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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Editorial Reviews
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From the reviews: "The subject of this book is the a posterior error analysis for mathematical idealizations in applied boundary value problems (BVPs) … . A very nice book, well structured and written, coupling mathematical theory and numerical results and tests for applied problems." (Viorel Arnautu, Zentralblatt MATH, Vol. 1081, 2006) "I believe that this book is the first book to present a systematical study in applying the duality theory to deriving a posteriori error estimates for a variety of interesting problems. … The book is very well written. … this nice book is quite easy to follow. I believe that the book will be very useful for researchers and graduate students in applied and computational mathematics and engineering." (Wen Bin Liu, Mathematical Reviews, Issue 2005 k)
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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. Audience This volume is suitable for researchers and graduate students in applied and computational mathematics, and in engineering.
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First Sentence:
Numerical simulation/scientific computation is now playing a more and more important role, and has become one of the three basic tools in science and technology, in addition to experimentation and theory. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
linear problems, residual type estimator, posteriori error analysis, linearized elasticity theory, posteriori error estimates, frictional contact problem, real normed space, effectivity index, elliptic variational inequality, elliptic variational inequalities, duality theory, torsion problem, posteriori error estimators, corner domain, idealized problem, regularized problem, key inequality, adapted mesh, finite element system, posteriori error estimation Key Phrases - Capitalized Phrases (CAPs): (learn more)
Lax-Milgram Lemma New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Numerical simulation/scientific computation is now playing a more and more important role, and has become one of the three basic tools in science and technology, in addition to experimentation and theory. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
linear problems, residual type estimator, posteriori error analysis, linearized elasticity theory, posteriori error estimates, frictional contact problem, real normed space, effectivity index, elliptic variational inequality, elliptic variational inequalities, duality theory, torsion problem, posteriori error estimators, corner domain, idealized problem, regularized problem, key inequality, adapted mesh, finite element system, posteriori error estimation Key Phrases - Capitalized Phrases (CAPs): (learn more)
Lax-Milgram Lemma New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 42
books:
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- Advances in Mechanics and Mathematics: Volume II by David Yang Gao in Front Matter (1), Front Matter (2), and Back Matter
- Convex Analysis (Princeton Landmarks in Mathematics and Physics) by Ralph Tyrell Rockafellar in Back Matter
- Numerical Methods for Nonlinear Variational Problems (Scientific Computation) by Roland Glowinski in Back Matter
- A Course in Functional Analysis by John B. Conway in Back Matter
- Fracture Mechanics (Siam-Ams Proceedings, V. 12.) by N. Y.) Symposium in Applied Mathematics (1978 New York in Back Matter
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