L∞-boundedness of the finite element galerkin operator for parabolic problems
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Publication:3316510
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
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
