Fully discrete approximations of parabolic boundary-value problems with nonsmooth boundary data

DOI10.1007/BF01182556zbMath0815.65114MaRDI QIDQ1343723

Gilbert Choudury

Publication date: 31 January 1995

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

zbMATH Keywords

convergenceGalerkin methodsingular integralsanalytic semigroupsparabolic boundary-value problems

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (2)

Analysis of a full discretization for a fractional/normal diffusion equation with rough Dirichlet boundary data ⋮ Conforming virtual element methods for Sobolev equations

Cites Work

• Galerkin finite element methods for parabolic problems
• Semigroups of linear operators and applications to partial differential equations
• Non homogeneous boundary value problems for second order hyperbolic operators
• Fully discrete Galerkin approximations of parabolic boundary-value problems with nonsmooth boundary data
• Unified theory for abstract parabolic boundary problems - a semigroup approach
• Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
• Convergence Estimates for Semidiscrete Approximations of Nonselfadjoint Parabolic Equations
• Galerkin Approximations of Abstract Parabolic Boundary Value Problems With Rough Boundary Data-L p Theory
• Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations
• Analysis of a Robust Finite Element Approximation for a Parabolic Equation with Rough Boundary Data
• Optimal convergence rates for semidiscrete approximations of parabolic problems with nonsmooth boundary data
• Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
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