Nonlinear Coupled Problems Solved by hp-FEM

0375944 - ÚT 2013 RIV GR eng C - Conference Paper (international conference)
Kůs, Pavel - Kotlan, V. - Karban, P. - Doležel, Ivo
Nonlinear Coupled Problems Solved by hp-FEM.
ICNAAM 2011. Halkidiki: AIP-American Institute of Physics, 2011, s. 1948-1951. ISBN 978-0-7354-0954-5.
[International Conference on Numerical Analysis and Applied Mathematics 2011 - ICNAAM 2011. Halkidiki (GR), 19.09.2011-25.09.2011]
R&D Projects: GA AV ČR IAA100760702
Institutional research plan: CEZ:AV0Z20570509
Keywords : hp-FEM * magneto-thermo-elasticity * coupled problems
Subject RIV: JA - Electronics ; Optoelectronics, Electrical Engineering

A necessity to solve coupled problems arises in various field of physics and engineering. The main aim of this work is to developed a general framework and software for simple solving of complex coupled problems and to investigate and compare various different approaches towards the solution. Namely we want to quantify benefits of monolithic dicsretization of the coupled problem (where all fields are discretized together into one matrix for each time level of the transient problem)with respect to the standard approach, where each field is resolved separately using values of the other fields from the previous time level for the non-linear constants, when necessary. As an example of real device we selected actuator, whwre magnetic field causes heating of certain parts and it results to its prolongation. It is used for precise positioning of various objects.
Permanent Link: http://hdl.handle.net/11104/0208468