Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems
Roland Glowinski
ISBN: 9781611973778
Vydavatelství: Cambridge University Press
Rok vydání: 2015
Vazba: Paperback
Počet stran: 445
Dostupnost: Skladem
Původní cena: 1 889 Kč
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1 700 Kč(t.j. po slevě 10%)
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The computational methods that have proven essential for the solution of a large variety of nonlinear elliptic problems are discussed in detail in this book, with particular focus on their application to problems in continuum mechanics and physics. Unlike many books on this topic, the author presents examples of the power and versatility of operator-splitting methods, as well as providing readers with a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly non-smooth) problems from science and engineering. The book also shows how nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems. Recommended for advanced graduate students and researchers in applied and computational mathematics, as well as research engineers, mathematical physicists, and systems engineers.