Maximum-norm estimates for resolvents of elliptic finite element operators
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Publication:4417150
DOI10.1090/S0025-5718-02-01488-6zbMath1028.65113OpenAlexW2049473070MaRDI QIDQ4417150
Nikolai Yu. Bakaev, Lars B. Wahlbin, Vidar Thomée
Publication date: 28 July 2003
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-02-01488-6
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solutions to equations with linear operators (65J10)
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Cites Work
- Unnamed Item
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- Maximum-norm-stability and error-estimates in Galerkin methods for parabolic equations in one space variable
- Semigroups of linear operators and applications to partial differential equations
- Eine Aussage zur \(L_{\infty}\)-Stabilität und zur genauen Konvergenzordnung der \(H^ 1_ 0\)-Projektionen
- The stability in L\(^q\) of the L\(^2\)-projection into finite element function spaces
- Stability and analyticity in maximum-norm for simplical Lagrange finite element semidiscretizations of parabolic equations with Dirichlet boundary conditions
- Resolvent Estimates in l_p for Discrete Laplacians on Irregular Meshes and Maximum-norm Stability of Parabolic Finite Difference Schemes
- Maximum norm stability and error estimates in parabolic finite element equations
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- L∞-boundedness of the finite element galerkin operator for parabolic problems
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- On the Quasi-Optimality in $L_\infty$ of the $\overset{\circ}{H}^1$-Projection into Finite Element Spaces*
- Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
- Interior Estimates for Ritz-Galerkin Methods
- Optimal L ∞ Estimates for the Finite Element Method on Irregular Meshes
- Stability, analyticity, and almost best approximation in maximum norm for parabolic finite element equations
- Resolvent Estimates for Elliptic Finite Element Operators in One Dimension
- Pointwise error estimates and asymptotic error expansion inequalities for the finite element method on irregular grids: Part I. Global estimates
- Maximum Norm Analysis of Completely Discrete Finite Element Methods for Parabolic Problems
- On Finite Element Matrices
- Generation of Analytic Semigroups by Strongly Elliptic Operators
- Maximum norm resolvent estimates for elliptic finite element operators
