Time Domain Coupling of the Boundary and Finite Element Methods for Elastodynamics

Abstract

This study investigates the time domain coupling of the boundary and finite element methods for elastodynamics. The study is motivated by the need for a 'silent boundary' in nonlinear problems with infinite domains. Of the boundary element methods (BEMs) considered, formulations based on the Stokes solution appear to be the best suited. The theoretical and numerical bases for the indirect and direct BEMs using the Stokes solution are presented. The integral equation statements of the boundary-initial value problem included a convolution of the time variable and thus appear to be computationally intense. A coupling algorithm which treats the BEM region as a nonlinear boundary condition to the finite element region is presented. The potential of the coupled approach might be realized by exploiting special properties of Stoke's solution and designing the algorithm to use the advances in computer hardware (e.g. parallel processing).

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1989
Accession Number
ADA213243

Entities

People

  • Jason Cox

Organizations

  • Naval Facilities Engineering Service Center

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Energy and Power Technologies
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundary Element Methods
  • Civil Engineering
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Engineering
  • Equations
  • Finite Element Analysis
  • Integral Equations
  • Mathematical Analysis
  • Mechanics
  • Parallel Computing
  • Parallel Processing
  • Partial Differential Equations
  • Three Dimensional
  • Time Domain
  • Transient Response Analysis

Fields of Study

  • Mathematics

Readers

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