曲面双曲平均曲率流的数值逼近

IF 7.3 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-03-15 Epub Date: 2025-02-08 DOI:10.1016/j.cma.2025.117800

Klaus Deckelnick , Robert Nürnberg

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引用次数: 0

摘要

本文讨论了两种曲面双曲平均曲率流的数值逼近。对于每一个演化规律，我们都提出了一种有限元方法，以及轴对称曲面的有限差分格式。我们提出了一些数值模拟，包括收敛性测试以及暗示奇点开始的模拟。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the numerical approximation of hyperbolic mean curvature flows for surfaces

The paper addresses the numerical approximation of two variants of hyperbolic mean curvature flow of surfaces in

R^{3}

. For each evolution law we propose both a finite element method, as well as a finite difference scheme in the case of axially symmetric surfaces. We present a number of numerical simulations, including convergence tests as well as simulations suggesting the onset of singularities.

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来源期刊

Computer Methods in Applied Mechanics and Engineering 工程技术-工程：综合

CiteScore

12.70

自引率

15.30%

发文量

719

审稿时长

44 days

期刊介绍： Computer Methods in Applied Mechanics and Engineering stands as a cornerstone in the realm of computational science and engineering. With a history spanning over five decades, the journal has been a key platform for disseminating papers on advanced mathematical modeling and numerical solutions. Interdisciplinary in nature, these contributions encompass mechanics, mathematics, computer science, and various scientific disciplines. The journal welcomes a broad range of computational methods addressing the simulation, analysis, and design of complex physical problems, making it a vital resource for researchers in the field.