ALBERTA

ALBERTA is an Adaptive multiLevel finite element toolbox using Bisectioning refinement and Error control by Residual Techniques for scientific Applications. ALBERTA, a sequential adaptive finite-element toolbox, is being used widely in the fields of scientific and engineering computation, especially in the numerical simulation of electromagnetics. But the nature of sequentiality has become the bottle-neck while solving large scale problems. So we develop a parallel adaptive finite-element package based on ALBERTA, using ParMETIS and PETSc. The package is able to deal with any problem that ALBERT solved. Furthermore, it is suitable for distributed memory parallel computers including PC clusters


References in zbMATH (referenced in 179 articles , 1 standard article )

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  1. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: A phase field model for the electromigration of intergranular voids (2007)
  2. Bermejo, R.; Carpio, J.: An adaptive finite element semi-Lagrangian implicit-explicit Runge-Kutta-Chebyshev method for convection dominated reaction-diffusion problems (2007)
  3. Cascon, J. Manuel; Nochetto, Ricardo H.; Siebert, Kunibert G.: Design and convergence of AFEM in (H)(div) (2007)
  4. Chen, Zhiming; Wang, Long; Zheng, Weiying: An adaptive multilevel method for time-harmonic Maxwell equations with singularities (2007)
  5. Demlow, Alan: Local a posteriori estimates for pointwise gradient errors in finite elemet methods for elliptic problems (2007)
  6. Demlow, Alan; Dziuk, Gerhard: An adaptive finite element method for the Laplace-Beltrami operator on implicitly defined surfaces (2007)
  7. Doǧan, G.; Morin, P.; Nochetto, R. H.; Verani, M.: Discrete gradient flows for shape optimization and applications (2007)
  8. Elliott, Charles M.; Kashima, Yohei: A finite-element analysis of critical-state models for type-II superconductivity in 3D (2007)
  9. Köster, Daniel: Numerical simulation of acoustic streaming on surface acoustic wave-driven biochips (2007)
  10. Moom, Kyoung-Sook; Nochetto, Ricardo H.; von Petersdorff, Tobias; Zhang, Chen-Song: A posteriori error analysis for parabolic variational inequalities (2007)
  11. Moore, Peter K.: The impact of parameter selection on the performance of an automatic adaptive code for solving reaction-diffusion equations in three dimensions (2007)
  12. Pesch, Lars; Bell, Alexander; Sollie, Henk; Ambati, Vijaya R.; Bokhove, Onno; van der Vegt, Jaap J. W.: hpGEM -- a software framework for discontinuous Galerkin finite element methods. (2007)
  13. Siebert, Kunibert G.; Veeser, Andreas: A unilaterally constrained quadratic minimization with adaptive finite elements (2007)
  14. Berrone, S.; Kozubek, T.: An adaptive WEM algorithm for solving elliptic boundary value problems in fairly general domains (2006)
  15. Cascón, J. M.; Ferragut, L.; Asensio, M. I.: Space-time adaptive algorithm for the mixed parabolic problem (2006)
  16. Fierro, Francesca; Veeser, Andreas: A posteriori error estimators, gradient recovery by averaging, and superconvergence (2006)
  17. Nochetto, Ricardo H.; Schmidt, Alfred; Siebert, Kunibert G.; Veeser, Andreas: Pointwise a posteriori error estimates for monotone semi-linear equations (2006)
  18. Sacchi, Roberta; Veeser, Andreas: Locally efficient and reliable a posteriori error estimators for Dirichlet problems (2006)
  19. Schmidt, Alfred; Siebert, Kunibert G.: Design of adaptive finite element software. The finite element toolbox ALBERTA. With CD-ROM (2005)

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