A new adaptive local mesh refinement algorithm and its application on fourth order thin film flow problem

Authors:
Pengtao Sun;Robert D. Russell;Jinchao Xu
Affiliations:
Department of Mathematics, Simon Fraser University, USA;Department of Mathematics, Simon Fraser University, USA;Department of Mathematics, Simon Fraser University, USA
Venue:
Journal of Computational Physics
Year:
2007

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Abstract

A new adaptive local mesh refinement method is presented for thin film flow problems containing moving contact lines. Based on adaptation on an optimal interpolation error estimate in the L^p norm (1