Composite finite element approximation for parabolic problems in nonconvex polygonal domains

DOI10.1515/cmam-2018-0155zbMath1439.65119OpenAlexW2914538904MaRDI QIDQ1985905

Tamal Pramanick, Rajen Kumar Sinha

Publication date: 7 April 2020

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2018-0155

zbMATH Keywords

error estimatenonsmooth datasemidiscretefully discrete

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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) Variational methods for second-order elliptic equations (35J20)

Related Items

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

Uses Software

• FreeFem++

Cites Work

• Two-scale composite finite element method for Dirichlet problems on complicated domains
• Composite finite elements for elliptic boundary value problems with discontinuous coefficients
• Parabolic finite element equations in nonconvex polygonal domains
• Semigroups of linear operators and applications to partial differential equations
• 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
• Finite element method for domains with corners
• $hp$-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains
• Parabolic finite volume element equations in nonconvex polygonal domains
• The Composite Mini Element—Coarse Mesh Computation of Stokes Flows on Complicated Domains
• Regularity estimates for elliptic boundary value problems in Besov spaces
• New development in freefem++
• The Mathematical Theory of Finite Element Methods
• Galerkin Finite Element Methods for Parabolic Problems
• Generation of Analytic Semigroups by Strongly Elliptic Operators
• Composite finite elements for problems containing small geometric details. II: Implementation and numerical results
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