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RE: A comparative analysis of methods mimetics, finite difference and finite elements for stationary problems
I am not familiar with the mimetic method so I have a number of questions:
Are there any theoretical results which prove the convergence of the mimetic method for a specific set of equations?
How do stability results compare?
I also have one suggestion: The steemstem community has a low percentage of individuals with a strong mathematical background. So for most of the community it is not possible to fully enjoy your posts. To increase your audience and to further promote your work, you could consider to write a simple version of your research results. Would you be interested in that?
Hello @mathowl, thanks for commenting and asking about aspects that you do not know.
If there are theoretical results with respect to the convergence of the method, for conservative type equations.
The method is stable.
Regarding your suggestion: I have seen that when the works I publish are quite simple, they are valued with a very small percentage. That is why I try to raise the level of them. But because of his suggestion he would have no problem doing.
Also, since he tells me that they have few people in the community with a solid mathematical background, I offer my collaboration, if you deem it convenient, to review the work in the area of mathematics, and thus be able to return the collaboration to your.
Motivated by your questions, I will elaborate some publications about the mimetic method, as well as details of its construction, as well as the study of the convergence for some type of equations.
Thankful for your comments.
Best regards.
Follow up question for 2) Is it possible to prove stability?
Regarding suggestion: You can still treat complicated subjects but try to explain them in an informal way as possible since there are not many which can understand the technicalities. :)
If it is possible to prove the stability of the method!
I will take your suggestions!