Mixed Finite Element Methods for Time Dependent Problems: Application to Control

Abstract

The main goal of this paper is to discuss mixed variational formulations for time dependent problems such as initial and boundary value problems for the heat and wave equations in a bounded domain Omega of R-superscript-N(N >or= 1). Then we shall use these formulations to derive mixed finite element approximations of the heat and wave equations. Finally an application to an exact boundary controllability problem for the wave equation will be presented together with some numerical results. The techniques and application briefly considered here will be discussed with more details in a forthcoming paper.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1989
Accession Number
ADA455261

Entities

People

  • M. F. Wheeler
  • R. Glowinski
  • T. Dupont
  • W. Kinton

Organizations

  • Rice University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Formulas (Mathematics)
  • Information Operations
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Universities
  • Wave Equations

Fields of Study

  • Mathematics

Readers

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