05195nam 22007095 450 991030013360332120220322172512.03-319-92001-410.1007/978-3-319-92001-6(CKB)4100000005323083(DE-He213)978-3-319-92001-6(MiAaPQ)EBC5479049(PPN)229502830(EXLCZ)99410000000532308320180728d2018 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierAdvanced Boundary Element Methods[electronic resource] Treatment of Boundary Value, Transmission and Contact Problems /by Joachim Gwinner, Ernst Peter Stephan1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (XVIII, 652 p. 69 illus., 18 illus. in color.)Springer Series in Computational Mathematics,0179-3632 ;523-319-92000-6 1 Introduction -- 2 Some Elements of Potential Theory -- 3 A Fourier Series Approach -- 4 Mixed BVPs, Transmission Problems and Pseudodifferential Operators -- 5 The Signorini Problem and More Nonsmooth BVPs and Their Boundary Integral Formulation -- 6 A Primer to Boundary Element Methods -- 7 Advanced BEM for BVPs in Polygonal/Polyhedral Domains: h- and p-Versions -- 8 Exponential Convergence of hp-BEM -- 9 Mapping Properties of Integral Operators 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, Variational Inequalities -- D Some Implementation for BEM -- References -- Index.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.Springer Series in Computational Mathematics,0179-3632 ;52Integral equationsNumerical analysisPartial differential equationsCalculus of variationsApplied mathematicsEngineering mathematicsMathematical physicsIntegral Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12090Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Calculus of Variations and Optimal Control; Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26016Mathematical and Computational Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T11006Theoretical, Mathematical and Computational Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19005Integral equations.Numerical analysis.Partial differential equations.Calculus of variations.Applied mathematics.Engineering mathematics.Mathematical physics.Integral Equations.Numerical Analysis.Partial Differential Equations.Calculus of Variations and Optimal Control; Optimization.Mathematical and Computational Engineering.Theoretical, Mathematical and Computational Physics.515.45Gwinner Joachimauthttp://id.loc.gov/vocabulary/relators/aut767710Stephan Ernst Peterauthttp://id.loc.gov/vocabulary/relators/autBOOK9910300133603321Advanced Boundary Element Methods2235887UNINA