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. Deckelnick, Klaus; Styles, Vanessa: Stability and error analysis for a diffuse interface approach to an advection-diffusion equation on a moving surface (2018)
  2. Garcke, Harald; Lam, Kei Fong; Nürnberg, Robert; Sitka, Emanuel: A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis (2018)
  3. Garcke, Harald; Lam, Kei Fong; Styles, Vanessa: Cahn-Hilliard inpainting with the double obstacle potential (2018)
  4. Gräßle, Carmen; Hinze, Michael: POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations (2018)
  5. Hintermüller, Michael; Hinze, Michael; Kahle, Christian; Keil, Tobias: A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn-Hilliard-Navier-Stokes system (2018)
  6. Lorenzi, Tommaso; Venkataraman, Chandrasekhar; Lorz, Alexander; Chaplain, Mark A. J.: The role of spatial variations of abiotic factors in mediating intratumour phenotypic heterogeneity (2018)
  7. Madzvamuse, Anotida; Barreira, Raquel: Domain-growth-induced patterning for reaction-diffusion systems with linear cross-diffusion (2018)
  8. Aland, Sebastian; Hahn, Andreas; Kahle, Christian; Nürnberg, Robert: Comparative simulations of Taylor flow with surfactants based on sharp- and diffuse-interface methods (2017)
  9. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: Finite element approximation for the dynamics of asymmetric fluidic biomembranes (2017)
  10. Elliott, Charles M.; Ranner, Thomas; Venkataraman, Chandrasekhar: Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics (2017)
  11. Gerken, Thies; Lechleiter, Armin: Reconstruction of a time-dependent potential from wave measurements (2017)
  12. Hintermüller, Michael; Hinze, Michael; Kahle, Christian; Keil, Tobias: Fully adaptive and integrated numerical methods for the simulation and control of variable density multiphase flows governed by diffuse interface models (2017)
  13. Mansfield, Elizabeth L.; Pryer, Tristan: Noether-type discrete conserved quantities arising from a finite element approximation of a variational problem (2017)
  14. Nürnberg, Robert; Tucker, Edward J. W.: Stable finite element approximation of a Cahn-Hilliard-Stokes system coupled to an electric field (2017)
  15. Rösch, A.; Siebert, K. G.; Steinig, Simeon: Reliable a posteriori error estimation for state-constrained optimal control (2017)
  16. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: Computational parametric Willmore flow with spontaneous curvature and area difference elasticity effects (2016)
  17. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: A stable numerical method for the dynamics of fluidic membranes (2016)
  18. Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa: Double obstacle phase field approach to an inverse problem for a discontinuous diffusion coefficient (2016)
  19. Demlow, Alan: Quasi-optimality of adaptive finite element methods for controlling local energy errors (2016)
  20. Diening, Lars; Kreuzer, Christian; Stevenson, Rob: Instance optimality of the adaptive maximum strategy (2016)

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