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Asymptotic expansion techniques for singularly perturbed boundary integral equations

Schmidt, Kersten ; Hiptmair, Ralf :
Asymptotic expansion techniques for singularly perturbed boundary integral equations.
In: Numer. Math., 137 (2) S. 397-415.
[Artikel] , (2017)

Kurzbeschreibung (Abstract)

For the case of singularly perturbed elliptic transmission problems we demonstrate the use of asymptotic expansion techniques both for establishing regularity results for the solution and for deriving a priori error estimates for boundary element Galerkin discretisation. The dependence of the corresponding bounds on the singular perturbation parameter is studied in detail. This dependence clearly manifests itself in numerical experiments.

Typ des Eintrags: Artikel
Erschienen: 2017
Autor(en): Schmidt, Kersten ; Hiptmair, Ralf
Titel: Asymptotic expansion techniques for singularly perturbed boundary integral equations
Sprache: Englisch
Kurzbeschreibung (Abstract):

For the case of singularly perturbed elliptic transmission problems we demonstrate the use of asymptotic expansion techniques both for establishing regularity results for the solution and for deriving a priori error estimates for boundary element Galerkin discretisation. The dependence of the corresponding bounds on the singular perturbation parameter is studied in detail. This dependence clearly manifests itself in numerical experiments.

Titel der Zeitschrift, Zeitung oder Schriftenreihe: Numer. Math.
Band: 137
(Heft-)Nummer: 2
Fachbereich(e)/-gebiet(e): 04 Fachbereich Mathematik
04 Fachbereich Mathematik > Numerik und wissenschaftliches Rechnen
Hinterlegungsdatum: 19 Nov 2018 21:02
DOI: 10.1007/s00211-017-0881-y
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