Hermes2D

Hermes2D is a C++ library for rapid development of adaptive hp-FEM / hp-DG solvers. Novel hp-adaptivity algorithms are designed to solve a large variety of problems ranging from ODE and stationary linear PDE to complex time-dependent nonlinear multiphysics PDE systems. The code is distributed under the GNU General Public License (Hermes2D and Hermes3D) and BSD License (Hermes1D). The hp-FEM group at the University of Nevada, Reno and University of West Bohemia, Pilsen is concerned with the development, implementation, and dissemination of modern computational methods for engineering and scientific problems described by partial differential equations (PDE). Our work is freely available through several open source projects.


References in zbMATH (referenced in 15 articles , 1 standard article )

Showing results 1 to 15 of 15.
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  1. Giani, Stefano; Solin, Pavel: Solving elliptic eigenproblems with adaptive multimesh (hp)-FEM (2021)
  2. Houston, Paul; Roggendorf, Sarah; van der Zee, Kristoffer G.: Eliminating Gibbs phenomena: a non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation (2020)
  3. Sváček, Petr: On implementation aspects of finite element method and its application (2019)
  4. Nikolayev, Denys; Kubík, Zdeněk; Karban, Pavel; Skála, Jiří: Impedance analysis of transmission line cells for EMC applications using Agros2D (2016)
  5. Anjam, I.; Valdman, J.: Fast MATLAB assembly of FEM matrices in 2D and 3D: edge elements (2015)
  6. Koudela, Lukáš; Kotlan, Václav: High-speed rotation induction heating in thermal clamping technology (2015)
  7. Bittl, Melanie; Kuzmin, Dmitri: The reference solution approach to (hp)-adaptivity in finite element flux-corrected transport algorithms (2014)
  8. Bittl, Melanie; Kuzmin, Dmitri; Becker, Roland: The CG1-DG2 method for convection-diffusion equations in 2D (2014)
  9. Braun, Moritz: Electrostatics simulations on the cloud with NCLab (2014)
  10. Solin, Pavel; Korous, Lukas; Kus, Pavel: Hermes2D, a C++ library for rapid development of adaptive (hp)-FEM and (hp)-DG solvers (2014)
  11. Karban, Pavel; Mach, František; Doležel, Ivo: Modeling of rotational induction heating of nonmagnetic cylindrical billets (2013)
  12. Karban, Pavel; Mach, František; Doležel, Ivo: Hard-coupled model of local direct resistance heating of thin sheets (2012)
  13. Mach, František; Karban, Pavel; Doležel, Ivo: Induction heating of cylindrical nonmagnetic ingots by rotation in static magnetic field generated by permanent magnets (2012)
  14. Ma, Zhonghua; Korous, Lukas; Santiago, Erick: Solving a suite of NIST benchmark problems for adaptive FEM with the Hermes library (2012)
  15. Ragusa, Jean C.: Application of (h)-, (p)-, and (hp)-mesh adaptation techniques to the (SP_3) equations (2010)