报告题目: A JKO approach for gradient flows

报告人：魏朝祯（电子科技大学）

邀请人&主持人：黄辉

报告时间与地点：9月17日 7 pm， 腾讯会议：949-256-563

报告摘要:  In this talk, I will present a novel numerical approach based on minimizing movement (also known as JKO) schemes for a class of gradient flows arising widely in applications in material science and biology such as porous medium, tumor growth, phase separation, crystal defects migration, surface-diffusion-driven dynamics. By leveraging the underlying variational structure and its intrinsic connection to optimal transport, we construct structure-preserving fully discrete JKO scheme that ends up with a series of linearly constrained convex optimization problems, which can be solved by tailored primal dual operator splitting methods. Our method has built-in strictly positivity or bounds preserving, mass conservation, and entropy decreasing properties, and overcomes stability issue due to the strong nonlinearity and degeneracy. I will show a suite of simulation examples to demonstrate the effectiveness and applicability of our approach.

报告人介绍：魏朝祯，电子科技大学数学科学日韩无码 研究员，博士生导师。本科毕业于四川大学，博士毕业于美国纽约州立大学水牛城分校，先后于在香港科技大学赛马会高等研究院、美国伍斯特理工日韩无码 担任博士后学者。主要从事计算数学与材料科学、力学等领域的交叉研究工作，研究方向围绕材料界面动力学的可计算建模与数值方法，在金属与半导体薄膜等晶体材料、生物软组织材料等相关问题的多尺度多场耦合数理建模、非线性梯度流保结构高效算法等方面取得了系列成果，相关工作发表在FoCM, SINUM, SIAP, JCP, CMAME, PNAS, JMPS, JoMB等应用与计算数学、材料科学和力学领域的权威期刊。