一种积分形式的流量重构算法的超收敛性

Superconvergence of a Flux Recovery Method Taking Integral Form

对一维问题,何松年新近提出一种积分形式的流量重构算法,并证明了常系数情形下重构流量L2意义下的超收敛性.本文运用超收敛基本估计对变系数情形证明了重构流量的逐点超收敛性.

For one dimensional problem, S. He has recently proposed a flux recovery method taking integral form and proved the superconvergence of the recovery flux in L2 norm for constant coefficient equations. In this paper, using the fundamental estimation of superconvergence theory, the author has proved the pointwise superconvergence of the recovery flux for variable coefficient equations.