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. Garcke, Harald; Lam, Kei Fong; Sitka, Emanuel; Styles, Vanessa: A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport (2016)
  2. Kreuzer, Christian; Süli, Endre: Adaptive finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology (2016)
  3. Nürnberg, Robert; Sacconi, Andrea: A fitted finite element method for the numerical approximation of void electro-stress migration (2016)
  4. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: A stable parametric finite element discretization of two-phase Navier-Stokes flow (2015)
  5. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: Stable numerical approximation of two-phase flow with a Boussinesq-Scriven surface fluid (2015)
  6. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: On the stable numerical approximation of two-phase flow with insoluble surfactant (2015)
  7. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: Stable finite element approximations of two-phase flow with soluble surfactant (2015)
  8. Chen, Zhiming; Wu, Zedong; Xiao, Yuanming: An adaptive immersed finite element method with arbitrary Lagrangian-Eulerian scheme for parabolic equations in time variable domains (2015)
  9. Elliott, Charles M.; Ranner, Thomas: Evolving surface finite element method for the Cahn-Hilliard equation (2015)
  10. Elliott, Charles M.; Venkataraman, Chandrasekhar: Error analysis for an ALE evolving surface finite element method (2015)
  11. Katsaounis, Theodoros; Kyza, Irene: A posteriori error control and adaptivity for Crank-Nicolson finite element approximations for the linear Schrödinger equation (2015)
  12. Kröker, Ilja; Nowak, Wolfgang; Rohde, Christian: A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems (2015)
  13. Lakkis, Omar; Makridakis, Charalambos; Pryer, Tristan: A comparison of duality and energy a posteriori estimates for (\mathrmL_\infty(0,T;\mathrmL_2(\varOmega))) in parabolic problems (2015)
  14. Nürnberg, Robert; Tucker, Edward J. W.: Finite element approximation of a phase field model arising in nanostructure patterning (2015)
  15. 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)
  16. Gaspoz, Fernando D.; Morin, Pedro: Approximation classes for adaptive higher order finite element approximation (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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