A least‐squares finite element method for first‐order systems describing two‐point boundary‐value problems is constructed. Comparison studies are made with the corresponding mixed Galerkin formulation for the same system. Numerical experiments on representative test problems reveal that the least‐squares method has superior convergence behaviour to the mixed method. Some superconvergence properties of the least‐squares method are identified.
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Carey et al. (1989) studied this question.
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