Accession Number : ADA290296

Title :   Dispersion Analysis and Error Estimation of Galerkin Finite Element Methods for the Numerical Computation of Waves

Descriptive Note : Final technical note,

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

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

PDF Url : ADA290296

Report Date : 26 JUL 1994

Pagination or Media Count : 51

Abstract : The authors' recent result on the phase difference for one-dimensional problems in numerically evaluated and discussed in the context of other work directed to this topic. It is shown that previous error estimates in integral norm are of nondispersive character but hold for medium or high wavenumber on extremely refined mesh only. On the other hand, recently proven error estimates on normalized mesh contain a pollution term. With certain assumptions on the exact solution, this term is of the order of the phase difference. Thus a link is established between the results of dispersion analysis and the results of numerical analysis. (AN)

Descriptors :   *FINITE ELEMENT ANALYSIS, MATHEMATICAL MODELS, COMPUTATIONS, DISPERSING, ONE DIMENSIONAL, PROBLEM SOLVING, MESH, ESTIMATES, FINITE DIFFERENCE THEORY, SOLUTIONS(GENERAL), APPROXIMATION(MATHEMATICS), ERROR ANALYSIS, POLYNOMIALS, NUMERICAL METHODS AND PROCEDURES, WAVE EQUATIONS.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE