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, Volume 95, Supplement 1, pp 381–408 | Cite as

Numerical solution of coupled problems using code Agros2D

  • Pavel Karban
  • František Mach
  • Pavel Kůs
  • David Pánek
  • Ivo Doležel
Article

Abstract

New code Agros2D for 2D numerical solution of coupled problems is presented. This code is based on the fully adaptive higher-order finite element method and works with library Hermes2D containing the most advanced numerical algorithms for the numerical processing of systems of second-order partial differential equations. It is characterized by several quite unique features such as work with hanging nodes of any level, multimesh technology (every physical field can be calculated on a different mesh generally varying in time) and a possibility of combining triangular, quadrilateral and curved elements. The power of the code is illustrated by three typical coupled problems.

Keywords

Higher-order finite element method Coupled problems  Monolithic solution hp-adaptivity Hanging nodes 

Mathematics Subject Classification

65M60 68N01 

Notes

Acknowledgments

This work was supported by the European Regional Development Fund and Ministry of Education, Youth and Sports of the Czech Republic (Project No. CZ.1.05/2.1.00/03.0094: Regional Innovation Centre for Electrical Engineering - RICE) and Grant project GACR P102/11/0498.

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Copyright information

© Springer-Verlag Wien 2013

Authors and Affiliations

  • Pavel Karban
    • 1
  • František Mach
    • 1
  • Pavel Kůs
    • 1
  • David Pánek
    • 1
  • Ivo Doležel
    • 1
  1. 1.Department of Theory of Electrical EngineeringUniversity of West BohemiaPilsenCzech Republic

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