Exact a Priori Matching of Mixed Boundary Conditions for Second Order Elliptic Problems,

Abstract

The attached paper addresses the problem of inconsistently specified boundary conditions. In the simplest instance of Dirichlet conditions, this means that the function values do not match at the corners. Herein, we show how to actually construct bivariate functions which exactly match mixed linear boundary conditions, even when they are inconsistently specified. Moreover, software has been developed which numerically performs the necessary operator multiplications and constructs the singular functions needed to accommodate such inconsistent boundary conditions. This software will soon be available for general distribution.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1980
Accession Number
ADA099178

Entities

People

  • Linda C. Thiel
  • William J. Gordon

Organizations

  • Drexel University

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Blending
  • Boolean Algebra
  • Boundaries
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Computer Graphics
  • Consistency
  • Contracts
  • Equations
  • Graphics
  • Identification
  • Interpolation
  • Linear Systems
  • Numerical Analysis

Fields of Study

  • Mathematics

Readers

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