Analysis of the Performance of Mixed Finite Element Methods.

Abstract

The investigator was able to prove an optimal error estimate for approximating functions in sobolev spaces using a space of pieceurse polynomial functions (based on the p-version of the finite element method). Optimal approximation results were also obtained for the h-p version of the finite element method using quasiuniform meshes. Papers accepted for publication during this period of effort included such titles as The optimal convergence rate of the p-version of the finite element methods, Some optimal approximation results with applications to the h-p-, and h-p versions of the finite element method, and The h-p version of the finite element method with quasi-uniform meshes. Keywords: Stability; Polynomials; Lagrange multipliers; Laplace equations.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1986
Accession Number
ADA187214

Entities

People

  • Manil Suri

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Boundaries
  • Classification
  • Convergence
  • Diffusion
  • Equations
  • Finite Element Analysis
  • Functional Analysis
  • Mathematical Analysis
  • Mathematics
  • New Jersey
  • Numerical Analysis
  • Polynomials
  • Security
  • Steady State
  • Two Dimensional
  • Universities

Fields of Study

  • Engineering

Readers

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

Technology Areas

  • Space