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 133 articles , 1 standard article )

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  1. Elliott, Charles M.; Ranner, Thomas; Venkataraman, Chandrasekhar: Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics (2017)
  2. Mansfield, Elizabeth L.; Pryer, Tristan: Noether-type discrete conserved quantities arising from a finite element approximation of a variational problem (2017)
  3. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: Computational parametric Willmore flow with spontaneous curvature and area difference elasticity effects (2016)
  4. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: A stable numerical method for the dynamics of fluidic membranes (2016)
  5. Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa: Double obstacle phase field approach to an inverse problem for a discontinuous diffusion coefficient (2016)
  6. Demlow, Alan: Quasi-optimality of adaptive finite element methods for controlling local energy errors (2016)
  7. Diening, Lars; Kreuzer, Christian; Stevenson, Rob: Instance optimality of the adaptive maximum strategy (2016)
  8. Garcke, Harald; Lam, Kei Fong; Sitka, Emanuel; Styles, Vanessa: A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport (2016)
  9. Kreuzer, Christian; Süli, Endre: Adaptive finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology (2016)
  10. Nürnberg, Robert; Sacconi, Andrea: A fitted finite element method for the numerical approximation of void electro-stress migration (2016)
  11. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: Stable numerical approximation of two-phase flow with a Boussinesq-Scriven surface fluid (2015)
  12. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: Stable finite element approximations of two-phase flow with soluble surfactant (2015)
  13. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: A stable parametric finite element discretization of two-phase Navier-Stokes flow (2015)
  14. Elliott, Charles M.; Ranner, Thomas: Evolving surface finite element method for the Cahn-Hilliard equation (2015)
  15. Katsaounis, Theodoros; Kyza, Irene: A posteriori error control and adaptivity for Crank-Nicolson finite element approximations for the linear Schrödinger equation (2015)
  16. Dahlke, Stephan (ed.); Dahmen, Wolfgang (ed.); Griebel, Michael (ed.); Hackbusch, Wolfgang (ed.); Ritter, Klaus (ed.); Schneider, Reinhold (ed.); Schwab, Christoph (ed.); Yserentant, Harry (ed.): Extraction of quantifiable information from complex systems (2014)
  17. Hu, Xiaozhe; Lee, Young-Ju; Xu, Jinchao; Zhang, Chen-Song: On adaptive Eulerian-Lagrangian method for linear convection-diffusion problems (2014)
  18. Nürnberg, Robert; Sacconi, Andrea: An unfitted finite element method for the numerical approximation of void electromigration (2014)
  19. Abdulle, Assyr; Bai, Yun: Adaptive reduced basis finite element heterogeneous multiscale method (2013)
  20. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: Eliminating spurious velocities with a stable approximation of viscous incompressible two-phase Stokes flow (2013)

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