Mixed Boundary Value Problems of Potential Theory and Their Applications in Engineering (MATHEMATICS AND ITS APPLICATIONS (KLUWER )) - Hardcover

V.I. Fabrikant

Hardcover

ISBN 10: 0792311574 ISBN 13: 9780792311577

Publisher: Kluwer Academic Publishers, 1991

Synopsis

The theory of potential has numerous applications in various branches of engineering science: solid and fluid mechanics, acoustics, heat transfer, electrostatics, wave diffraction, fracture, etc. The analytical solution of mixed boundary value problems requires a knowledge of various integral transforms and/or special functions series expansions and a numerical solution is extremely difficult due to singularities. A new approach, developed by the author, makes it possible to solve various problems in an elementary and straightforward way which does not require the use of integral transforms or special function expansions. This Work represents the second part of a two-part project. The first part (Applications of Potential Theory in Mechanics, Kluwer, 1989) concentrated on results in linear elasticity. This second volume is devoted to new results in electromagnetics, acoustics and diffusion. The majority of the problems solved have not been considered before. The contents include a systematic description of the new method, new fundamental solutions to mixed boundary value problems in polar, spherical and toroidal coordinates, approximate analytical solutions for general domains, with applications in various branches of engineering, and new numerical methods for solving one- and two-dimensional singular integral equations, with a listing of FORTRAN software provided. This volume will be of particular interest to Engineers and Applied Mathematicians whose work involves electromagnetic theory, acoustics and heat transfer problems in engineering applications. It will also be of value to researchers with an interest in mixed boundary value problems.

Edition details

• Publisher: Kluwer Academic Publishers
• Publication date: 1991
• ISBN 10: 0792311574
• ISBN 13: 9780792311577
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 464