FEMSTER is a modular finite element class library for solving three-dimensional problems arising in electromagnetism. The library was designed using a modern geometrical approach based on differential forms (or p-forms) and can be used for high-order spatial discretizations of well-known $\cal H(\text{div})$- and $\cal H(\text{curl})$-conforming finite element methods. The software consists of a set of abstract interfaces and concrete classes, providing a framework in which the user is able to add new schemes by reusing the existing classes or by incorporating new user-defined data types.

This software is also peer reviewed by journal TOMS.

References in zbMATH (referenced in 21 articles , 1 standard article )

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  1. Lohi, Jonni; Kettunen, Lauri: Whitney forms and their extensions (2021)
  2. Na, Dong-Yeop; Omelchenko, Yuri A.; Moon, Haksu; Borges, Ben-Hur V.; Teixeira, Fernando L.: Axisymmetric charge-conservative electromagnetic particle simulation algorithm on unstructured grids: application to microwave vacuum electronic devices (2017)
  3. De La Cruz, Luis M.; Ramos, Eduardo: General template units for the finite volume method in box-shaped domains (2016)
  4. Miller, S. T.; Abedi, R.: Riemann solutions for spacetime discontinuous Galerkin methods (2014)
  5. Sanchez, Eduardo J.; Paolini, Christopher P.; Castillo, Jose E.: The mimetic methods toolkit: an object-oriented API for mimetic finite differences (2014)
  6. Castillo, P. E.; Sequeira, F. A.: Computational aspects of the local discontinuous Galerkin method on unstructured grids in three dimensions (2013)
  7. Teixeira, F. L.: Differential forms in lattice field theories: an overview (2013)
  8. Weida, Daniel; Steinmetz, Thorsten; Clemens, Markus: Improved accuracy of electro-quasistatic simulations of large-scale 3D high voltage insulators with nonlinear material layers (2011)
  9. Barham, Matthew I.; White, Daniel A.; Steigmann, David J.: Finite element modeling of the deformation of magnetoelastic film (2010)
  10. Dedner, Andreas; Klöfkorn, Robert; Nolte, Martin; Ohlberger, Mario: A generic interface for parallel and adaptive discretization schemes: Abstraction principles and the DUNE-FEM module (2010)
  11. Bangerth, W.; Kayser-Herold, O.: Data structures and requirements for \textithpfinite element software (2009)
  12. Kurkcu, Harun; Reitich, Fernando: Stable and efficient evaluation of periodized Green’s functions for the Helmholtz equation at high frequencies (2009)
  13. Rognes, Marie E.; Kirby, Robert C.; Logg, Anders: Efficient assembly of (H(\mathrmdiv)) and (H(\mathrmcurl)) conforming finite elements (2009)
  14. Taube, Arne; Dumbser, Michael; Munz, Claus-Dieter; Schneider, Rudolf: A high-order discontinuous Galerkin method with time-accurate local time stepping for the Maxwell equations (2009)
  15. Terrel, A. R.; Scott, L. R.; Knepley, M. G.; Kirby, R. C.: Automated FEM discretizations for the Stokes equation (2008)
  16. Bangerth, Wolfgang; Hartmann, Ralf; Kanschat, Guido: deal.ii -- a general-purpose object-oriented finite element library. (2007)
  17. Fisher, A.; White, D.; Rodrigue, G.: An efficient vector finite element method for nonlinear electromagnetic modeling (2007)
  18. Rieben, R. N.; White, D. A.; Wallin, B. K.; Solberg, J. M.: An arbitrary Lagrangian-Eulerian discretization of MHD on 3D unstructured grids (2007)
  19. Castillo, Paul; Rieben, Robert; White, Daniel: FEMSTER: an object-oriented class library of high-order discrete differential forms. (2005)
  20. Chen, Min-Hung; Cockburn, Bernardo; Reitich, Fernando: High-order RKDG methods for computational electromagnetics (2005)

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