基于子网格材质平均的高阶FDTD(2,4)方法

文章提出了一种基于子网格材质平均的高阶FDTD(2,4)方法,通过对原网格内外环路所围区域进行二次剖分,分别得到内外环路的平均电磁参数;再通过加权平均得到等效电参数,避免了积分运算,简化了建模过程。FDTD(2,4)运算仍在原网格上进行,所以没有增加计算量。该方法用于求解三维介质球散射,数值结果表明,在相同计算量的条件下,该方法具有更高的精度。

Grbner-Shirshov Basis of Quantum Group of Type D_4

The authors take all isomorphism classes of indecomposable representations as new generators, and obtain all skew-commutators between these generators by using the Ringel-Hall algebra method. Then they prove that the set of these skew-commutators is a GrSbner-Shirshov basis for quantum group of type D4.