Convergence of Mixed Finite Element Approximations of a Class of Linear Boundary-Value Problems.

Abstract

Convergence and general properties of mixed finite element models of a general class of boundary-value problems of the type Au + ku + f = 0, u belongs to R, and B(u - g) = 0 on boundary (R sup 1), B*(Tu - s) = 0 on boundary (R sup 2) are considered here where u = u(x) is a function defined on a bounded region R of (E sup n), boundary R is the smooth boundary of R, x is a point in R, A is a linear factorable operator, k is a positive constant, and B and B* are operators describing mixed boundary conditions on boundary R. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1972
Accession Number
AD0755372

Entities

People

  • J. Tinsley Oden
  • Junuthula N. Reddy

Organizations

  • University of Alabama in Huntsville

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Convergence
  • Differential Equations
  • Equations

Fields of Study

  • Mathematics

Readers

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