The authors study the convergence of the solution of the fully discrete mixed finite element scheme related to the Cahn-Hilliard equation u t +Δ(εΔu-ε -1 f(u))=0 to the solution of the respective Hele-Shaw problem.
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%0 Journal Article
%1 Feng2005Numerical
%A Feng, Xiaobing
%A Prohl, Andreas
%D 2005
%J Interfaces and Free Boundaries
%K 35q35-pdes-in-connection-with-fluid-mechanics 76d27-other-free-boundary-flows-hele-shaw-flows 76m10-finite-element-methods-in-fluid-mechanics cahn-hilliard
%P 1--28
%R 10.4171/ifb/111
%T Numerical Analysis of the Cahn--Hilliard Equation and Approximation for the Hele--Shaw Problem
%U http://dx.doi.org/10.4171/ifb/111
%X The authors study the convergence of the solution of the fully discrete mixed finite element scheme related to the Cahn-Hilliard equation u t +Δ(εΔu-ε -1 f(u))=0 to the solution of the respective Hele-Shaw problem.
@article{Feng2005Numerical,
abstract = {{The authors study the convergence of the solution of the fully discrete mixed finite element scheme related to the Cahn-Hilliard equation u t +Δ(εΔu-ε -1 f(u))=0 to the solution of the respective Hele-Shaw problem.}},
added-at = {2019-03-01T00:11:50.000+0100},
author = {Feng, Xiaobing and Prohl, Andreas},
biburl = {https://www.bibsonomy.org/bibtex/2376ba543f06c2261911fb26f63c4a709/gdmcbain},
citeulike-article-id = {14616424},
citeulike-linkout-0 = {http://dx.doi.org/10.4171/ifb/111},
doi = {10.4171/ifb/111},
interhash = {e374465581f71340c822e07fcac12571},
intrahash = {376ba543f06c2261911fb26f63c4a709},
issn = {1463-9963},
journal = {Interfaces and Free Boundaries},
keywords = {35q35-pdes-in-connection-with-fluid-mechanics 76d27-other-free-boundary-flows-hele-shaw-flows 76m10-finite-element-methods-in-fluid-mechanics cahn-hilliard},
pages = {1--28},
posted-at = {2018-07-20 04:31:00},
priority = {5},
timestamp = {2019-03-01T00:11:50.000+0100},
title = {Numerical Analysis of the {C}ahn--{H}illiard Equation and Approximation for the {H}ele--{S}haw Problem},
url = {http://dx.doi.org/10.4171/ifb/111},
year = 2005
}