Exploring Automated Adaptivity and Error Control

被引：1

作者：

Rognes, Marie E. ^{[1
]}

Logg, Anders ^{[1
]}

机构：

[1] Simula Res Lab, Ctr Biomed Comp, N-1325 Lysaker, Norway

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III | 2010年 / 1281卷

关键词：

adaptivity; automation; mesh refinement; error control; FEniCS;

D O I：

10.1063/1.3498603

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Goal-oriented adaptive error control provides a multitude of choices with regard to error estimation and discretization refinement strategies. In this note, we investigate the effect of such choices using a flexible framework for automated adaptive goal-oriented error control applied to a specific test case. The efficiency of the adaptive algorithm varies significantly with the choice of parameters. We observe that the optimal parameters match the default parameters provided by the framework.

引用

页码：794 / 797

页数：4

共 50 条

[31] Error Analysis and Model Adaptivity for Flows in Gas Networks
Stolwijk, Jeroen J.
Mehrmann, Volker
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2018, 26 (02): : 231 - 266
[32] A posteriori error estimation and adaptivity in hp virtual elements
da Veiga, L. Beirao
Manzini, G.
Mascotto, L.
NUMERISCHE MATHEMATIK, 2019, 143 (01) : 139 - 175
[33] The background of error estimation and adaptivity in finite element computations
Zienkiewicz, OC
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (4-6) : 207 - 213
[34] A posteriori error estimation and adaptivity for degenerate parabolic problems
Nochetto, RH
Schmidt, A
Verdi, C
MATHEMATICS OF COMPUTATION, 2000, 69 (229) : 1 - 24
[35] A posteriori error estimation and adaptivity in hp virtual elements
L. Beirão da Veiga
G. Manzini
L. Mascotto
Numerische Mathematik, 2019, 143 : 139 - 175
[36] Adaptivity based on error estimation for viscoplastic softening materials
Díez, P
Arroyo, M
Huerta, A
MECHANICS OF COHESIVE-FRICTIONAL MATERIALS, 2000, 5 (02) : 87 - 112
[37] ERROR ESTIMATION AND ADAPTIVITY IN FLOW FORMULATION FOR FORMING PROBLEMS
ZIENKIEWICZ, OC
LIU, YC
HUANG, GC
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1988, 25 (01) : 23 - 42
[38] A posteriori error control and adaptivity of hp-finite elements for mixed and mixed-hybrid methods
Petsche, Jan
Schroeder, Andreas
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 74 (07) : 1661 - 1674
[39] Error analysis and adaptivity in the boundary element and related methods
Mukherjee, S
COMPUTATIONAL MECHANICS, VOLS 1 AND 2, PROCEEDINGS: NEW FRONTIERS FOR THE NEW MILLENNIUM, 2001, : 1025 - 1034
[40] A posteriori error control and adaptivity for Crank-Nicolson finite element approximations for the linear Schrodinger equation
Katsaounis, Theodoros
Kyza, Irene
NUMERISCHE MATHEMATIK, 2015, 129 (01) : 55 - 90

← 1 2 3 4 5 →