Boundary Integral Equation Methods and Numerical Solutions Thin Plates on an Elastic Foundation /

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 a...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Constanda, Christian (Συγγραφέας), Doty, Dale (Συγγραφέας), Hamill, William (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
Έκδοση:1st ed. 2016.
Σειρά:Developments in Mathematics, 35
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Constanda, Christian.  |e author. 
245 1 0 |a Boundary Integral Equation Methods and Numerical Solutions  |h [electronic resource] :  |b Thin Plates on an Elastic Foundation /  |c by Christian Constanda, Dale Doty, William Hamill. 
250 |a 1st ed. 2016. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2016. 
300 |a XII, 232 p. 251 illus., 196 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Developments in Mathematics,  |x 1389-2177 ;  |v 35 
505 0 |a Preface -- 1. The Mathematical Model -- 2. The Layer Potentials -- 3. Existence of Solutions -- 4. Software Development -- 5. Computational Examples -- References -- Index. 
520 |a 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. . 
650 0 |a Mathematics. 
650 0 |a Functions of complex variables. 
650 0 |a Integral equations. 
650 0 |a Partial differential equations. 
650 1 4 |a Mathematics. 
650 2 4 |a Integral Equations. 
650 2 4 |a Partial Differential Equations. 
650 2 4 |a Functions of a Complex Variable. 
700 1 |a Doty, Dale.  |e author. 
700 1 |a Hamill, William.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319263076 
830 0 |a Developments in Mathematics,  |x 1389-2177 ;  |v 35 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-26309-0  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)