An H(mo) Interpolation Result

Abstract

This paper presents a proof of an interpolation results related to the approximation theory for higher order finite element or spectral methods when C superscript 1 (or higher) regularity is convenient for the finite dimensional subspaces. This can be a natural choice for example for Stokes problem, the biharmonic problem or higher order-plate- and shell models. We show that one gets the same intermediate spaces whether one 1) interpolates between two Sobolev spaces defined on a domain with nonsmooth boundary first and then enforces the homogeneous boundary conditions afterwards or 2) interpolates between two Sobolev spaces where the homogeneous boundary conditions are enforced throughout the interpolation process. Keywords: Interpolation; Peetre; Boundary conditions; Nonsmooth domains; Small angle elliptic regularity.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Nov 14, 1989
Accession Number
ADA219888

Entities

People

  • S. Jensen

Organizations

  • University of Maryland, Baltimore

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Contracts
  • Equations
  • Finite Element Analysis
  • Identification
  • Identities
  • Inclusions
  • Interpolation
  • Meromorphic Functions
  • Military Research
  • Polynomials
  • Universities

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Operations Research

Technology Areas

  • Space