LEADER 05195nam 22007095 450 001 9910300133603321 005 20220322172512.0 010 $a3-319-92001-4 024 7 $a10.1007/978-3-319-92001-6 035 $a(CKB)4100000005323083 035 $a(DE-He213)978-3-319-92001-6 035 $a(MiAaPQ)EBC5479049 035 $a(PPN)229502830 035 $a(EXLCZ)994100000005323083 100 $a20180728d2018 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAdvanced Boundary Element Methods$b[electronic resource] $eTreatment of Boundary Value, Transmission and Contact Problems /$fby Joachim Gwinner, Ernst Peter Stephan 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XVIII, 652 p. 69 illus., 18 illus. in color.) 225 1 $aSpringer Series in Computational Mathematics,$x0179-3632 ;$v52 311 $a3-319-92000-6 327 $a1 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. 330 $aThis book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems. It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods ? efficient computational tools that have become extremely popular in applications. Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research. The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students. 410 0$aSpringer Series in Computational Mathematics,$x0179-3632 ;$v52 606 $aIntegral equations 606 $aNumerical analysis 606 $aPartial differential equations 606 $aCalculus of variations 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aMathematical physics 606 $aIntegral Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12090 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 615 0$aIntegral equations. 615 0$aNumerical analysis. 615 0$aPartial differential equations. 615 0$aCalculus of variations. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aMathematical physics. 615 14$aIntegral Equations. 615 24$aNumerical Analysis. 615 24$aPartial Differential Equations. 615 24$aCalculus of Variations and Optimal Control; Optimization. 615 24$aMathematical and Computational Engineering. 615 24$aTheoretical, Mathematical and Computational Physics. 676 $a515.45 700 $aGwinner$b Joachim$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767710 702 $aStephan$b Ernst Peter$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910300133603321 996 $aAdvanced Boundary Element Methods$92235887 997 $aUNINA