Numerical solution of coupled problems using code Agros2D

被引：79

作者：

Karban, Pavel ^{[1
]}

Mach, Frantisek ^{[1
]}

Kus, Pavel ^{[1
]}

Panek, David ^{[1
]}

Dolezel, Ivo ^{[1
]}

机构：

[1] Univ W Bohemia, Dept Theory Elect Engn, Plzen, Czech Republic

来源：

COMPUTING | 2013年 / 95卷 / 01期

关键词：

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

D O I：

10.1007/s00607-013-0294-4

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

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.

引用

页码：S381 / S408

页数：28

共 21 条

[1]

Anders Logg G.W., 2012, Lecture Notes in Computational Science and Engineering, V84, P731, DOI [10.1007/978-3-642-23099-8, DOI 10.1007/978-3-642-23099-8]

[2]

Cavaliere P, 2002, MULTIPLATFORM C APPL, V2, P247

[3] A column pre-ordering strategy for the unsymmetric-pattern multifrontal method [J].

Davis, TA .

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2004, 30 (02) :165-195

[4] A supernodal approach to sparse partial pivoting [J].

Demmel, JW ;

Eisenstat, SC ;

Gilbert, JR ;

Li, XYS ;

Liu, JWH .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1999, 20 (03) :720-755

[5] Limit operation regimes of actuators working on the principle of thermoelasticity [J].

Dolezel, Ivo ;

Karban, Pavel ;

Ulrych, Bohus ;

Pantelyat, Mykhailo ;

Matyukhin, Yuri ;

Gontarowskiy, Pavlo ;

Shulzhenko, Nikolay .

IEEE TRANSACTIONS ON MAGNETICS, 2008, 44 (06) :810-813

[6] Space and Time Adaptive Two-Mesh hp-Finite Element Method for Transient Microwave Heating Problems [J].

Dubcova, L. ;

Solin, P. ;

Cerveny, J. ;

Kus, P. .

ELECTROMAGNETICS, 2010, 30 (1-2) :23-40

[7] DC induction heating of aluminum billets using superconducting magnets [J].

Fabbri, Massimo ;

Morandi, Antonio ;

Ribani, Pier Luigi .

COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 2008, 27 (02) :480-490

[8] Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities [J].

Geuzaine, Christophe ;

Remacle, Jean-Francois .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2009, 79 (11) :1309-1331

[9]

Karban P., MULTIPLATFORM C APPL

[10] UNIFIED EMBEDDED PARALLEL FINITE ELEMENT COMPUTATIONS VIA SOFTWARE-BASED FRECHET DIFFERENTIATION [J].

Long, Kevin ;

Kirby, Robert ;

Waanders, Bart Van Bloemen .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2010, 32 (06) :3323-3351

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