a posteriori error estimators for the mortar finite element methods ⋮ Error estimates and adaptive finite element methods ⋮ A natural domain decomposition method with non-matching grids ⋮ A Classification of Interface Treatments for FSI ⋮ A hierarchical a posteriori error estimator for the reduced basis method ⋮ Variationally consistent discretization schemes and numerical algorithms for contact problems ⋮ Two-scale Dirichlet-Neumann preconditioners for elastic problems with boundary refinements ⋮ Index reduction for operator differential-algebraic equations in elastodynamics

This page was built for publication: Hierarchical A Posteriori Error Estimators for Mortar Finite Element Methods with Lagrange Multipliers