二维Maxwell方程组的混合有限元高精度近似

High Accuracy Approximation of Mixed Finite Element for 2-d Maxwell Equations

该文研究二维 Maxwell方程组的混合有限元高精度近似 .在均匀矩形网格上 ,采用一阶Nedelec混合元空间 ,有限元解经三次投影插值后 ,在 L2 范数意义下 ,其收敛于精确解的速度由 O(h2 )提高至 O(h4) .

High accuracy approximation of mixed finite element for 2 d Maxwell equations are studied in this paper. For the solution of mixed finite element of 2 d Maxwell equations, the \$L\+2\$ norm convergence rate can be increased from O(h\+2)to O(h\+4) by postprocessing if taking the first Nedelec finite element space on the uniform rectangular meshes.