A Fully Automatic hp-Adaptivity

被引：127

作者：

Demkowicz, L. ^{[1
]}

Rachowicz, W. ^{[1
]}

Devloo, Ph. ^{[1
]}

机构：

[1] Univ Texas Austin, Texas Inst Computat & Appl Math, Austin, TX 78712 USA

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2002年 / 17卷 / 1-4期

关键词：

hp finite elements; hp-adaptivity;

D O I：

10.1023/A:1015192312705

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present an algorithm, and a 2D implementation for a fully automatic hp-adaptive strategy for elliptic problems. Given a mesh, the next, optimally refined mesh, is determined by maximizing the rate of decrease of the hp-interpolation error for a reference solution. Numerical results confirm optimal, exponential convergence rates predicted by the theory of hp methods.

引用

页码：117 / 142

页数：26

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