An analysis of the Eddy current problem by the least-squares finite element in 2-D

摘要

This report discusses an analysis of least-squares finite element for a steady electromagnetic field in 2-D. The Maxwell equations for the magnetic field strength H are written into a first-order linear system of PDE. The analysis shows that the regular finite element spaces with piecewise linear polynomials can be chosen to represent the H and the conducted electric density J. The error of the numerical results in H-1 norm should be bounded by Ch.