Abstract
For any domain \({\Omega \subset \mathbb{R}^{p}}\) , we denote by u the solution of the Dirichlet Problem with data f at the boundary. Similarly, we denote by u d the solution that satisfies the average property on a discrete grid and the same boundary data. We give optimal estimates for the difference \({\|u-u_{d}\|_{\infty}}\) .
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Varopoulos, N.T. The Discrete and Classical Dirichlet Problem: Part II. Milan J. Math. 83, 1–20 (2015). https://doi.org/10.1007/s00032-014-0230-x
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DOI: https://doi.org/10.1007/s00032-014-0230-x