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- W2085206837 abstract "We consider some elliptic boundary value problems in a self‐similar ramified domain of mathbb{R}^2 with a fractal boundary with Laplace’s equation and nonhomogeneous Neumann boundary conditions. The goal is to approximate the restriction of the solutions to subdomains obtained by stopping the geometric construction after a finite number of steps. For this, we propose a multiscale strategy based on transparent boundary conditions and on a wavelet expansion of the Neumann datum. A self‐similar finite element method is proposed and tested." @default.
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- W2085206837 date "2006-01-01" @default.
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- W2085206837 title "A Multiscale Numerical Method for Poisson Problems in Some Ramified Domains with a Fractal Boundary" @default.
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- W2085206837 doi "https://doi.org/10.1137/05064583x" @default.
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