L∞-boundedness of the finite element galerkin operator for parabolic problems

DOI10.1080/01630568208816121zbMath0533.65071OpenAlexW1972577443MaRDI QIDQ3316510

Joachim A. Nitsche, Mary Fanett Wheeler

Publication date: 1982

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568208816121

zbMATH Keywords

Galerkin methoduniform error boundcubic elementsfinite elements in weighted norms

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

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Cites Work

• Interpolation theory over curved elements, with applications to finite element methods
• Maximum norm stability and error estimates in parabolic finite element equations
• Zur L∞-Konvergenz finiter Elemente bei parabolischen Differentialgleichungen
• $L^\infty $-Convergence of Linear Finite Element Approximation to Nonlinear Parabolic Problems
• Elliptic Partial Differential Equations of Second Order
• Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations
• $L_\infty $ Estimates of Optimal Orders for Galerkin Methods for One-Dimensional Second Order Parabolic and Hyperbolic Equations