Maximum-norm-stability and error-estimates in Galerkin methods for parabolic equations in one space variable
From MaRDI portal
Publication:1052072
DOI10.1007/BF01418330zbMath0515.65082OpenAlexW1968519362MaRDI QIDQ1052072
Publication date: 1983
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/132854
Initial-boundary value problems for second-order parabolic equations (35K20) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Error estimates for semidiscrete Galerkin type approximations to semilinear evolution equations with nonsmooth initial data, On the Galerkin finite element approximations to multi-dimensional differential and integro-differential parabolic equations, On the convergence of finite-difference schemes for parabolic equations with variable coefficients, Numerical and dynamical behaviors of nonlinear traveling wave solutions of the Kudryashov-Sinelshchikov equation, Maximal $L^p$ analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra, Maximum-norm stability and maximal \(L^p\) regularity of FEMs for parabolic equations with Lipschitz continuous coefficients, Numerical solution of Boussinesq systems of the Bona-Smith family, Resolvent Estimates for Elliptic Finite Element Operators in One Dimension, Maximum-norm estimates for resolvents of elliptic finite element operators, Error estimates for the standard Galerkin-finite element method for the shallow water equations, Strong and Weak Convergence Rates of a Spatial Approximation for Stochastic Partial Differential Equation with One-sided Lipschitz Coefficient, Maximum-norm resolvent estimates for elliptic finite element operators on nonquasiuniform triangulations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis of finite element methods for second order boundary value problems using mesh dependent norms
- Spline approximation by quasiinterpolants
- Zur L∞-Konvergenz finiter Elemente bei parabolischen Differentialgleichungen
- $L^\infty $-Convergence of Linear Finite Element Approximation to Nonlinear Parabolic Problems
- Finite Element Methods of High-Order Accuracy for Singular Two-Point Boundary Value Problems with Nonsmooth Solutions
- Optimal L ∞ Error Estimates for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems
- $L_\infty $-convergence of finite element Galerkin approximations for parabolic problems
- SCALES OF BANACH SPACES
- On Finite Element Matrices
- $L_\infty $ Estimates of Optimal Orders for Galerkin Methods for One-Dimensional Second Order Parabolic and Hyperbolic Equations