Interior Maximum Norm Estimates for Finite Element Methods
- 1 April 1977
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 31 (138) , 414-442
- https://doi.org/10.2307/2006424
Abstract
Interior a priori error estimates in the maximum norm are derived from interior Ritz-Galerkin equations which are common to a class of methods used in approximating solutions of second order elliptic boundary value problems. The estimates are valid for a large class of piecewise polynomial subspaces used in practice, which are defined on quasi-uniform meshes.Keywords
This publication has 10 references indexed in Scilit:
- Estimates for spline projectionsRevue française d'automatique, informatique, recherche opérationnelle. Analyse numérique, 1976
- Maximum-Norm Interior Estimates for Ritz-Galerkin MethodsMathematics of Computation, 1975
- A survey of some finite element methods proposed for treating the dirichlet problemAdvances in Mathematics, 1975
- Interior Estimates for Ritz-Galerkin MethodsMathematics of Computation, 1974
- Interior maximum norm estimates for some simple finite element methodsRevue française d'automatique, informatique, recherche opérationnelle. Analyse numérique, 1974
- Rate of Convergence Estimates for Nonselfadjoint Eigenvalue ApproximationsMathematics of Computation, 1973
- Maximum principle and uniform convergence for the finite element methodComputer Methods in Applied Mechanics and Engineering, 1973
- A Mollifier Useful for Approximations in Sobolev Spaces and Some Applications to Approximating Solutions of Differential EquationsMathematics of Computation, 1973
- Approximation in the finite element methodNumerische Mathematik, 1972
- Triangular Elements in the Finite Element MethodMathematics of Computation, 1970