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arXiv:1511.04400 [math.NA]AbstractReferencesReviewsResources

Discretization of Linear Problems in Banach Spaces: Residual Minimization, Nonlinear Petrov-Galerkin, and Monotone Mixed Methods

Ignacio Muga, Kristoffer G. van der Zee

Published 2015-11-13Version 1

This work presents a comprehensive optimal-discretization theory for linear equations in Banach spaces. As part of our theory, a class of nonlinear Petrov-Galerkin projectors is studied, which are key in establishing optimal a priori error estimates involving constants depending on the geometry of the underlying Banach spaces.

Comments: 29 pages
Categories: math.NA
Subjects: 65J05, 65J10, 65N30
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