Journal of Numerical Mathematics
Editor-in-Chief: Hoppe, Ronald H. W. / Kuznetsov, Yuri
Managing Editor: Olshanskii, Maxim
Editorial Board: Benzi, Michele / Brenner, Susanne C. / Carstensen, Carsten / Dryja, M. / Feistauer, Miloslav / Glowinski, R. / Lazarov, Raytcho / Nataf, Frédéric / Neittaanmaki, P. / Bonito, Andrea / Quarteroni, Alfio / Guzman, Johnny / Rannacher, Rolf / Repin, Sergey I. / Shi, Zhong-ci / Tyrtyshnikov, Eugene E. / Zou, Jun / Simoncini, Valeria / Reusken, Arnold
IMPACT FACTOR 2018: 3.107
CiteScore 2018: 2.43
SCImago Journal Rank (SJR) 2018: 1.252
Source Normalized Impact per Paper (SNIP) 2018: 1.618
Mathematical Citation Quotient (MCQ) 2017: 1.68
Improved discretization error estimates for first-order system least squares
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 H 1 elliptic bilinear form ℱ. Since the order of convergence of the discretization in the L 2 and H 1 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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