The fictitious domain method for the Stokes problem with Neumann/free-traction boundary condition

We consider the fictitious domain method for the Stokes problem with Neumann/free-traction boundary condition. For the penalty method, we obtain the error estimate of order O ( ϵ ) , where ϵ is the penalty parameter. Next, we apply the finite element method to the penalty problem using the P1/P1 ele...

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Vydané v:	Japan journal of industrial and applied mathematics Ročník 34; číslo 2; s. 585 - 610
Hlavný autor:	Zhou, Guanyu
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Tokyo Springer Japan 01.08.2017
Predmet:	Applications of Mathematics Computational Mathematics and Numerical Analysis Mathematics Mathematics and Statistics Original Paper Finite element method Stokes problem Error estimate Fictitious domain method Primary 65N85 Penalty method 65N30 34M40
ISSN:	0916-7005, 1868-937X
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