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

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 Lp norm (1<p⩽∞) [L. Chen, P. Sun, J. Xu, Multilevel homotopic adaptive finite element methods for convection...

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Bibliographic Details
Published in:	Journal of computational physics Vol. 224; no. 2; pp. 1021 - 1048
Main Authors:	Sun, Pengtao, Russell, Robert D., Xu, Jinchao
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 10.06.2007 Elsevier
Subjects:	Adaptive mesh Computational techniques Exact sciences and technology Local refinement Mathematical methods in physics Mixed finite element method Moving contact lines Physics Thin film flow Adaptive mesh Mixed finite element method Local refinement Moving contact lines Thin film flow Degrees of freedom Difference scheme Partial differential equations Decomposition method Adaptive method Sun Convection Calculation methods Thin films Regularization method Finite element method Algorithms Numerical solution Optimal solution Optimal approximation Calculation Mesh method
ISSN:	0021-9991, 1090-2716
Online Access:	Get full text
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