Looking-Free Mixed hp Finite Element Methods for Linear and Geometrically Nonlinear Elasticity

Abstract

We consider the mixed formulation of the linear elasticity problem. We identify stable families of mixed finite element spaces for both curvilinear quadrilateral and triangular elements. We give conditions under which these elements converge at asymptotically optimal (or near-optimal) rates, both in terms of the mesh width h and polynomial degree p. We validate these findings computationally. Finally, we identify a mixed formulation for the geometrically nonlinear elasticity problem and experimentally investigate the stability of our mixed finite element spaces for this problem.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 09, 1997
Accession Number
ADA326255

Entities

People

  • Lawrence K. Chilton

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Applied Mathematics
  • Boundaries
  • Computational Fluid Dynamics
  • Computations
  • Elastic Properties
  • Engineering
  • Equations
  • Finite Element Analysis
  • Materials
  • Poisson Ratio
  • Stability Conditions
  • Standards
  • Three Dimensional
  • Two Dimensional
  • United States

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computational Fluid Dynamics (CFD)
  • Linear Algebra

Technology Areas

  • Space