講座主題:Robust globally divergence-free Weak Galerkin finite element methods for two incompressible MHD models
專家姓名:謝小平
工作單位:四川大學
講座時間:2024年04月20日8:30-9:00
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(nèi)容摘要:
We develop weak Galerkin methods of arbitrary order for the steady incompressible Magnetohydrodynamics (MHD) model and the thermally coupled incompressible MHD model. The methods yield globally divergence-free approximations of the velocity and magnetic fields. We give existence and uniqueness results for the discrete schemes and derive optimal a priori error estimates. We also present convergent linearized iterative algorithms. Numerical experiments are provided to verify the obtained theoretical results.
主講人介紹:
謝小平,,四川大學數(shù)學學院教授(博導),,四川省學術(shù)和技術(shù)帶頭人,教育部新世紀優(yōu)秀人才,,德國洪堡學者?,F(xiàn)兼任四川省普通本科高等學校數(shù)學類教學指導委員會秘書長,中國工業(yè)與應(yīng)用數(shù)學學會油水資源數(shù)值方法專業(yè)委員會副主任委員,。主要從事偏微分方程數(shù)值解相關(guān)領(lǐng)域研究工作。曾獲教育部自然科學二等獎,。