1 Introduction.- 2 Some Elements of Potential Theory.- 3 A Fourier Series Approach.- 4 Mixed BVPs, Transmission Problems.- 5 Signorini Problem, More Nonsmooth BVPs.- 6 A Primer to Boundary Element Methods.- 7 BEM in Polygonal/Polyhedral Domains.- 8 Exponential Convergence of hp-BEM.- 9 Mapping Properties on Polygons.- 10 A-BEM.- 11 BEM for Contact Problems.- 12 FEM-BEM Coupling.- 13 Time-Domain BEM.- A Linear Operator Theory.- B Pseudodifferential Operators.- C Convex and Nonsmooth Analysis.- D Some Implementation for BEM.- Bibliograpy.- Index.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Joachim Gwinner is retired professor of mathematics at Bundeswehr University Munich. His research interests span from optimization to numerical and variational analysis with applications in continuum mechanics.
Ernst Peter Stephan is retired professor of mathematics at Leibniz University Hannover. His research covers numerical methods for partial differential equations and boundary integral equations together with their analysis.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Features fundamental chapters on boundary integral equations and their approximations by boundary elements to enable novice readers to become acquainted with a modern field of numerical analysisDiscusses advanced key topics in BEM and pr. N° de réf. du vendeur 448669767
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems. It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods - efficient computational tools that have become extremely popular in applications.Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research.The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students. N° de réf. du vendeur 9783030063467
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems. It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods - efficient computational tools that have become extremely popular in applications.Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research.The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students. 672 pp. Englisch. N° de réf. du vendeur 9783030063467
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