Speaker: Dr. Xiang Wang（王翔博士）

Time: 10:00-11:00, 12 June 2025 (Thursday) (Beijing time)

Venue: A103, Lijiao Building

Abstract

Conservation laws are fundamental physical properties that are expected to be preserved in numerical discretizations. We propose a two-layered dual strategy for the finite volume element method (FVEM), which possesses the conservation laws in both flux form and equation form. In particular, for problems with Dirichlet boundary conditions, the proposed schemes preserves conservation laws on all triangles, whereas conservation properties may be lost on boundary dual elements by existing vertex-centered finite volume element schemes. Theoretically, we carry out the optimal L2 analysis with reducing the regularity requirement from u∈H^{k+2} to u∈H^{k+1}. While, as a comparison, all existing L2 results for high-order (k>=2) finite volume element schemes require u∈H^{k+2} in the analysis.

About the Speaker

王翔，吉林大学数学学院副教授，博士生导师，吉林省高层次青年拔尖人才，在高阶有限体积元法与相场模型时间高精度算法等方面做出了系列工作，相关成果发表于《SIAM J. Numer. Anal.》《Math. Comput.》《J. Comput. Phys.》《Sci. China Math.》《J. Sci. Comput.》《Adv. Comput. Math.》等期刊。主持国家自然科学基金面上项目、青年科学基金项目各1项，国家重点研发计划校内子课题1项。