Approximations of the Abstract Problem

Weimin Han; B. Daya Reddy

doi:10.1007/978-1-4614-5940-8_11

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Book chapter

Approximations of the Abstract Problem

Weimin Han and B. Daya Reddy

Plasticity, pp.285-317

Interdisciplinary Applied Mathematics, Springer New York

10/26/2012

DOI: 10.1007/978-1-4614-5940-8_11

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Abstract

As a prelude to the error analysis of various numerical schemes for solving the primal variational problem, we will first give a convergence analysis and derive error estimates for numerical solutions of the abstract problem, introduced in Section 6.4, which includes the primal variational problem as a special case. In the next chapter, we will apply the results presented here to perform an error analysis for various numerical approximation schemes for solving the primal problem. For convenience, let us recall the abstract problem.

Abstract Problem

Discrete Approximation

Discrete Scheme

Discrete Solution

Standard Assumption

Details

Title: Subtitle: Approximations of the Abstract Problem
Creators: Weimin Han - University of Iowa
B. Daya Reddy - University of Cape Town
Resource Type: Book chapter
Publication Details: Plasticity, pp.285-317
Publisher: Springer New York; New York, NY
Series: Interdisciplinary Applied Mathematics
DOI: 10.1007/978-1-4614-5940-8_11
eISSN: 2196-9973
ISSN: 0939-6047
Language: English
Date published: 10/26/2012
Academic Unit: Mathematics
Record Identifier: 9984241059202771

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