A weak discrete maximum principle for hp-FEM

In this paper, we prove a new discrete maximum principle (DMP) for the one-dimensional Poisson equation discretized by the hp-FEM. While the DMP for piecewise-linear elements is a classical result from the 1970s, no extensions to hp-FEM are available to the present day. Due to a negative result by H...

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Bibliographic Details
Main Authors: Šolín, P, Vejchodský, T
Format: Journal article
Published: 2007