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: Finite-element approximation of coupled surface and grain boundary motion with applications to thermal grooving and sintering (2010)
  2. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies (2010)
  3. Bause, Markus: Stabilized finite element methods with shock-capturing for nonlinear convection-diffusion-reaction models (2010)
  4. Bonito, Andrea; Nochetto, Ricardo H.; Pauletti, M. Sebastian: Parametric FEM for geometric biomembranes (2010)
  5. Dedner, Andreas; Klöfkorn, Robert; Nolte, Martin; Ohlberger, Mario: A generic interface for parallel and adaptive discretization schemes: Abstraction principles and the DUNE-FEM module (2010)
  6. Demlow, Alan: Convergence of an adaptive finite element method for controlling local energy errors (2010)
  7. Demlow, Alan; Makridakis, Charalambos: Sharply local pointwise a posteriori error estimates for parabolic problems (2010)
  8. Dörfel, Michael R.; Jüttler, Bert; Simeon, Bernd: Adaptive isogeometric analysis by local (h)-refinement with T-splines (2010)
  9. Dziuk, G.; Elliott, C. M.: An Eulerian approach to transport and diffusion on evolving implicit surfaces (2010)
  10. Dziuk, Gerhard: Theory and numerics of partial differential equations (2010)
  11. Elliott, Charles M.; Stinner, Björn: Modeling and computation of two phase geometric biomembranes using surface finite elements (2010)
  12. Morin, P.; Nochetto, R. H.; Pauletti, M. S.; Verani, M.: Adaptive SQP method for shape optimization (2010)
  13. Nochetto, Ricardo H.; von Petersdorff, Tobias; Zhang, Chen-Song: A posteriori error analysis for a class of integral equations and variational inequalities (2010)
  14. Nochetto, Ricardo H.; Walker, Shawn W.: A hybrid variational front tracking-level set mesh generator for problems exhibiting large deformations and topological changes (2010)
  15. Turek, S.; Hron, J.; Razzaq, M.; Wobker, H.; Schäfer, M.: Numerical benchmarking of fluid-structure interaction: a comparison of different discretization and solution approaches (2010)
  16. Verfürth, R.: A posteriori error analysis of space-time finite element discretizations of the time-dependent Stokes equations (2010)
  17. Xu, Yun; Chen, Jun; Chen, Dong Quan; Sun, Jin Shan: Multiscale simulation of microcrack based on a new adaptive finite element method (2010)
  18. Aguilera, Néstor E.; Morin, Pedro: On convex functions and the finite element method (2009)
  19. Baňas, Ľubomír; Nürnberg, Robert: A multigrid method for the Cahn-Hilliard equation with obstacle potential (2009)
  20. Bermejo, R.; Carpio, J.: A space-time adaptive finite element algorithm based on dual weighted residual methodology for parabolic equations (2009)