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First-order system least squares for second-order partial differential equations. I. (English) Zbl 0813.65119
Second-order equations are reformulated as a least squares problem for an equivalent first-order system. The ellipticity and convergence of the finite element method are proved.
Reviewer: I.Evzerov (Kiev)

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
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