Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
Author:
- Garth A. BakerGBGarth A. Baker
- 1 September 1976
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 13 (4) , 564-576
Abstract
The standard Galerkin method for a mixed initial-boundary value problem for a linear second order hyperbolic equation is analysed. Optimal estimates for the error in $L^\infty (L^2 )$ are derived using $L^2 $-projections of the initial data as starting values, and minimal smoothness requirements on the solution.
Keywords
This publication has 4 references indexed in Scilit:
- $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic EquationsSIAM Journal on Numerical Analysis, 1973
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential EquationsSIAM Journal on Numerical Analysis, 1973
- Rayleigh‐Ritz‐Galerkin methods for dirichlet's problem using subspaces without boundary conditionsCommunications on Pure and Applied Mathematics, 1970
- Verfahren von Ritz und Spline-Interpolation bei Sturm-Liouville-RandwertproblemenNumerische Mathematik, 1969