A Theory of Mixed Finite Element Approximations of Non-Self-Adjoint Boundary Value Problems,

Abstract

This paper deals with the development of a theory of mixed finite element approximations of non-self-adjoint boundary value problems of the form STu = f and applications of that theory to problems in solid mechanics. Some of the results explain phenomena that have been observed for some time in actual applications in mixed models, including instabilities in certain cases, and the strong dependence of the accuracy of the polynomial used in approximating the highest derivatives. A theory of multiple decompositions is also given.

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1974
Accession Number
ADA004154

Entities

People

  • J. T. Oden

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Boundaries
  • Boundary Value Problems
  • Decomposition
  • Instability
  • Mathematics
  • Mechanics
  • Polynomials

Fields of Study

  • Mathematics

Readers

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