Finite Element Methods of Singular Two-Point Boundary Value Problems.

Abstract

Until quite recently, few effective numerical solution techniques were known for solving two-point boundary value problems for the equation -d/dx(p(x)du/dx) + qu = f, 0 < x < 1, p(0) = 0. This dissertation analyzes several new finite element methods for approximating the solution of this problem, and presents new analysis for some known methods.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1977
Accession Number
ADA047726

Entities

People

  • Robert Samuel Scheiber

Organizations

  • Yale University

Tags

Communities of Interest

  • C4I
  • Counter IED

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Computational Complexity
  • Computations
  • Convergence
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Functional Analysis
  • Gaussian Quadrature
  • Mathematics
  • Numerical Analysis
  • Partial Differential Equations
  • Polynomials
  • Theorems
  • Theses
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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