ERROR BOUNDS ON NUMERICAL SOLUTIONS OF DIRICHLET PROBLEMS FOR QUASILINEAR ELLIPTIC EQUATIONS.

Abstract

In this paper, finite difference approximations to Dirichlet problems for quasilinear, uniformly elliptic partial differential equations are studied. Convergence, with decreasing mesh width h, of solutions of finite difference analogues to the solution of the given continuous problem is established by means of bounds on the error in the solutions of the finite difference problems. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1966
Accession Number
AD0642138

Entities

People

  • Thurman Gustav Frank

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Analogs
  • Convergence
  • Differential Equations
  • Equations
  • Mathematics
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

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