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

Resumen

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.

Autores: Muga, I. , Van der Zee, K.

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Tipo de publicación: ISI

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URL de la publicación: https://arxiv.org/abs/1511.04400