The Neumann Problem for Nonlinear Second Order Singular Perturbation Problems.

Abstract

Singularly perturbed second order elliptic partial differential equations with Neumann boundary conditions arise in many areas of application. These problems rarely have smooth limit solutions. In this paper, the author characterize the limit solution for a wide class of such problems. They also give an abstract rate of convergence theorem and apply the abstract theorem to certain finite difference approximations. Keywords: Viscosity solution; and Viscosity inequalities.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1986
Accession Number
ADA167456

Entities

People

  • Benoit Perthame
  • Richard Sanders

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Computational Fluid Dynamics
  • Computational Science
  • Contracts
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Inequalities
  • Mathematics
  • North Carolina
  • Partial Differential Equations
  • Two Dimensional
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

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