Camellia: a software framework for discontinuous Petrov-Galerkin methods. The discontinuous Petrov–Galerkin (DPG) methodology of Demkowicz and Gopalakrishnan minimizes the solution residual in a user-determinable energy norm and offers a built-in mechanism for evaluating error in the energy norm, among other desirable features. However, the methodology also brings with it some additional complexity for researchers who wish to experiment with DPG in their computations. In this paper, we introduce Camellia , a software framework whose central design goal is to enable developers to create efficient hphp-adaptive DPG solvers with minimal effort

References in zbMATH (referenced in 12 articles )

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  1. Demkowicz, Leszek; Gopalakrishnan, Jay; Keith, Brendan: The DPG-star method (2020)
  2. Keith, Brendan; Astaneh, Ali Vaziri; Demkowicz, Leszek F.: Goal-oriented adaptive mesh refinement for discontinuous Petrov-Galerkin methods (2019)
  3. Roberts, Nathan V.: Camellia: a rapid development framework for finite element solvers (2019)
  4. Vaziri Astaneh, Ali; Keith, Brendan; Demkowicz, Leszek: On perfectly matched layers for discontinuous Petrov-Galerkin methods (2019)
  5. Führer, Thomas; Heuer, Norbert; Karkulik, Michael; Rodríguez, Rodolfo: Combining the DPG method with finite elements (2018)
  6. Chen, Huangxin; Qiu, Weifeng: A first order system least squares method for the Helmholtz equation (2017)
  7. Fuentes, Federico; Demkowicz, Leszek; Wilder, Aleta: Using a DPG method to validate DMA experimental calibration of viscoelastic materials (2017)
  8. Fuentes, Federico; Keith, Brendan; Demkowicz, Leszek; Le Tallec, Patrick: Coupled variational formulations of linear elasticity and the DPG methodology (2017)
  9. Roberts, Nathan V.; Chan, Jesse: A geometric multigrid preconditioning strategy for DPG system matrices (2017)
  10. Jin, Yanyi: Local analysis of HDG methods for convection-dominated diffusion problems (2016)
  11. Roberts, Nathan V.; Demkowicz, Leszek; Moser, Robert: A discontinuous Petrov-Galerkin methodology for adaptive solutions to the incompressible Navier-Stokes equations (2015)
  12. Roberts, Nathan V.: Camellia: a software framework for discontinuous Petrov-Galerkin methods (2014)