FELICITY

FELICITY: Finite Element Implementation and Computational Interface Tool for You. This is a MATLAB/C++ code for solving PDEs that are discretized by a finite element method on unstructured simplex grids. It uses a Domain-Specific-Language (DSL) to help streamline implementation of FE discretizations (e.g. matrix assembly) by automatic code generation. The resultant sparse matrices can be manipulated by MATLAB for ease in solving a PDE on a triangular (or tetrahedral) mesh.


References in zbMATH (referenced in 22 articles , 1 standard article )

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  1. Chukwuemeka, Edison E.; Walker, Shawn W.: Accelerated gradient descent methods for the uniaxially constrained Landau-de Gennes model (2022)
  2. Laurain, Antoine; Walker, Shawn W.: Optimal control of volume-preserving mean curvature flow (2021)
  3. Schimming, Cody D.; Viñals, Jorge; Walker, Shawn W.: Numerical method for the equilibrium configurations of a Maier-Saupe bulk potential in a Q-tensor model of an anisotropic nematic liquid crystal (2021)
  4. Arnold, Douglas N.; Walker, Shawn W.: The Hellan-Herrmann-Johnson method with curved elements (2020)
  5. Borthagaray, Juan Pablo; Nochetto, Ricardo H.; Walker, Shawn W.: A structure-preserving FEM for the uniaxially constrained (\mathbfQ)-tensor model of nematic liquid crystals (2020)
  6. Brenner, Susanne C.; Diegel, Amanda E.; Sung, Li-Yeng: A robust solver for a second order mixed finite element method for the Cahn-Hilliard equation (2020)
  7. Brenner, Susanne C.; Liu, Sijing; Sung, Li-yeng: Multigrid methods for saddle point problems: optimality systems (2020)
  8. Walker, Shawn W.: A finite element method for the generalized Ericksen model of nematic liquid crystals (2020)
  9. Diegel, Amanda E.; Walker, Shawn W.: A finite element method for a phase field model of nematic liquid crystal droplets (2019)
  10. Gilani, Faheem; Harlim, John: Approximating solutions of linear elliptic PDE’s on a smooth manifold using local kernel (2019)
  11. Nochetto, R. H.; Ntogkas, D.; Zhang, W.: Two-scale method for the Monge-Ampère equation: convergence to the viscosity solution (2019)
  12. Nochetto, Ricardo H.; Ntogkas, Dimitrios: Convergent two-scale filtered scheme for the Monge-Ampère equation (2019)
  13. Antil, Harbir; Walker, Shawn W.: Optimal control of a degenerate PDE for surface shape (2018)
  14. Brenner, Susanne C.; Diegel, Amanda E.; Sung, Li-Yeng: A robust solver for a mixed finite element method for the Cahn-Hilliard equation (2018)
  15. Morvant, Angelique; Seal, Ethan; Walker, Shawn W.: A coupled Ericksen/Allen-Cahn model for liquid crystal droplets (2018)
  16. Nochetto, Ricardo H.; Walker, Shawn W.; Zhang, Wujun: The Ericksen model of liquid crystals with colloidal and electric effects (2018)
  17. Nochetto, Ricardo H.; Zhang, Wujun: Discrete ABP estimate and convergence rates for linear elliptic equations in non-divergence form (2018)
  18. Walker, Shawn W.: FELICITY: a Matlab/C++ toolbox for developing finite element methods and simulation modeling (2018)
  19. Wu, Hao; Ponce de León, Marco Avila; Othmer, Hans G.: Getting in shape and swimming: the role of cortical forces and membrane heterogeneity in eukaryotic cells (2018)
  20. Nochetto, Ricardo H.; Walker, Shawn W.; Zhang, Wujun: A finite element method for nematic liquid crystals with variable degree of orientation (2017)

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