講座主題：Divergence-free finite element methods with Raviart-Thomas enrichment for imcompressible Stokes problems
專家姓名：芮洪興
工作單位：山東大學
講座時間：2024年05月29日09:00-10:00
講座地點：數(shù)學與信息科學學院341
主辦單位：煙臺大學數(shù)學與信息科學學院
內容摘要：
In this paper, we present the construction of divergence-free finite element methods for the incompressible Stokes equations on general simplicial meshes in 2D/2D domain with the index of polynomials on simplicial element small than or equal 4, where Raviart-Thomas mixed elements are used as enrichment elements for velocity. The discretization yields exactly divergence-free and pressure independent velocity approximation. LBB consistency condition and optimal order convergence are obtained. For the simple case where a P1⊕RT0-P0 element is used to approximate velocity and pressure, the method can be easily transformed into a pressure-robust and stabilized P1-P0 discretization. Numerical experiments illustrate the robustness and accuracy of our method.
主講人介紹：
芮洪興,，山東大學二級教授，博士生導師,。主要從事計算數(shù)學的方法,、理論及應用研究。主持國家自然科學基金重點目,、面上項目,、國家重點研發(fā)項目子課題、中石化勘探院委托任務等,。在Numer Math,、M3AS、SINUM,、Math Comp,、IMAJNA、CMAME,、JCP以及J Fluid Mech等發(fā)表多篇高水平論文,，參編專著3部。獲教育部自然科學一等獎,、山東省自然科學二等獎,、教育部自然科學二等獎。曾任CSIAM常務理事兼油水資源數(shù)值方法專委會主任,，中國計算數(shù)學學會常務理事,，中國計算物理學會常務理事，現(xiàn)任山東省工業(yè)與應用數(shù)學會副理事長,、山東數(shù)學會計算數(shù)學專委會主任,。
