Accession Number : ADA290280

Title :   A Generalized Finite Element Method for Solving the Helmholtz Equation in Two Dimensions with Minimal Pollution.

Descriptive Note : Final rept.

Corporate Author : MARYLAND UNIV COLLEGE PARK INST FOR PHYSICAL SCIENCE AND TECHNOLOGY

Personal Author(s) : Babuska, Ivo M. ; Ihlenburg, Frank ; Paik, Ellen T. ; Sauter, Stefan A.

PDF Url : ADA290280

Report Date : SEP 1994

Pagination or Media Count : 50

Abstract : When using the Galerkin FEM for solving the Helmholtz equation in two dimensions, the error of the corresponding solution differs substantially from the error of the best approximation, and this effect increases with higher wave number k. In this paper we will design a Generalized Finite Element Method (GFEM) for the Helmholtz equation such that the pollution effect is minimal. (AN)

Descriptors :   *FINITE ELEMENT ANALYSIS, MATHEMATICAL MODELS, TWO DIMENSIONAL, MATRICES(MATHEMATICS), PROBLEM SOLVING, FINITE DIFFERENCE THEORY, SOLUTIONS(GENERAL), APPROXIMATION(MATHEMATICS), BOUNDARY VALUE PROBLEMS, LEAST SQUARES METHOD, DIFFERENTIAL EQUATIONS, LAPLACE TRANSFORMATION, ERROR ANALYSIS.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE