A Fully Automatic hp-Adaptivity

被引：0

作者：

L. Demkowicz

W. Rachowicz

Ph. Devloo

机构：

[1] The University of Texas at Austin,Texas Institute for Computational and Applied Mathematics

来源：

Journal of Scientific Computing | 2002年 / 17卷

关键词：

finite elements; -adaptivity;

D O I：

暂无

中图分类号：

学科分类号：

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：25

共 50 条

[1] A Fully Automatic hp-Adaptivity
Demkowicz, L.
Rachowicz, W.
Devloo, Ph.
JOURNAL OF SCIENTIFIC COMPUTING, 2002, 17 (1-4) : 117 - 142
[2] Fully automatic hp-adaptivity in three dimensions
Rachowicz, W.
Pardo, D.
Demkowicz, L.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (37-40) : 4816 - 4842
[3] Fully automatic hp-adaptivity for Maxwell's equations
Demkowicz, L
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2005, 194 (2-5) : 605 - 624
[4] A fully automatic hp-adaptivity for elliptic PDEs in three dimensions
Kurtz, J.
Demkowicz, L.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 196 (37-40) : 3534 - 3545
[5] TREE APPROXIMATION FOR hp-ADAPTIVITY
Binev, Peter
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 56 (06) : 3346 - 3357
[6] Automatic goal-oriented hp-adaptivity without error estimates
Solín, P
Demkowicz, L
NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS, PROCEEDINGS, 2004, : 775 - 785
[7] Verification of goal-oriented HP-adaptivity
Paszynski, M
Demkowicz, L
Pardo, D
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 50 (8-9) : 1395 - 1404
[8] Goal-oriented hp-adaptivity for elliptic problems
Solín, O
Demkowicz, L
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2004, 193 (6-8) : 449 - 468
[9] Solution of coupled poroelastic/acoustic/elastic wave propagation problems using automatic hp-adaptivity
Matuszyk, Pawel J.
Demkowicz, Leszek F.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2014, 281 : 54 - 80
[10] Improving the performance of Perfectly Matched Layers by means of hp-adaptivity
Michler, C.
Demkowicz, L.
Kurtz, J.
Pardo, D.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2007, 23 (04) : 832 - 858

← 1 2 3 4 5 →