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. 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)
  2. Demlow, Alan; Larsson, Stig: Local pointwise a posteriori gradient error bounds for the Stokes equations (2013)
  3. Pyo, Jae-Hong: Error estimates for the second order semi-discrete stabilized gauge-Uzawa method for the Navier-Stokes equations (2013)
  4. Schmuck, M.: New porous medium Poisson-Nernst-Planck equations for strongly oscillating electric potentials (2013)
  5. Venkataraman, C.; Lakkis, O.; Madzvamuse, A.: Adaptive finite elements for semilinear reaction-diffusion systems on growing domains (2013)
  6. Vogel, Andreas; Reiter, Sebastian; Rupp, Martin; Nägel, Arne; Wittum, Gabriel: \textitUG4: a novel flexible software system for simulating PDE based models on high performance computers (2013)
  7. Belenki, Liudmila; Diening, Lars; Kreuzer, Christian: Optimality of an adaptive finite element method for the (p)-Laplacian equation (2012)
  8. Blank, Luise; Sarbu, Lavinia; Stoll, Martin: Preconditioning for Allen-Cahn variational inequalities with non-local constraints (2012)
  9. Cascón, J. Manuel; Nochetto, Ricardo H.: Quasioptimal cardinality of AFEM driven by nonresidual estimators (2012)
  10. Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao: Optimal multilevel methods for graded bisection grids (2012)
  11. Elliott, Charles M.; Styles, Vanessa: An ALE ESFEM for solving PDEs on evolving surfaces (2012)
  12. Garau, Eduardo M.; Morin, Pedro; Zuppa, Carlos: Quasi-optimal convergence rate of an AFEM for quasi-linear problems of monotone type (2012)
  13. Kreuzer, Christian: Analysis of an adaptive Uzawa finite element method for the nonlinear Stokes problem (2012)
  14. Kreuzer, Christian; Möller, Christian A.; Schmidt, Alfred; Siebert, Kunibert G.: Design and convergence analysis for an adaptive discretization of the heat equation (2012)
  15. Lakkis, Omar; Pryer, Tristan: Gradient recovery in adaptive finite-element methods for parabolic problems (2012)
  16. Mekchay, Khamron: Application of adaptive finite element method for elliptic partial differential equations to the Laplace Beltrami operator on graphs (2012)
  17. Schmuck, M.: First error bounds for the porous media approximation of the Poisson-Nernst-Planck equations (2012)
  18. Siebert, Kunibert G.: Mathematically founded design of adaptive finite element software (2012)
  19. Venkataraman, Chandrasekhar; Lakkis, Omar; Madzvamuse, Anotida: Global existence for semilinear reaction-diffusion systems on evolving domains (2012)
  20. Zhong, Liuqiang; Chen, Long; Shu, Shi; Wittum, Gabriel; Xu, Jinchao: Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations (2012)