Discrete Time Galerkin Methods for a Parabolic Boundary Value Problem.

Abstract

Single step discrete time Galerkin methods for the mixed initial-boundary value problem for the heat equation are studied. Two general theoreis leading to error estimates are developed. Among the examples analyzed in the application of these theories are methods in which the related quadratic form is required to be definite only the subspace of approximating functions and two classes containing methods of arbitrary given order of accuracy, one requiring satisfaction of certain boundary conditions by the elements of the subspace, the other making no such requirements. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1972
Accession Number
AD0748767

Entities

People

  • James H. Bramble
  • Vidar Thomee

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Errors
  • Galerkin Method
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.