Accession Number : ADA290289

Title :   Finite Element Solution to the Helmholtz Equation with High Wave Number. Part 2. The h-p Version of the FEM.

Descriptive Note : Final rept.,

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

Personal Author(s) : Ihlenburg, Frank ; Babuska, Ivo M.

PDF Url : ADA290289

Report Date : JUN 1994

Pagination or Media Count : 63

Abstract : In this paper, which is part 2 in a series of two, the investigation of the Galerkin finite element solution to the Helmholtz equation is continued. While part 1 contained results on the h-version with piecewise linear approximation, the present part deals with approximation spaces of order p greater than or equal 1. The method is assumed to be uniform both w.r. to h and p. The results are presented on a one-dimensional model problem with Dirichlet/Robin boundary conditions. In particular there are proven stability estimates, both w.r. to data of higher regularity and data that is bounded in lower norms. (AN)

Descriptors :   *FINITE ELEMENT ANALYSIS, *APPROXIMATION(MATHEMATICS), MATHEMATICAL MODELS, STABILITY, PROBLEM SOLVING, ESTIMATES, FINITE DIFFERENCE THEORY, SOLUTIONS(GENERAL), ERROR ANALYSIS, BOUNDARY VALUE PROBLEMS, DIFFERENTIAL EQUATIONS, NUMERICAL METHODS AND PROCEDURES, GREENS FUNCTIONS, ASYMPTOTIC NORMALITY.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE