A POSTERIORI ERROR ESTIMATION FOR ADAPTIVE IGA BOUNDARY ELEMENT METHODS

被引：0

作者：

Feischl, Michael ^{[1
]}

Gantner, Gregor ^{[1
]}

Praetorius, Dirk ^{[1
]}

机构：

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

来源：

11TH WORLD CONGRESS ON COMPUTATIONAL MECHANICS; 5TH EUROPEAN CONFERENCE ON COMPUTATIONAL MECHANICS; 6TH EUROPEAN CONFERENCE ON COMPUTATIONAL FLUID DYNAMICS, VOLS II - IV | 2014年

关键词：

Isogeometric analysis; boundary element method; a posteriori error estimation; adaptive mesh-refinement; NURBS; ARONSZAJN-SLOBODECKIJ NORM; LOCALIZATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A posteriori error estimation and adaptive mesh-refinement are well-established and important tools for standard boundary element methods (BEM) for polygonal boundaries and piecewise polynomial ansatz functions (see e.g. the seminal work [1] for the derivation of the weighted-residual error estimator and [5] for convergence even with optimal rates). In contrast, the mathematically reliable a posteriori error analysis for isogeometric BEM (IGABEM) has not been considered, yet. In our talk, we aim to shed some light on this gap and to transfer known results on reliable a posteriori error estimators [1, 3] from standard BEM to IGABEM.

引用

页码：2421 / 2432

页数：12

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