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- W2095035360 abstract "In this paper, we analyze the convergence of the immersed boundary method as applied to a static Stokes flow problem. Using estimates obtained in [Y. Liu and Y. Mori, SIAM J. Numer. Anal., 50 (2012), pp. 2986--3015], we consider a problem in which a $d$-dimensional structure is immersed in an $n$-dimensional domain, and prove error estimates for both the pressure and the velocity field in the $L^p(1leq pleq infty)$ norm. One interesting consequence of our analysis is that the asymptotic error rates in the $L^1$ norm do not depend on either $d$ or $n$ and in the $L^p$ ($p>1$) norm they only depend on $n-d$. The resulting estimates are checked numerically for optimality." @default.
- W2095035360 created "2016-06-24" @default.
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- W2095035360 date "2014-01-01" @default.
- W2095035360 modified "2023-09-25" @default.
- W2095035360 title "$L^p$ Convergence of the Immersed Boundary Method for Stationary Stokes Problems" @default.
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- W2095035360 doi "https://doi.org/10.1137/130911329" @default.
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