Improved discretization error estimates for first-order system least squares
نویسندگان
چکیده
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.
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عنوان ژورنال:
- J. Num. Math.
دوره 11 شماره
صفحات -
تاریخ انتشار 2003