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Probing the Numerical Convergence of a Commercial Finite Element Software in Electrochemical Simulations
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- CARNEIRO-NETO Evaldo Batista
- Universidade Estadual do Centro-Oeste. Depto de Química
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- SIKORA Mariana Souza
- Universidade Tecnológica do Paraná. Depto de Química
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- PEREIRA Ernesto Chaves
- Universidade Federal de São Carlos. Laboratório Interdisciplinar de Eletroquímica e Cerâmica
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- LOPES Mauro Chierici
- Universidade Estadual do Centro-Oeste. Depto de Química
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Description
We studied the efficiency and accuracy of a general purpose finite element software in the numerical solution of electrochemical models. Typical numerical complications like boundary singularities, stiffness and multiscale problems were addressed. The convergence order was determined for various mesh refinement strategies. As a general rule, the numerical efficiency of the software proved adequate to the problems dealt, but the default generated meshes and the adaptive mesh adjustment do not work properly, if high levels of accuracy are required. Therefore, a manual adjustment of the mesh control parameters is indispensable. A thorough discussion of the problem of adjusting the mesh was presented to serve as a general introduction to the subject for beginners in the field. Additionally, it was suggested a general approach for mesh optimization through which the convergence rate can be considerably increased.
Journal
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- Electrochemistry
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Electrochemistry 82 (11), 966-973, 2014
The Electrochemical Society of Japan
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Details 詳細情報について
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- CRID
- 1390282681476333824
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- NII Article ID
- 130004707696
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- ISSN
- 21862451
- 13443542
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- Text Lang
- en
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- Data Source
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- JaLC
- Crossref
- CiNii Articles
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- Abstract License Flag
- Allowed