Numerical solution of coupled problems using code Agros2D

• Published in: Computing Vol. 95; no. Suppl 1; pp. 381 - 408
• Main Authors: Karban, Pavel, Mach, František, Kůs, Pavel, Pánek, David, Doležel, Ivo
• Format: Journal Article
• Language: English
• Published: Vienna Springer Vienna 01.05.2013; Springer Nature B.V
• Subjects: Adaptive algorithms; Algorithms; Artificial Intelligence; Candidates; Codes; Computer Appl. in Administrative Data Processing; Computer Communication Networks; Computer Science; Curved; Finite element method; Information Systems Applications (incl.Internet); Libraries; Mathematical analysis; Mathematical models; Numerical analysis; Ordinary differential equations; Partial differential equations; Software Engineering; Two dimensional; adaptivity; Higher-order finite element method; Monolithic solution; Coupled problems; 65M60; Hanging nodes; 68N01
• ISSN: 0010-485X; 1436-5057
• DOI: 10.1007/s00607-013-0294-4

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.