Galerkin-Type Approximations Which are Discontinuous in Time for Parabolic Equations in a Variable Domain.

Abstract

General linear parabolic equations are considered in a given time dependent domain and a general class of Galerkin-type approximations is considered which are continuous with respect to the space variables, but which admit discontinuities with respect to time at each time step. Unconditional stability is proved and a general error estimate is established. These results are applied to certain finite element methods based on space-time finite elements.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1977
Accession Number
ADA046433

Entities

People

  • Pierre Jamet

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Flow
  • Fluid Flow
  • Ions
  • Mathematics
  • Numerical Analysis
  • Numerical Methods And Procedures
  • Partial Differential Equations
  • Real Numbers
  • Theorems
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Statistical inference.

Technology Areas

  • Space