On Density and Approximation Properties of Special Solutions of the Helmohltz Equation
Identifieur interne : 002D52 ( Main/Exploration ); précédent : 002D51; suivant : 002D53On Density and Approximation Properties of Special Solutions of the Helmohltz Equation
Auteurs : Dominik Still [Allemagne]Source :
- ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik [ 0044-2267 ] ; 1992.
Abstract
We consider eigenvalue problems for the Laplace operator on a region G. Especially if G is simply‐shaped, defect‐minimization methods with trial functions φ satisfying the Helmholtz equation Δφ + λφ = 0 may be suitable for the numerical solution of the problem. Such functions φ are given for example by the classical method of separation of variables. This paper is concerned with density and approximation properties of these special solutions of the Helmholtz equation with respect to the supremum‐norm.
Url:
DOI: 10.1002/zamm.19920720711
Affiliations:
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