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

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)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1994
Accession Number
ADA290289

Entities

People

  • Frank Ihlenburg
  • Ivo M. Babuska

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Computational Science
  • Computations
  • Differential Equations
  • Equations
  • Error Analysis
  • Finite Element Analysis
  • Helmholtz Equations
  • Inequalities
  • Integrals
  • Mathematics
  • Notation
  • Numerical Analysis
  • Physical Sciences
  • Polynomials
  • Theorems
  • Universities

Fields of Study

  • Mathematics

Readers

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

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  • Space