A Posteriori Error Analysis Via Duality Theory: With Applications in Modeling and Numerical Approximations (Google eBook)

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Springer Science & Business Media, Jul 30, 2006 - Mathematics - 318 pages
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This volume provides a posteriori error analysis for mathematical idealizations in modeling boundary value problems, especially those arising in mechanical applications, and for numerical approximations of numerous nonlinear variational problems. The author avoids giving the results in the most general, abstract form so that it is easier for the reader to understand more clearly the essential ideas involved. Many examples are included to show the usefulness of the derived error estimates.
  

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Contents

ELEMENTS OF CONVEX ANALYSIS DUALITY THEORY
47
A POSTERIORI ERROR ANALYSIS
67
Subcase 2A
75
A POSTERIORI ERROR ANALYSIS FOR SOlE NUMERICAL
193
ERROR ANALYSIS FOR VARIATIONAL
235
partition after 5 iterations
266
REFERENCES 287
286
Index
301
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