Barrett, John W. and Garcke, Harald and Nuernberg, Robert (2019) Finite element methods for fourth order axisymmetric geometric evolution equations. JOURNAL OF COMPUTATIONAL PHYSICS, 376. pp. 733-766. ISSN 0021-9991, 1090-2716
Full text not available from this repository. (Request a copy)Abstract
Fourth order curvature driven interface evolution equations frequently appear in the natural sciences. Often axisymmetric geometries are of interest, and in this situation numerical computations are much more efficient. We will introduce and analyze several new finite element schemes for fourth order geometric evolution equations in an axisymmetric setting, and for selected schemes we will show existence, uniqueness and stability results. The presented schemes have very good mesh and stability properties, as will be demonstrated by several numerical examples. (C) 2018 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SURFACE-DIFFUSION; SPONTANEOUS CURVATURE; NUMERICAL SCHEME; WILLMORE FLOW; APPROXIMATION; STABILITY; MOTION; DYNAMICS; ENERGY; Surface diffusion; Willmore flow; Helfrich flow; Finite elements; Axisymmetry; Tangential movement |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 28 Apr 2020 06:44 |
| Last Modified: | 28 Apr 2020 06:44 |
| URI: | https://pred.uni-regensburg.de/id/eprint/27957 |
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