Convergence of an hp-Adaptive Finite Element Strategy in Two and Three Space-Dimensions

被引：0
|
作者：
Buerg, Markus [1 ]
Doerfler, Willy [1 ]
机构：
[1] KIT, Inst Appl & Numer Math 2, D-76128 Karlsruhe, Germany
来源：
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III | 2010年 / 1281卷
关键词：
adaptive mesh refinement; a posteriori error estimates; convergence; hp version of the finite element method;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We show convergence of an automatic hp-adaptive refinement strategy for the finite element method on the elliptic boundary value problem. The strategy is a generalization of a refinement strategy proposed for one-dimensional situations to problems in two and three space-dimensions.
引用
收藏
页码：1835 / 1838
页数：4
相关论文
共 50 条
  • [21] Three dimensional, nonisothermal analysis of RTM and VARTM processes using HP-adaptive finite element method
    Mayavaram, RS
    Baumann, CE
    Reddy, MP
    Stewart, D
    ANTEC '99: PLASTICS BRIDGING THE MILLENNIA, CONFERENCE PROCEEDINGS, VOLS I-III: VOL I: PROCESSING; VOL II: MATERIALS; VOL III: SPECIAL AREAS;, 1999, : 2555 - 2559
  • [22] An hp-adaptive finite element model for heat transfer within partitioned enclosures
    Pepper, Darrell W.
    Wang, Xiuling
    INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2008, 18 (7-8) : 1000 - 1014
  • [23] Modeling of Heterogeneous Elastic Materials by the Multiscale hp-adaptive Finite Element Method
    Klimczak, Marek
    Cecot, Witold
    COMPUTER METHODS IN MECHANICS (CMM2017), 2018, 1922
  • [24] Graph transformations for modeling hp-adaptive Finite Element Method with triangular elements
    Paszynska, Anna
    Paszynski, Maciej
    Grabska, Ewa
    COMPUTATIONAL SCIENCE - ICCS 2008, PT 3, 2008, 5103 : 604 - +
  • [25] Hypergraph Grammars in non-stationary hp-adaptive finite element method
    Paszynska, Anna
    Wozniak, Maciej
    Lenharth, Andrew
    Nguyen, Donald
    Pingali, Keshav
    INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE 2016 (ICCS 2016), 2016, 80 : 875 - 886
  • [26] Asymptotic behavior of hp-HGS (hp-adaptive finite element method coupled with the hierarchic genetic strategy) by solving inverse problems
    Schaefer, Robert
    Barabasz, Barbara
    COMPUTATIONAL SCIENCE - ICCS 2008, PT 3, 2008, 5103 : 682 - +
  • [27] Three-dimensional direct current resistivity forward modeling based on the hp-adaptive finite element method
    Zhao, Ning
    Shen, Yahang
    Qin, Ce
    Wang, Xuben
    COMPUTERS & GEOSCIENCES, 2020, 144 (144)
  • [28] Domain Decomposition and hp-Adaptive Finite Elements
    Bank, Randolph E.
    Nguyen, Hieu
    DOMAIN DECOMPOSITION METHODS IN SCIENCE AND ENGINEERING XIX, 2011, 78 : 3 - 13
  • [29] Fully automatic hp adaptive finite element method for the Stokes problem in two dimensions
    Matuszyk, Pawel
    Paszynski, Maciej
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2008, 197 (51-52) : 4549 - 4558
  • [30] The hp-version of the Streamline Diffusion Finite Element Method in two space dimensions
    Gerdes, K
    Melenk, JM
    Schwab, C
    Schötzau, D
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2001, 11 (02): : 301 - 337
12345