Error Estimates for Two-Scale Composite Finite Element Approximations of Nonlinear Parabolic Equations

DOI10.4208/jcm.2001-m2019-0117zbMath1499.65518OpenAlexW3166338582WikidataQ114021203 ScholiaQ114021203MaRDI QIDQ5079517

Tamal Pramanick

Publication date: 27 May 2022

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

Full work available at URL: https://doi.org/10.4208/jcm.2001-m2019-0117

zbMATH Keywords

error estimatecomposite finite elementssemidiscretenonlinear parabolic problemsfully discretecoarse-scalefine-scale

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Uses Software

• FreeFem++

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two-scale composite finite element method for Dirichlet problems on complicated domains
• Composite finite elements for elliptic boundary value problems with discontinuous coefficients
• Composite finite elements for the approximation of PDEs on domains with complicated micro-structures
• Two-scale composite finite element method for parabolic problems with smooth and nonsmooth initial data
• Coarse grid spaces for domains with a complicated boundary
• An algorithm for coarsening unstructured meshes
• Composite finite element approximation for parabolic problems in nonconvex polygonal domains
• Error estimates for two-scale composite finite element approximations of parabolic equations with measure data in time for convex and nonconvex polygonal domains
• The Composite Mini Element—Coarse Mesh Computation of Stokes Flows on Complicated Domains
• Tetrahedral composite finite elements
• A comparison of adaptive refinement techniques for elliptic problems
• Composite finite element approximation for nonlinear parabolic problems in nonconvex polygonal domains
• New development in freefem++
• The Mathematical Theory of Finite Element Methods
• Galerkin Finite Element Methods for Parabolic Problems
• Composite finite elements for problems containing small geometric details. II: Implementation and numerical results

This page was built for publication: Error Estimates for Two-Scale Composite Finite Element Approximations of Nonlinear Parabolic Equations