PDELab, an extensible C++ template library for finite element methods We describe PDELab, an extensible C++ template library for finite element methods based on the Distributed and Unified Numerics Environment (Dune). PDELab considerably simplifies the implementation of discretization schemes for systems of partial differential equations (PDEs) by setting up global functions and operators from a simple element-local description. A general concept for incorporation of constraints eases the implementation of essential boundary conditions, hanging nodes and varying polynomial degree. The underlying Dune software framework provides parallelization and dimension-independence.

References in zbMATH (referenced in 29 articles , 1 standard article )

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  1. Chamakuri, Nagaiah; Kügler, Philipp: Parallel space-time adaptive numerical simulation of 3D cardiac electrophysiology (2022)
  2. Corbin, Gregor; Klar, Axel; Surulescu, Christina; Engwer, Christian; Wenske, Michael; Nieto, Juanjo; Soler, Juan: Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: from subcellular dynamics to macroscopic PDEs with multiple taxis (2021)
  3. Engwer, Christian; Wenske, Michael: Estimating the extent of glioblastoma invasion. Approximate stationalization of anisotropic advection-diffusion-reaction equations in the context of glioblastoma invasion (2021)
  4. Engwer, Christian; Westerheide, Sebastian: An unfitted dG scheme for coupled bulk-surface PDEs on complex geometries (2021)
  5. Rohde, Christian; von Wolff, Lars: A ternary Cahn-Hilliard-Navier-Stokes model for two-phase flow with precipitation and dissolution (2021)
  6. Varma, V. Dhanya; Nadupuri, Suresh Kumar; Chamakuri, Nagaiah: A posteriori error estimates and an adaptive finite element solution for the system of unsteady convection-diffusion-reaction equations in fluidized beds (2021)
  7. Chamakuri, Nagaiah; Kügler, Philipp: A coupled monodomain solver with optimal memory usage for the simulation of cardiac wave propagation (2020)
  8. Engwer, Christian; May, Sandra; Nüßing, Andreas; Streitbürger, Florian: A stabilized DG cut cell method for discretizing the linear transport equation (2020)
  9. Moxey, David; Amici, Roman; Kirby, Mike: Efficient matrix-free high-order finite element evaluation for simplicial elements (2020)
  10. Varma, V. Dhanya; Chamakuri, Nagaiah; Nadupuri, Suresh Kumar: Discontinuous Galerkin solution of the convection-diffusion-reaction equations in fluidized beds (2020)
  11. Detommaso, Gianluca; Dodwell, Tim; Scheichl, Rob: Continuous level Monte Carlo and sample-adaptive model hierarchies (2019)
  12. Engwer, Christian; Henning, Patrick; Målqvist, Axel; Peterseim, Daniel: Efficient implementation of the localized orthogonal decomposition method (2019)
  13. Schmidt, Patrick; Steeb, Holger: Numerical aspects of hydro-mechanical coupling of fluid-filled fractures using hybrid-dimensional element formulations and non-conformal meshes (2019)
  14. Teixeira Parente, Mario; Mattis, Steven; Gupta, Shubhangi; Deusner, Christian; Wohlmuth, Barbara: Efficient parameter estimation for a methane hydrate model with active subspaces (2019)
  15. Cicuttin, M.; Di Pietro, D. A.; Ern, A.: Implementation of discontinuous skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming (2018)
  16. Kröner, Axel; Kröner, Eva; Kröner, Heiko: Finite element approximation of level set motion by powers of the mean curvature (2018)
  17. Chamakuri, Nagaiah; Kunisch, Karl: Primal-dual active set strategy for large scale optimization of cardiac defibrillation (2017)
  18. Engwer, Christian; Vorwerk, Johannes; Ludewig, Jakob; Wolters, Carsten H.: A discontinuous Galerkin method to solve the EEG forward problem using the subtraction approach (2017)
  19. Karpinski, Stefan; Pop, Iuliu Sorin: Analysis of an interior penalty discontinuous Galerkin scheme for two phase flow in porous media with dynamic capillary effects (2017)
  20. McRae, A. T. T.; Bercea, G.-T.; Mitchell, L.; Ham, D. A.; Cotter, C. J.: Automated generation and symbolic manipulation of tensor product finite elements (2016)

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