Study On Tree-Gauge Problem In Edge Finite Element

With the development of edge finite element,the gauge problem is necessary to be solved when magnetic vector potential A .is used.Tree-gauge is used in the edge element to assure the unity A.But tree-gauge will lead that the equation is not convergence,and that precision of result turn bad.The appliance range of traditional tree-gauge arithmetic is narrow.This paper provide a new method of the choice of the tree.This method is based on the matrix and the finite element equation,so it can be called matrix method.This mathod adopts 1 range number of the matrix as the condition to choose branches of the tree,it is theoretically optimal,the analyses of calculation also shows that this arithmetic is excelled traditional method.