LOCAL INVERSE ESTIMATES FOR NON-LOCAL BOUNDARY INTEGRAL OPERATORS

被引：14

作者：

Aurada, M. ^{[1
]}

Feischl, M. ^{[2
]}

Fuhrer, T. ^{[3
]}

Karkulik, M. ^{[4
]}

Melenk, J. M. ^{[1
]}

Praetorius, D. ^{[1
]}

机构：

[1] Vienna Univ Technol, Inst Anal & Sci Comp, Wiedner Haupstr 8-10-A, A-1040 Vienna, Austria

[2] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

[3] Pontificia Univ Catolica Chile, Fac Matemat, Ave Vicuna Mackenna 4860, Santiago, Chile

[4] Univ Tecn Federico Santa Maria, Dept Matemat, Ave Espana 1680, Valparaiso, Chile

来源：

MATHEMATICS OF COMPUTATION | 2017年 / 86卷 / 308期

基金：

奥地利科学基金会;

关键词：

Boundary element method; inverse estimates; adaptivity; efficiency; hp-finite element spaces; POSTERIORI ERROR ESTIMATE; OPTIMAL CONVERGENCE-RATES; FINITE-ELEMENT-METHOD; NONSMOOTH FUNCTIONS; EQUATION; APPROXIMATION; INTERPOLATION; INEQUALITIES; ADAPTIVITY; OPTIMALITY;

D O I：

10.1090/mcom/3175

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove local inverse-type estimates for the four non-local boundary integral operators associated with the Laplace operator on a bounded Lipschitz domain Omega in R-d for d >= 2 with piecewise smooth boundary. For piecewise polynomial ansatz spaces and is an element of {2, 3}, the inverse estimates are explicit in both the local mesh width and the approximation order. An application to efficiency-type estimates in a posteriori error estimation in boundary element methods is given.

引用

页码：2651 / 2686

页数：36

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