Adaptive Boundary Element Methods A Posteriori Error Estimators, Adaptivity, Convergence, and Implementation

被引：23

作者：

Feischl, Michael ^{[1
]}

Fuehrer, Thomas ^{[1
]}

Heuer, Norbert ^{[2
]}

Karkulik, Michael ^{[2
]}

Praetorius, Dirk ^{[1
]}

机构：

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

[2] Pontificia Univ Catolica Chile, Fac Matemat, Santiago, Chile

来源：

ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING | 2015年 / 22卷 / 03期

基金：

奥地利科学基金会;

关键词：

QUASI-UNIFORM MESHES; HYPERSINGULAR INTEGRAL-EQUATION; ARONSZAJN-SLOBODECKIJ NORM; WEAKLY SINGULAR-OPERATORS; H-P VERSION; L-2; PROJECTION; AVERAGING TECHNIQUES; UNSTRUCTURED GRIDS; EXPONENTIAL CONVERGENCE; DIRICHLET PROBLEM;

D O I：

10.1007/s11831-014-9114-z

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper reviews the state of the art and discusses very recent mathematical developments in the field of adaptive boundary element methods. This includes an overview of available a posteriori error estimates as well as a state-of-the-art formulation of convergence and quasi-optimality of adaptive mesh-refining algorithms.

引用

页码：309 / 389

页数：81

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