First-order system least squares for second-order partial differential equations: Part I
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This paper develops ellipticity estimates and discretization error bounds for elliptic equations (with lower-order terms) that are reformulated as a least-squares problem for an equivalent first-order system. The main result is the proof of ellipticity, which is used in a companion paper to establish optimal convergence of multiplicative and additive solvers of the discrete systems.
SIAM Journal on Numerical Analysis
author list (cited authors)
Cai, Z., Lazarov, R., Manteuffel, T. A., & McCormick, S. F.
complete list of authors
Cai, Z||Lazarov, R||Manteuffel, TA||McCormick, SF