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(xué)
講座時(shí)間：2024年05月29日09:00-10:00
講座地點(diǎn)：數(shù)學(xué)與信息科學(xué)學(xué)院341
主辦單位：煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)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(xué)二級(jí)教授,，博士生導(dǎo)師。主要從事計(jì)算數(shù)學(xué)的方法,、理論及應(yīng)用研究。主持國(guó)家自然科學(xué)基金重點(diǎn)目,、面上項(xiàng)目,、國(guó)家重點(diǎn)研發(fā)項(xiàng)目子課題、中石化勘探院委托任務(wù)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(xué)一等獎(jiǎng),、山東省自然科學(xué)二等獎(jiǎng),、教育部自然科學(xué)二等獎(jiǎng)。曾任CSIAM常務(wù)理事兼油水資源數(shù)值方法專委會(huì)主任,，中國(guó)計(jì)算數(shù)學(xué)學(xué)會(huì)常務(wù)理事,，中國(guó)計(jì)算物理學(xué)會(huì)常務(wù)理事，現(xiàn)任山東省工業(yè)與應(yīng)用數(shù)學(xué)會(huì)副理事長(zhǎng),、山東數(shù)學(xué)會(huì)計(jì)算數(shù)學(xué)專委會(huì)主任,。
