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

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)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1994
Accession Number
ADA290280

Entities

People

  • Ellen T. Paik
  • Frank Ihlenburg
  • Ivo M. Babuska
  • Stefan A. Sauter

Organizations

  • University of Maryland

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Accuracy
  • Boundaries
  • Boundary Value Problems
  • Classification
  • Coefficients
  • Computations
  • Difference Equations
  • Differential Equations
  • Discrete Fourier Transforms
  • Equations
  • Error Analysis
  • Errors
  • Finite Element Analysis
  • Galerkin Method
  • Helmholtz Equations
  • Security
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)