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. Zhang, Jian; Du, Qiang: Numerical studies of discrete approximations to the Allen-Cahn equation in the sharp interface limit (2009)
  2. Zhang, Linbo: A parallel algorithm for adaptive local refinement of tetrahedral meshes using bisection (2009)
  3. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: A variational formulation of anisotropic geometric evolution equations in higher dimensions (2008)
  4. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: Parametric approximation of willmore flow and related geometric evolution equations (2008)
  5. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: On the parametric finite element approximation of evolving hypersurfaces in (\mathbbR^3) (2008)
  6. Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Kornhuber, R.; Ohlberger, M.; Sander, O.: A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE (2008)
  7. Burman, E.; Linke, A.: Stabilized finite element schemes for incompressible flow using Scott-Vogelius elements (2008)
  8. Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G.: Quasi-optimal convergence rate for an adaptive finite element method (2008)
  9. Cascón, J. M.; Montenegro, R.; Escobar, J. M.; Rodríguez, E.; Montero, G.: A new meccano technique for adaptive 3-D triangulations (2008)
  10. Doğan, Günay; Morin, Pedro; Nochetto, Ricardo H.: A variational shape optimization approach for image segmentation with a Mumford-Shah functional (2008)
  11. Du, Qiang; Zhang, Jian: Adaptive finite element method for a phase field bending elasticity model of vesicle membrane deformations (2008)
  12. Dziuk, G.; Elliott, C. M.: Eulerian finite element method for parabolic PDEs on implicit surfaces (2008)
  13. Eilks, C.; Elliott, C. M.: Numerical simulation of dealloying by surface dissolution via the evolving surface finite element method (2008)
  14. Kashima, Yohei: On the double critical-state model for type-II superconductivity in 3D (2008)
  15. Köster, Daniel; Kriessl, Oliver; Siebert, Kunibert G.: Design of finite element tools for coupled surface and volume meshes (2008)
  16. Liu, Qingkai; Mo, Zeyao; Zhang, Linbo: A parallel adaptive finite-element package based on ALBERTA (2008)
  17. Morin, Pedro; Siebert, Kunibert G.; Veeser, Andreas: A basic convergence result for conforming adaptive finite elements (2008)
  18. Phipps, Eric T.; Bartlett, Roscoe A.; Gay, David M.; Hoekstra, Robert J.: Large-scale transient sensitivity analysis of a radiation-damaged bipolar junction transistor via automatic differentiation (2008)
  19. Stevenson, Rob: The completion of locally refined simplicial partitions created by bisection (2008)
  20. Baran, Á.; Stoyan, G.: Gauss-Legendre elements: a stable, higher order non-conforming finite element family (2007)

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