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The Boundary-Domain Integral Method for Elliptic Systems

The Boundary-Domain Integral Method for Elliptic Systems
Catalogue Information
Field name Details
Dewey Class 518
Title The Boundary-Domain Integral Method for Elliptic Systems ([EBook]) / by Andreas Pomp.
Author Pomp, Andreas. , 1952-
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : Springer , 1998.
Physical Details XVI, 172 pages : online resource.
Series Lecture Notes in Mathematics 0075-8434 ; ; 1683
ISBN 9783540696971
Summary Note This monograph gives a description of all algorithmic steps and a mathematical foundation for a special numerical method, namely the boundary-domain integral method (BDIM). This method is a generalization of the well-known boundary element method, but it is also applicable to linear elliptic systems with variable coefficients, especially to shell equations. The text should be understandable at the beginning graduate-level. It is addressed to researchers in the fields of numerical analysis and computational mechanics, and will be of interest to everyone looking at serious alternatives to the well-established finite element methods.:
Contents note Pseudohomogeneous distributions -- Levi functions for elliptic systems of partial differential equations -- Systems of integral equations, generated by Levi functions -- The differential equations of the DV model -- Levi functions for the shell equations -- The system of integral equations and its numerical solution -- An example: Katenoid shell under torsion.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/BFb0094576
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