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Modeling Ionic Polymer-Metal Composites with Space-Time Adaptive Multimesh hp-FEM

Published online by Cambridge University Press:  20 August 2015

David Pugal ,
Pavel Solin ,
Kwang J. Kim  and
Alvo Aabloo
David Pugal*
Affiliation:
Mechanical Engineering Department, University of Nevada, Reno Reno, NV 89557, USA Institute of Technology, University of Tartu, Nooruse St 1, 50411 Tartu, Estonia
Pavel Solin*
Affiliation:
Department of Mathematics and Statistics, University of Nevada, Reno Reno, NV 89557, USA Institute ofThermomechanics, Prague, Czech Republic
Kwang J. Kim*
Affiliation:
Mechanical Engineering Department, University of Nevada, Reno Reno, NV 89557, USA
Alvo Aabloo*
Affiliation:
Institute of Technology, University of Tartu, Nooruse St 1, 50411 Tartu, Estonia
*
Email:david.pugal@gmail.com
Corresponding author.Email:solin@unr.edu
Email:kwangkim@unr.edu
Email:alvo@ut.ee
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Abstract

We are concerned with a model of ionic polymer-metal composite (IPMC) materials that consists of a coupled system of the Poisson and Nernst-Planck equations, discretized by means of the finite element method (FEM). We show that due to the transient character of the problem 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 two solution components, it is efficient to approximate them on different meshes using a novel adaptive multimesh hp-FEM. The study is accompanied with numerous computations and comparisons of the adaptive multimesh hp-FEM with several other adaptive FEM algorithms.

Keywords

35Q9965M5065M6065H1065M2202.70.Dh41.20.Cv66.30.QaIonic polymer-metal compositesIPMCNernst-Planck equationPoisson equationfinite element methodFEMadaptive multi-mesh hp-FEM
Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 1 , January 2012 , pp. 249 - 270
Copyright
Copyright © Global Science Press Limited 2012

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