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hp-FEM electromechanical transduction model of ionic polymer metal composites
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SYSNO ASEP 0439924 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title hp-FEM electromechanical transduction model of ionic polymer metal composites Author(s) Pugal, D. (US)
Šolín, Pavel (UT-L) RID
Kim, K. (US)
Aabloo, A. (EE)Source Title Journal of Computational and Applied Mathematics. - : Elsevier - ISSN 0377-0427
Roč. 260, April (2014), s. 135-148Number of pages 14 s. Publication form Print - P Language eng - English Country NL - Netherlands Keywords hp-FEM ; Nernst-Planck ; Poisson Subject RIV JA - Electronics ; Optoelectronics, Electrical Engineering R&D Projects GAP102/11/0498 GA ČR - Czech Science Foundation (CSF) Institutional support UT-L - RVO:61388998 UT WOS 000330821800011 EID SCOPUS 84886675178 DOI 10.1016/j.cam.2013.09.011 Annotation We propose a mathematically explicit model of ionic polymer–metal composite (IPMC) materials that consist of a coupled system of Poisson–Nernst–Planck–Euler equations, discretized by means of adaptive higher-order finite element methods (hp-FEM). We show that due to the transient character of the problem and different fields in terms of the locations of field gradients in the domain it is efficient to use adaptive algorithms that are capable of changing the mesh dynamically in time. We also show that due to large qualitative and quantitative differences between the four solution components–cation concentration, electric potential, x-directional displacement, and y-directional displacement – it is efficient to approximate them on different meshes using a novel adaptive multi-mesh hp-FEM. The study is accompanied with computations and comparisons of the adaptive multi-mesh hp-FEM with a number of adaptive FEM algorithms. Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2015
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