On solvability of linear systems generated by the complex variable boundary element method

Within the complex variable boundary element method, an approximate solution is determined by a Cauchy-type integral whose density is a piecewise linear function. Such an integral can be expressed by a linear combination of some functions that can be chosen in many ways. The choice influences proper...

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Bibliographic Details
Published inJournal of computational and applied mathematics Vol. 259; pp. 216 - 225
Main Authors Drobek, J., Jokl, L.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.03.2014
Subjects
Approximate solution
Cauchy-type integral
Complex variable boundary element method
Dirichlet problem
Linear system solvability
Piecewise linear function
30E10
Piecewise linear function
30E20
Cauchy-type integral
Complex variable boundary element method
65E05
Dirichlet problem
65M22
Approximate solution
Linear system solvability
30E25
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Summary:Within the complex variable boundary element method, an approximate solution is determined by a Cauchy-type integral whose density is a piecewise linear function. Such an integral can be expressed by a linear combination of some functions that can be chosen in many ways. The choice influences properties of a linear system that arises by discretization of some boundary value problem. One choice is presented that allows to deduce some results about the system solvability. It is demonstrated on the Dirichlet problem.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2013.08.009