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On a minimizing movement scheme for mean curvature flow with prescribed contact angle in a curved domain and its computation
Title: | On a minimizing movement scheme for mean curvature flow with prescribed contact angle in a curved domain and its computation |
Authors: | Eto, Tokuhiro Browse this author | Giga, Yoshikazu Browse this author →KAKEN DB |
Keywords: | Mean curvature flow | Contact angle problem | Capillary functional | Split Bregman method | Chambolle’s scheme |
Issue Date: | 23-May-2023 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 1150 |
Start Page: | 1 |
End Page: | 28 |
Abstract: | We introduce a capillary Chambolle type scheme for mean curvature flow with prescribed contact angle. Our scheme includes a capillary functional instead of just the total variation. We show that the scheme is well-defined and has consistency with the energy minimizing scheme of Almgren-Taylor-Wang type. Moreover, for a planar motion in a strip, we give several examples of numerical computation of this scheme based on the split Bregman method instead of a duality method. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/89346 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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