Modified Fundamental Solutions

Gavin R. Thomson () and Christian Constanda ()
Additional contact information
Gavin R. Thomson: A.C.C.A.
Christian Constanda: The University of Tulsa, Department of Mathematical and Computer Sciences

Chapter Chapter 8 in Stationary Oscillations of Elastic Plates, 2011, pp 103-152 from Springer

Abstract: Abstract As we have seen in Chapters 6 and 7, the integral equations of the second kind that arise in the classical direct and indirect boundary integral formulations may have multiple solutions for certain values of the oscillation frequency ω. In Chapter 7 it was shown that, for the exterior problems, a unique solution does exist if we operate with a special pair of integral equations. The question is, can the matrix of fundamental solutions D ω (x,y) be modified so that we may obtain a single secondkind equation for each of the exterior problems, which has a unique solution for all values of ω?

Keywords: Integral Equation; Fundamental Solution; Helmholtz Equation; Reciprocity Relation; Unique Solvability (search for similar items in EconPapers)
Date: 2011
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8241-5_8

Ordering information: This item can be ordered from
http://www.springer.com/9780817682415

DOI: 10.1007/978-0-8176-8241-5_8

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().