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http://localhost:8080/xmlui/handle/123456789/817| Title: | 𝐻 1 -Convergence of FEM-BDS for Linear Parabolic Interface Problems |
| Authors: | Adewole, M. O |
| Keywords: | finite element method, interface, almost-optimal, parabolic equation, implicit scheme. |
| Issue Date: | Sep-2018 |
| Publisher: | Journal of Computer Science & Computational Mathematics |
| Citation: | Adewole, M. O. (2018). 𝐻 1 -Convergence of FEM-BDS for Linear Parabolic Interface Problems. Journal of Computer Science & Computational Mathematics, Volume 8, Issue 3 |
| Series/Report no.: | 8;3 |
| Abstract: | In this paper, I have extended the analysis done in the previous research [1] which proposed a standard finite element method with a four step time discretization. The analysis in that paper revealed that almost optimal order of convergence in the 𝐿 2(Ω)-norm is obtainable when the interface cannot be fitted exactly. I have also derived almost optimal error estimate in 𝐻1(Ω)-norm. Numerical experiments are presented in this research to support the theoretical result. |
| URI: | http://localhost:8080/xmlui/handle/123456789/817 |
| Appears in Collections: | Computer Science |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2018-2pdf.pdf | 1.09 MB | Adobe PDF | View/Open |
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