caa a22 4500 606210008 CHVBK 20210128101031.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00032-014-0230-x doi (NATIONALLICENCE)springer-10.1007/s00032-014-0230-x Varopoulos Nicolas 61, rue Raymond - Losserand, 75014, Paris, France aut The Discrete and Classical Dirichlet Problem: Part II [Elektronische Daten] [Nicolas Varopoulos] For any domain $${\Omega \subset \mathbb{R}^{p}}$$ Ω ⊂ 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 $${\|u-u_{d}\|_{\infty}}$$ ‖ u - u d ‖ ∞ . Springer Basel, 2014 Dirichlet Problem nationallicence harmonic functions nationallicence random walks nationallicence finite differences nationallicence Quasidiscs nationallicence Milan Journal of Mathematics Springer Basel 83/1(2015-06-01), 1-20 1424-9286 83:1<1 2015 83 32 https://doi.org/10.1007/s00032-014-0230-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00032-014-0230-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Varopoulos Nicolas 61, rue Raymond - Losserand, 75014, Paris, France aut NATIONALLICENCE 773 0- Milan Journal of Mathematics Springer Basel 83/1(2015-06-01), 1-20 1424-9286 83:1<1 2015 83 32