Adaptivity and a posteriori error control for bifurcation problems I: the Bratu problem

This article is concerned with the numerical detection of bifurcation points of nonlinear partial differential equations as some parameter of interest is varied. In particular, we study in detail the numerical approximation of the Bratu problem, based on exploiting the symmetric version of the inter...

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Bibliographic Details
Main Authors: Cliffe, Andrew, Hall, Edward, Houston, Paul, Phipps, Eric T., Salinger, Andrew G.
Format: Article
Published: Global Science 2010
Online Access:https://eprints.nottingham.ac.uk/1099/