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Numerical solution of coupled problems using code Agros2D

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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.

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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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Authors and Affiliations

  1. Department of Theory of Electrical Engineering, University of West Bohemia, Pilsen, Czech Republic

    Pavel Karban, František Mach, Pavel Kůs, David Pánek & Ivo Doležel

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  1. Pavel Karban
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  2. František Mach
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  3. Pavel Kůs
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  4. David Pánek
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  5. Ivo Doležel
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Correspondence to Pavel Karban.

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Karban, P., Mach, F., Kůs, P. et al. Numerical solution of coupled problems using code Agros2D. Computing 95 (Suppl 1), 381–408 (2013). https://doi.org/10.1007/s00607-013-0294-4

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