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 126 articles , 1 standard article )

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  1. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: Computational parametric Willmore flow with spontaneous curvature and area difference elasticity effects (2016)
  2. Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa: Double obstacle phase field approach to an inverse problem for a discontinuous diffusion coefficient (2016)
  3. Demlow, Alan: Quasi-optimality of adaptive finite element methods for controlling local energy errors (2016)
  4. Diening, Lars; Kreuzer, Christian; Stevenson, Rob: Instance optimality of the adaptive maximum strategy (2016)
  5. Garcke, Harald; Lam, Kei Fong; Sitka, Emanuel; Styles, Vanessa: A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport (2016)
  6. Nürnberg, Robert; Sacconi, Andrea: A fitted finite element method for the numerical approximation of void electro-stress migration (2016)
  7. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: Stable numerical approximation of two-phase flow with a Boussinesq-Scriven surface fluid (2015)
  8. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: A stable parametric finite element discretization of two-phase Navier-Stokes flow (2015)
  9. Elliott, Charles M.; Ranner, Thomas: Evolving surface finite element method for the Cahn-Hilliard equation (2015)
  10. Katsaounis, Theodoros; Kyza, Irene: A posteriori error control and adaptivity for Crank-Nicolson finite element approximations for the linear Schrödinger equation (2015)
  11. 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)
  12. Hu, Xiaozhe; Lee, Young-Ju; Xu, Jinchao; Zhang, Chen-Song: On adaptive Eulerian-Lagrangian method for linear convection-diffusion problems (2014)
  13. Nürnberg, Robert; Sacconi, Andrea: An unfitted finite element method for the numerical approximation of void electromigration (2014)
  14. Abdulle, Assyr; Bai, Yun: Adaptive reduced basis finite element heterogeneous multiscale method (2013)
  15. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: Eliminating spurious velocities with a stable approximation of viscous incompressible two-phase Stokes flow (2013)
  16. Creusé, Emmanuel; Nicaise, Serge: A posteriori error estimator based on gradient recovery by averaging for convection-diffusion-reaction problems approximated by discontinuous Galerkin methods (2013)
  17. Pyo, Jae-Hong: Error estimates for the second order semi-discrete stabilized gauge-Uzawa method for the Navier-Stokes equations (2013)
  18. Venkataraman, C.; Lakkis, O.; Madzvamuse, A.: Adaptive finite elements for semilinear reaction-diffusion systems on growing domains (2013)
  19. Belenki, Liudmila; Diening, Lars; Kreuzer, Christian: Optimality of an adaptive finite element method for the $p$-Laplacian equation (2012)
  20. Blank, Luise; Sarbu, Lavinia; Stoll, Martin: Preconditioning for Allen-Cahn variational inequalities with non-local constraints (2012)

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