04311nam 22006975 450 991025406910332120240424231716.03-319-26309-910.1007/978-3-319-26309-0(CKB)3710000000616281(EBL)4453016(OCoLC)945095086(SSID)ssj0001653340(PQKBManifestationID)16433556(PQKBTitleCode)TC0001653340(PQKBWorkID)14982166(PQKB)10398127(DE-He213)978-3-319-26309-0(MiAaPQ)EBC4453016(PPN)192772163(EXLCZ)99371000000061628120160316d2016 u| 0engur|n|---|||||txtccrBoundary Integral Equation Methods and Numerical Solutions[electronic resource] Thin Plates on an Elastic Foundation /by Christian Constanda, Dale Doty, William Hamill1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (242 p.)Developments in Mathematics,1389-2177 ;35Description based upon print version of record.3-319-26307-2 Includes bibliographical references and index.Preface -- 1. The Mathematical Model -- 2. The Layer Potentials -- 3. Existence of Solutions -- 4. Software Development -- 5. Computational Examples -- References -- Index.This book presents and explains a general, efficient, and elegant method for solving the Dirichlet, Neumann, and Robin boundary value problems for the extensional deformation of a thin plate on an elastic foundation. The solutions of these problems are obtained both analytically—by means of direct and indirect boundary integral equation methods (BIEMs)—and numerically, through the application of a boundary element technique. The text discusses the methodology for constructing a BIEM, deriving all the attending mathematical properties with full rigor. The model investigated in the book can serve as a template for the study of any linear elliptic two-dimensional problem with constant coefficients. The representation of the solution in terms of single-layer and double-layer potentials is pivotal in the development of a BIEM, which, in turn, forms the basis for the second part of the book, where approximate solutions are computed with a high degree of accuracy. The book is intended for graduate students and researchers in the fields of boundary integral equation methods, computational mechanics and, more generally, scientists working in the areas of applied mathematics and engineering. Given its detailed presentation of the material, the book can also be used as a text in a specialized graduate course on the applications of the boundary element method to the numerical computation of solutions in a wide variety of problems. .Developments in Mathematics,1389-2177 ;35Integral equationsPartial differential equationsFunctions of complex variablesIntegral Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12090Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Functions of a Complex Variablehttps://scigraph.springernature.com/ontologies/product-market-codes/M12074Integral equations.Partial differential equations.Functions of complex variables.Integral Equations.Partial Differential Equations.Functions of a Complex Variable.510Constanda Christianauthttp://id.loc.gov/vocabulary/relators/aut57207Doty Daleauthttp://id.loc.gov/vocabulary/relators/autHamill William(Mathematician)authttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254069103321Boundary Integral Equation Methods and Numerical Solutions1983096UNINA