First-Order System Least Squares for Second-Order Partial Differential Equations: Part II
First-Order System Least Squares for Second-Order Partial Differential Equations: Part II
This paper develops a least-squares functional that arises from recasting general second-order uniformly elliptic partial differential equations in $n=2$ or 3 dimensions as a system of first-order equations. In part I [Z. Cai, R. D. Lazarov, T. Manteuffel, and S. McCormick, SIAM J. Numer. Anal., 31 (1994), pp. 1785--1799] a …