Analysis and Finite Element Method for a Fluid-Solid Interaction Problem in One Dimension.

Abstract

In this paper we study a time-harmonic fluid-solid interaction model problem in one dimension. This is a Helmholtz-type system equipped with boundary and transmission conditions. We show the existence of a unique solution to this problem and study its stability and regularity properties. We analyze the convergence of finite element methods with respect to appropriate energy norms. Computational results are also presented.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1995
Accession Number
ADA301640

Entities

People

  • Ch. Makidakis
  • F. Ihlenburg
  • Ivo Babuška

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustic Waves
  • Applied Mathematics
  • Boundaries
  • Convergence
  • Differential Equations
  • Elastic Waves
  • Equations
  • Finite Element Analysis
  • Helmholtz Equations
  • Mathematics
  • Numerical Analysis
  • Partial Differential Equations
  • Physical Sciences
  • Standards
  • Theorems
  • Wave Equations
  • Waves

Fields of Study

  • Mathematics

Readers

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