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