4.5 Article

Numerical solution of coupled problems using code Agros2D

Journal

COMPUTING
Volume 95, Issue 1, Pages S381-S408

Publisher

SPRINGER WIEN
DOI: 10.1007/s00607-013-0294-4

Keywords

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

Funding

  1. European Regional Development Fund
  2. Ministry of Education, Youth and Sports of the Czech Republic [CZ.1.05/2.1.00/03.0094]
  3. [GACR P102/11/0498]

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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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