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科学研究
报告题目:

Discrete Hessian complexes in three dimensions

报告人:

黄学海 教授 (上海财经大学数学学院)

报告时间:

报告地点:

腾讯会议 ID 193 277 124

报告摘要:

One conforming and one non-conforming virtual element Hessian complexes on tetrahedral grids are constructed based on decompositions of polynomial tensor space. Both discrete Hessian complexes start from H2-conforming virtual elements, and end with discontinuous P1 element. The middle H(curl, S) virtual elements are constructed by mixing the hessian of H2-conforming virtual elements and the pulling back of H(div; T)-conforming finite element through operator sym(x\times). The local dimensions of the four spaces in the conforming virtual element Hessian complex are (68, 132, 80, 12), while the non-conforming version is (28, 92, 80, 12). They are applied to discretize the linearized time-independent Einstein-Bianchi system.