Regularity of the Solutions for Elliptic Problems on Nonsmooth Domains in R3. Part 2: Regularity in Neighborhoods of Edges.

Abstract

This paper is the second in a series of three devoted to the analysis of regularity of solutions of elliptic problems on nonsmooth domains in R3. The present paper concentrates on the regularity of solution of Poisson equation in neighborhoods of edges of a polyhedral domain in the frame of the weighted Sobolev spaces and countably normed spaces. These results can be generalized to elliptic problems arising form mechanics and engineering; for instance, the elasticity problem on polyhedral domains.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1995
Accession Number
ADA301745

Entities

People

  • Benqi Guo
  • Ivo Babuška

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mathematics
  • Asymptotic Series
  • Boundary Element Methods
  • Cartesian Coordinates
  • Differential Equations
  • Engineering
  • Equations
  • Error Analysis
  • Formulas (Mathematics)
  • Inequalities
  • Military Research
  • Notation
  • Partial Differential Equations
  • Physical Sciences
  • Poisson Equation
  • Universities
  • Variational Equations

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  • Mathematics

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  • Structural Dynamics.

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