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 166 articles , 1 standard article )

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  1. Nürnberg, Robert; Tucker, Edward J. W.: Finite element approximation of a phase field model arising in nanostructure patterning (2015)
  2. 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)
  3. Gaspoz, Fernando D.; Morin, Pedro: Approximation classes for adaptive higher order finite element approximation (2014)
  4. Hu, Xiaozhe; Lee, Young-Ju; Xu, Jinchao; Zhang, Chen-Song: On adaptive Eulerian-Lagrangian method for linear convection-diffusion problems (2014)
  5. Nürnberg, Robert; Sacconi, Andrea: An unfitted finite element method for the numerical approximation of void electromigration (2014)
  6. Abdulle, Assyr; Bai, Yun: Adaptive reduced basis finite element heterogeneous multiscale method (2013)
  7. Barrett, John W.; Garcke, Harald; Nürnberg, Robert: Eliminating spurious velocities with a stable approximation of viscous incompressible two-phase Stokes flow (2013)
  8. 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)
  9. Demlow, Alan; Larsson, Stig: Local pointwise a posteriori gradient error bounds for the Stokes equations (2013)
  10. Pyo, Jae-Hong: Error estimates for the second order semi-discrete stabilized gauge-Uzawa method for the Navier-Stokes equations (2013)
  11. Schmuck, M.: New porous medium Poisson-Nernst-Planck equations for strongly oscillating electric potentials (2013)
  12. Venkataraman, C.; Lakkis, O.; Madzvamuse, A.: Adaptive finite elements for semilinear reaction-diffusion systems on growing domains (2013)
  13. 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)
  14. Belenki, Liudmila; Diening, Lars; Kreuzer, Christian: Optimality of an adaptive finite element method for the (p)-Laplacian equation (2012)
  15. Blank, Luise; Sarbu, Lavinia; Stoll, Martin: Preconditioning for Allen-Cahn variational inequalities with non-local constraints (2012)
  16. Cascón, J. Manuel; Nochetto, Ricardo H.: Quasioptimal cardinality of AFEM driven by nonresidual estimators (2012)
  17. Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao: Optimal multilevel methods for graded bisection grids (2012)
  18. Elliott, Charles M.; Styles, Vanessa: An ALE ESFEM for solving PDEs on evolving surfaces (2012)
  19. Garau, Eduardo M.; Morin, Pedro; Zuppa, Carlos: Quasi-optimal convergence rate of an AFEM for quasi-linear problems of monotone type (2012)
  20. Kreuzer, Christian: Analysis of an adaptive Uzawa finite element method for the nonlinear Stokes problem (2012)

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