• 科學研究
    報告題目:

    Discrete Hessian complexes in three dimensions

    報告人:

    黃學海 教授 (上海財經大學數學學院)

    報告時間:

    報告地點:

    騰訊會議 ID 193 277 124

    報告摘要:

    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.

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