High Order Difference Methods for Quasilinear Elliptic Boundary Value Problems on General Regions.

Abstract

Stability and convergence for a difference method for quasilinear elliptic boundary value problems are proved. Asymptotic expansions of the discretization error, basic for Richardson extrapolation, are established. The general theory of discrete Newton methods and iterated defect corrections via neighboring problems and Pereyra's deferred corrections are used to derive different high order methods. Some special cases and computational problems are pointed out and numerical tests are included. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1980
Accession Number
ADA083824

Entities

People

  • Klaus Boehmer

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundary Value Problems
  • Chemical Reactions
  • Coefficients
  • Computations
  • Difference Equations
  • Differential Equations
  • Equations
  • Extrapolation
  • Mathematics
  • Nonlinear Systems
  • Numerical Analysis
  • Poisson Equation
  • Polynomials
  • Theorems
  • United States
  • Universities

Fields of Study

  • Mathematics

Readers

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