Boundary Integral Equations in Elasticity Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Boundary Integral Equations in Elasticity Theory write by A.M. Linkov. This book was released on 2013-11-11. Boundary Integral Equations in Elasticity Theory available in PDF, EPUB and Kindle. by the author to the English edition The book aims to present a powerful new tool of computational mechanics, complex variable boundary integral equations (CV-BIE). The book is conceived as a continuation of the classical monograph by N. I. Muskhelishvili into the computer era. Two years have passed since the Russian edition of the present book. We have seen growing interest in numerical simulation of media with internal structure, and have evidence of the potential of the new methods. The evidence was especially clear in problems relating to multiple grains, blocks, cracks, inclusions and voids. This prompted me, when preparing the English edition, to place more emphasis on such topics. The other change was inspired by Professor Graham Gladwell. It was he who urged me to abridge the chain of formulae and to increase the number of examples. Now the reader will find more examples showing the potential and advantages of the analysis. The first chapter of the book contains a simple exposition of the theory of real variable potentials, including the hypersingular potential and the hypersingular equations. This makes up for the absence of such exposition in current textbooks, and reveals important links between the real variable BIE and the complex variable counterparts. The chapter may also help readers who are learning or lecturing on the boundary element method.
Strongly Elliptic Systems and Boundary Integral Equations
Strongly Elliptic Systems and Boundary Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Strongly Elliptic Systems and Boundary Integral Equations write by William Charles Hector McLean. This book was released on 2000-01-28. Strongly Elliptic Systems and Boundary Integral Equations available in PDF, EPUB and Kindle. This 2000 book provided the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains.
The Integral Equations of the Theory of Elasticity
The Integral Equations of the Theory of Elasticity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Integral Equations of the Theory of Elasticity write by N. F. Morozov. This book was released on 2013-11-21. The Integral Equations of the Theory of Elasticity available in PDF, EPUB and Kindle.
Singular Integral Equations
Singular Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Singular Integral Equations write by N. I. Muskhelishvili. This book was released on 2013-02-19. Singular Integral Equations available in PDF, EPUB and Kindle. DIVHigh-level treatment of one-dimensional singular integral equations covers Holder Condition, Hilbert and Riemann-Hilbert problems, Dirichlet problem, more. 1953 edition. /div
Boundary Integral Equations
Boundary Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Boundary Integral Equations write by George C. Hsiao. This book was released on 2021-03-26. Boundary Integral Equations available in PDF, EPUB and Kindle. This is the second edition of the book which has two additional new chapters on Maxwell’s equations as well as a section on properties of solution spaces of Maxwell’s equations and their trace spaces. These two new chapters, which summarize the most up-to-date results in the literature for the Maxwell’s equations, are sufficient enough to serve as a self-contained introductory book on the modern mathematical theory of boundary integral equations in electromagnetics. The book now contains 12 chapters and is divided into two parts. The first six chapters present modern mathematical theory of boundary integral equations that arise in fundamental problems in continuum mechanics and electromagnetics based on the approach of variational formulations of the equations. The second six chapters present an introduction to basic classical theory of the pseudo-differential operators. The aforementioned corresponding boundary integral operators can now be recast as pseudo-differential operators. These serve as concrete examples that illustrate the basic ideas of how one may apply the theory of pseudo-differential operators and their calculus to obtain additional properties for the corresponding boundary integral operators. These two different approaches are complementary to each other. Both serve as the mathematical foundation of the boundary element methods, which have become extremely popular and efficient computational tools for boundary problems in applications. This book contains a wide spectrum of boundary integral equations arising in fundamental problems in continuum mechanics and electromagnetics. The book is a major scholarly contribution to the modern approaches of boundary integral equations, and should be accessible and useful to a large community of advanced graduate students and researchers in mathematics, physics, and engineering.
