Accession Number : ADA277396


Title :   Finite Element Solution to the Helmholtz Equation with High Wave Number. Part 1. The h-Version of the FEM


Descriptive Note : Technical note


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


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


Full Text : http://www.dtic.mil/get-tr-doc/pdf?AD=ADA277396


Report Date : NOV 1993


Pagination or Media Count : 45


Abstract : The h-version of the finite element method with piecewise linear approximation has been applied to solve a one-dimensional model problem for the Helmholtz equation. The main practical purpose of the investigation is to lay theoretical ground for safe rules of the thumb how to choose the mesh width of the FE-model depending on the wavenumber. In this context we present new results for stability and error estimation of the FE-solution. Following the analysis, numerical results are discussed. In a second paper we will study the h-p-method for Helmholtz problems.


Descriptors :   *FINITE ELEMENT ANALYSIS , *BOUNDARY VALUE PROBLEMS , STABILITY , ONE DIMENSIONAL , GREENS FUNCTIONS , HILBERT SPACE , WAVE EQUATIONS , SPECIAL FUNCTIONS(MATHEMATICS) , ERRORS , SOLUTIONS(GENERAL) , APPROXIMATION(MATHEMATICS)


Subject Categories : NUMERICAL MATHEMATICS
      THEORETICAL MATHEMATICS


Distribution Statement : APPROVED FOR PUBLIC RELEASE