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We study the discretization accuracy for first-order system least squares (FOSLS) applied to Poisson's equation as a model problem. The FOSLS formulation is based on an H1 elliptic bilinear form ℱ. Since the order of convergence of the discretization in the L2 and H1 norms depends on the regularity of ℱ, we examine this property in detail. We then use these results together with an Aubin-Nitsche bound to develop improved discretization error estimates.
Published Online: 2003-06-01
Published in Print: 2003-06-01
Copyright 2003, Walter de Gruyter
