Portable efficient solvers for adaptive finite element simulations of elastostatics in two and three dimensions

被引:0
|
作者
Bauer, AC [1 ]
Sanjanwala, S [1 ]
Patra, AK [1 ]
机构
[1] SUNY Buffalo, Amherst, NY 14260 USA
关键词
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Adaptive finite element methods (FEM), generate linear equation systems that require dynamic and irregular patterns of data storage, access and computation, making their parallelization very difficult. Moreover, constantly evolving computer architectures often require new algorithms altogether. We describe here several solvers for solving such systems efficiently in two and three dimensions on multiple parallel architectures.
引用
收藏
页码:223 / 243
页数:21
相关论文
共 50 条
  • [1] Accuracy versus cost for three efficient finite-element solvers
    Villeneuve, D
    Webb, JP
    IEEE TRANSACTIONS ON MAGNETICS, 1996, 32 (03) : 1385 - 1388
  • [2] A generalized approach for efficient finite element modeling of elastodynamic scattering in two and three dimensions
    Velichko, Alexander
    Wilcox, Paul D.
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2010, 128 (03): : 1004 - 1014
  • [3] Efficient finite element simulation of crack propagation using adaptive iterative solvers
    Meyer, A
    Rabold, F
    Scherzer, M
    COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2006, 22 (02): : 93 - 108
  • [4] STOPPING CRITERIA FOR ADAPTIVE FINITE ELEMENT SOLVERS
    Arioli, Mario
    Georgoulis, Emmanuil H.
    Loghin, Daniel
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2013, 35 (03): : A1537 - A1559
  • [5] Efficient vectorised kernels for unstructured high-order finite element fluid solvers on GPU architectures in two dimensions
    Eichstadt, Jan
    Peiro, Joaquim
    Moxey, David
    COMPUTER PHYSICS COMMUNICATIONS, 2023, 284
  • [6] Convergence of an hp-Adaptive Finite Element Strategy in Two and Three Space-Dimensions
    Buerg, Markus
    Doerfler, Willy
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 1835 - 1838
  • [7] Cache efficient data structures and algorithms for adaptive multidimensional multilevel finite element solvers
    Hartmann, Judith
    Krahnke, Andreas
    Zenger, Christoph
    APPLIED NUMERICAL MATHEMATICS, 2008, 58 (04) : 435 - 448
  • [8] Aspects of an adaptive hp-finite element method: Adaptive strategy, conforming approximation and efficient solvers
    Ainsworth, M
    Senior, B
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1997, 150 (1-4) : 65 - 87
  • [9] Efficient solvers for hybridized three-field mixed finite element coupled poromechanics
    Frigo, Matteo
    Castelletto, Nicola
    Ferronato, Massimiliano
    White, Joshua A.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 91 : 36 - 52
  • [10] ON ADAPTIVE MULTILEVEL SUPERPOSITION OF FINITE-ELEMENT MESHES FOR LINEAR ELASTOSTATICS
    FISH, J
    MARKOLEFAS, S
    GUTTAL, R
    NAYAK, P
    APPLIED NUMERICAL MATHEMATICS, 1994, 14 (1-3) : 135 - 164