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On the computational efficiency of isogeometric methods for smooth elliptic problems using direct solvers

  • Published:2014-09-17 Issue:8 Volume:100 Page:620-632
  • ISSN:0029-5981
  • Container-title:International Journal for Numerical Methods in Engineering
  • language:en
  • Short-container-title:Int. J. Numer. Meth. Engng

Author:

Collier N.12,Dalcin L.134,Calo V. M.15

Affiliation:

1. Center for Numerical Porous Media; King Abdullah University of Science and Technology; Saudi Arabia

2. Oak Ridge National Laboratory; Oak Ridge TN USA

3. Consejo Nacional de Investigaciones Científicas y Técnicas; Santa Fe Argentina

4. Universidad Nacional del Litoral; Santa Fe Argentina

5. Applied Mathematics & Computational Science and Earth Science & Engineering; King Abdullah University of Science and Technology; Saudi Arabia

Publisher

Wiley

Subject

Applied Mathematics,General Engineering,Numerical Analysis

Reference31 articles.

1. The cost of continuity: performance of iterative solvers on isogeometric finite elements;Collier;SIAM Journal on Scientific Computing,2013

2. The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers;Collier;Computer Methods in Applied Mechanics and Engineering,2012

3. Isogeometric collocation: cost comparison with galerkin methods and extension to adaptive hierarchical NURBS discretizations;Schillinger;Computer Methods in Applied Mechanics and Engineering,2013

4. Improved error and work estimates for high-order elements;Löhner;International Journal for Numerical Methods in Fluids,2013

5. Efficient nonlinear solvers for nodal high-order finite elements in 3d;Brown;Journal of Scientific Computing,2010

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1. Refined isogeometric analysis for generalized Hermitian eigenproblems;Computer Methods in Applied Mechanics and Engineering;2021-08

2. Isogeometric analysis for a phase-field constrained optimization problem of morphological evolution of vesicles in electrical fields;Computer Methods in Applied Mechanics and Engineering;2021-04

3. Automatic Variationally Stable Analysis for FE Computations: An Introduction;Lecture Notes in Computational Science and Engineering;2020

4. Refined isogeometric analysis for fluid mechanics and electromagnetics;Computer Methods in Applied Mechanics and Engineering;2019-11

5. Dispersion optimized quadratures for isogeometric analysis;Journal of Computational and Applied Mathematics;2019-08
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