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 165 articles , 1 standard article )

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  1. Dörfler, Willy; Nürnberg, Robert: Discrete gradient flows for General curvature energies (2019)
  2. Garcke, Harald; Hinze, Michael; Kahle, Christian: Optimal control of time-discrete two-phase flow driven by a diffuse-interface model (2019)
  3. Hutridurga, H.; Venkataraman, C.: Heterogeneity and strong competition in ecology (2019)
  4. Kahle, Christian; Lam, Kei Fong; Latz, Jonas; Ullmann, Elisabeth: Bayesian parameter identification in Cahn-Hilliard models for biological growth (2019)
  5. Kimura, Masato; Notsu, Hirofumi; Tanaka, Yoshimi; Yamamoto, Hiroki: The gradient flow structure of an extended Maxwell viscoelastic model and a structure-preserving finite element scheme (2019)
  6. Sváček, Petr: On implementation aspects of finite element method and its application (2019)
  7. Bänsch, E.; Karakatsani, F.; Makridakis, C. G.: A posteriori error estimates for fully discrete schemes for the time dependent Stokes problem (2018)
  8. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: Gradient flow dynamics of two-phase biomembranes: sharp interface variational formulation and finite element approximation (2018)
  9. Deckelnick, Klaus; Styles, Vanessa: Stability and error analysis for a diffuse interface approach to an advection-diffusion equation on a moving surface (2018)
  10. Garcke, Harald; Lam, Kei Fong; Nürnberg, Robert; Sitka, Emanuel: A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis (2018)
  11. Garcke, Harald; Lam, Kei Fong; Styles, Vanessa: Cahn-Hilliard inpainting with the double obstacle potential (2018)
  12. Gräßle, Carmen; Hinze, Michael: POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations (2018)
  13. Lorenzi, Tommaso; Venkataraman, Chandrasekhar; Lorz, Alexander; Chaplain, Mark A. J.: The role of spatial variations of abiotic factors in mediating intratumour phenotypic heterogeneity (2018)
  14. Madzvamuse, Anotida; Barreira, Raquel: Domain-growth-induced patterning for reaction-diffusion systems with linear cross-diffusion (2018)
  15. Aland, Sebastian; Hahn, Andreas; Kahle, Christian; Nürnberg, Robert: Comparative simulations of Taylor flow with surfactants based on sharp- and diffuse-interface methods (2017)
  16. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: Finite element approximation for the dynamics of asymmetric fluidic biomembranes (2017)
  17. Elliott, Charles M.; Ranner, Thomas; Venkataraman, Chandrasekhar: Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics (2017)
  18. Gerken, Thies; Lechleiter, Armin: Reconstruction of a time-dependent potential from wave measurements (2017)
  19. 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)
  20. Mansfield, Elizabeth L.; Pryer, Tristan: Noether-type discrete conserved quantities arising from a finite element approximation of a variational problem (2017)

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