The fictitious domain method with L2‐penalty for the Stokes problem with the Dirichlet boundary condition

We consider the fictitious domain method with L2‐penalty for the Stokes problem with the Dirichlet boundary condition. First, we investigate the error estimates for the penalty method at the continuous level. We obtain the convergence of order O ( ϵ 1 4 ) in H1‐norm for the velocity and in L2‐norm f...

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Vydané v:	Numerical methods for partial differential equations Ročník 34; číslo 3; s. 881 - 905
Hlavný autor:	Zhou, Guanyu
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York Wiley Subscription Services, Inc 01.05.2018
Predmet:	Boundary conditions Convergence Dirichlet problem Error analysis error estimate fictitious domain method Finite element method Parameter estimation Parameters penalty method Stokes problem Velocity
ISSN:	0749-159X, 1098-2426
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