Development of adaptive methods for reaction-diffusion and other transport problems arising in electrochemistry

Lesław K. Bieniasz

Institute of Physical Chemistry of the Polish Academy of Sciences,,Department of Complex Systems and Chemical Processing of Information,,ul. Niezapominajek 8, 30-239 Kraków, Poland,Institute of Teleinformatics, Faculty of Electrical and Computer Engineering,,Cracow University of Technology,ul. Warszawska 24, 31-155 Kraków, Poland.

DOI:

https://doi.org/10.7494/cmms.2009.2.0245

Abstract:

In the course of over 15 years of work of the author, on the development of adaptive finite-difference methods for reaction-diffusion and other reactive transport phenomena occurring in electrochemistry, much experience has been accumulated, which can also be of interest to modellers in other areas, including materials science. The results of that research are briefly summarized, indicating the advantages and disadvantages of the various methods. It is argued that much more work still has to be done to design satisfactory adaptive methods, even for spatially one-dimensional equations, despite the fact that for such problems the adaptive methodology is currently regarded to be mature.

Cite as:

Bieniasz, L. (2009). Development of adaptive methods for reaction-diffusion and other transport problems arising in electrochemistry. Computer Methods in Materials Science, 9(2), 296 – 301. https://doi.org/10.7494/cmms.2009.2.0245

Article (PDF):