On the Theory and Error Estimation of the Reduced Basis Method for Multi-Parameter Problems

Abstract

In an earlier paper (ZAMM 63, 1983, 21), J.P.Fink and W.C.Rheinboldt developed a priori local error estimates for the scalar-parameter case of the reduced basis method by considering the method in a differential-geometric setting. Here it is shown that an analogous setting can be used for the analysis of the method applied to problems with a multidimensional parameter vector and that this leads to a corresponding local error theory also in this general case.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1992
Accession Number
ADA245201

Entities

People

  • Werner Rheinboldt

Organizations

  • University of Pittsburgh

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Computational Science
  • Computations
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Errors
  • Finite Element Analysis
  • Linear Systems
  • Mathematics
  • Mechanics
  • Nonlinear Analysis
  • Nonlinear Systems
  • Numerical Analysis
  • Statistics
  • Theorems

Fields of Study

  • Engineering
  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis