Mixed-Hybrid Finite Element Approximations of Second-Order Elliptic Boundary-Value Problems.

Abstract

Mixed-hybrid finite element approximations are described for second-order elliptic boundary-value problems in which independent approximations are used for the solution and its gradient on the interior of an element and the trace of the gradients on the boundary of the element. This leads to nonconforming finite elements. The independent boundary approximations are introduced by means of Lagrange multipliers. A-priori error estimates are derived. several other finite element models are also obtained as special cases. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1975
Accession Number
ADA021109

Entities

People

  • I. Babuška
  • J. K. Lee
  • J. T. Oden

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Mathematical Analysis

Fields of Study

  • Mathematics

Readers

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