A posteriori error bounds for mixed FEM's with curvilinear finite elements for 4th-order elliptic equations

DOI10.1134/S1995080224602947MaRDI QIDQ6649029

V. V. Korneev

Publication date: 5 December 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

mixed finite element methodhigher order methodsa posteriori error boundssingularly perturbed elliptic equations4th-order elliptic equations\(C^1\) curvilinear finite elements

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Higher-order elliptic equations (35J30) Singular elliptic equations (35J75)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
• Residual-based a posteriori error estimators for mixed finite element methods for fourth order elliptic singularly perturbed problems
• A note on a posteriori error bounds for numerical solutions of elliptic equations with a piecewise constant reaction coefficient having large jumps
• A residual-based a posteriori error estimator for Ciarlet-Raviart formulation of the first biharmonic problem
• Residual-based a posteriori error estimator for the mixed finite element approximation of the biharmonic equation
• An a posteriori error estimator for a quadratic C0-interior penalty method for the biharmonic problem
• A method for the approximate solution of the Dirichlet problem for the biharmonic equation
• Iterative methods of solving systems of equations of the finite element method
• Curved Elements in the Finite Element Method. I

This page was built for publication: A posteriori error bounds for mixed FEM's with curvilinear finite elements for 4th-order elliptic equations

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6649029)