Selection of Finite Element Methods.

Abstract

This paper concerns principles for the selection of variational discretization methods. The effectiveness of a method is analyzed in terms of the key concepts of approximability and stability which are related to the goals of the computation through a selected norm on the error. The importance of robustness is emphasized and its influence on the selection of methods is analyzed. These concepts are elaborated on through a series of illustrative examples and results. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1981
Accession Number
ADA098831

Entities

People

  • D. N. Arnold
  • Ivo Babuška
  • J. Osborn

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Computations
  • Convergence
  • Equations
  • Errors
  • Estimators
  • Finite Element Analysis
  • Modulus Of Elasticity
  • Numbers
  • Polynomials
  • Real Numbers
  • Theorems
  • Universities
  • Variational Methods

Readers

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