product-preserving functor

This paper discusses the homotopy adjoint property of tensor product functor _RY and the hom functor hom_s(Y,-) in the categories of complexes.

主要讨论了复形范畴的张量积函子与hom函子的同伦伴随性,并且给出了同伦正则正向极限的定义,证明了复形范畴的张量积函子保持这种极限。

Based on a preserving-integral operator,by choosing a special control volume and linear finite element space under quadrilateral grids,a symmetric finite volume scheme for a self-adjoint elliptic boundary value problem is presented in this paper.

针对一类自共轭椭圆问题,在四边形剖分下,利用一类保积分算子,选取一种特殊的控制体和线性有限元空间,构造了一类对称有限体元格式,并给出其误差的L2模、H1模和L∞模估计,数值实验验证了理论结果的正确性。