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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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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Abstract 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.
AbstractList 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.
Author Drobek, J.
Jokl, L.
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Cites_doi 10.1016/0955-7997(96)00002-1
10.1002/num.1014
10.1016/j.enganabound.2006.08.002
10.1016/j.enganabound.2006.01.016
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Keywords 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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Snippet Within the complex variable boundary element method, an approximate solution is determined by a Cauchy-type integral whose density is a piecewise linear...
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StartPage 216
SubjectTerms Approximate solution
Cauchy-type integral
Complex variable boundary element method
Dirichlet problem
Linear system solvability
Piecewise linear function
Title On solvability of linear systems generated by the complex variable boundary element method
URI https://dx.doi.org/10.1016/j.cam.2013.08.009
Volume 259
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