Asymptotic expansion techniques for singularly perturbed boundary integral equations

被引：3

作者：

Schmidt, Kersten ^{[1
,2
]}

Hiptmair, Ralf ^{[3
]}

机构：

[1] TU Berlin, Inst Math, Res Ctr MATHEON, D-10623 Berlin, Germany

[2] BTU Cottbus Senftenberg, Inst Math, D-03046 Cottbus, Germany

[3] Swiss Fed Inst Technol, Seminar Appl Math, CH-8092 Zurich, Switzerland

来源：

NUMERISCHE MATHEMATIK | 2017年 / 137卷 / 02期

关键词：

STRONGLY ABSORBING OBSTACLES; THIN CONDUCTING SHEETS; TRANSMISSION CONDITIONS; SCATTERING;

D O I：

10.1007/s00211-017-0881-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：397 / 415

页数：19

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