Automatic goal-oriented hp-adaptivity without error estimates

被引：0
|
作者：
Solín, P [1 ]
Demkowicz, L [1 ]
机构：
[1] Rice Univ, CAAM, Houston, TX 77251 USA
来源：
NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS, PROCEEDINGS | 2004年
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose and test a fully automatic, goal-oriented hp-adaptive strategy for elliptic problems. The method combines two approaches: the standard goal-oriented adaptivity based on a simultaneous solution of the primal and dual problem, and a recently proposed automatic hp-adaptive strategy based on minimizing the projection-based interpolation error of a reference solution.
引用
收藏
页码：775 / 785
页数：11
相关论文
共 50 条
  • [21] Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs
    Bespalov, Alex
    Praetorius, Dirk
    Rocchi, Leonardo
    Ruggeri, Michele
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 345 : 951 - 982
  • [22] Goal-oriented error estimation and h-adaptivity for Maxwell's equations
    Ingelström, P
    Bondeson, A
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (22-24) : 2597 - 2616
  • [23] AN ABSTRACT ANALYSIS OF OPTIMAL GOAL-ORIENTED ADAPTIVITY
    Feischl, Michael
    Praetorius, Dirk
    Van der Zee, Kristoffer G.
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2016, 54 (03) : 1423 - 1448
  • [24] Forward-in-time goal-oriented adaptivity
    Munoz-Matute, Judit
    Pardo, David
    Calo, Victor M.
    Alberdi, Elisabete
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2019, 119 (06) : 490 - 505
  • [25] Goal-Oriented Adaptivity for Voltage Breakdown Prediction
    Bettini, Paolo
    De Lorenzi, Antonio
    Marconato, Nicolo
    Pilan, Nicola
    Specogna, Ruben
    IEEE TRANSACTIONS ON MAGNETICS, 2018, 54 (03)
  • [26] Explicit-in-time goal-oriented adaptivity
    Munoz-Matute, Judit
    Calo, Victor M.
    Pardo, David
    Alberdi, Elisabete
    van der Zee, Kristoffer G.
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 347 : 176 - 200
  • [27] Instance-Optimal Goal-Oriented Adaptivity
    Innerberger, Michael
    Praetorius, Dirk
    COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2021, 21 (01) : 109 - 126
  • [28] Multi-level hp-adaptivity and explicit error estimation
    D’Angella D.
    Zander N.
    Kollmannsberger S.
    Frischmann F.
    Rank E.
    Schröder A.
    Reali A.
    Advanced Modeling and Simulation in Engineering Sciences, 3 (1)
  • [29] Goal-oriented error estimation and mesh adaptivity in 3d elastoplasticity problems
    S. Sh. Ghorashi
    T. Rabczuk
    International Journal of Fracture, 2017, 203 : 3 - 19
  • [30] GOAL-ORIENTED ERROR ESTIMATION AND MESH ADAPTIVITY IN THREE-DIMENTIONAL ELASTICITY PROBLEMS
    Ghorashi, S. Sh.
    Amani, J.
    Bagherzadeh, A. S.
    Rabczuk, T.
    11TH WORLD CONGRESS ON COMPUTATIONAL MECHANICS; 5TH EUROPEAN CONFERENCE ON COMPUTATIONAL MECHANICS; 6TH EUROPEAN CONFERENCE ON COMPUTATIONAL FLUID DYNAMICS, VOLS II - IV, 2014, : 734 - 745
12345