| 702 | RWTH Publication No: 1017551 2025 |
| TITLE | A comparative study of finite element methods for a class of harmonic map heat flow problems |
| AUTHORS | Nam Anh Nguyen, Arnold Reusken |
| ABSTRACT | In this paper, we review and systematically compare three finite element discretiza- tion methods for a harmonic map heat flow problem from the unit disk in R2 to the unit sphere in R3 in a unified framework. Numerical tests validate the convergence rates in a regime of smooth solutions and are used to compare the methods in terms of computational efficiency. For one of the methods a discrete inf-sup stability result is derived. |
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