3 papers
cs.CG2024
Polygonal Sequence-driven Triangulation Validator: An Incremental Approach to 2D Triangulation Verification
Sora Sawai, Kazuaki Tanaka, Katsuhisa Ozaki +1
Two-dimensional Delaunay triangulation is a fundamental aspect of computational geometry. This paper presents a novel algorithm that is specifically designed to ensure the correctn…
math.FA2016
Estimation of Sobolev embedding constant on a domain dividable into bounded convex domains
Makoto Mizuguchi, Kazuaki Tanaka, Kouta Sekine +1
This paper is concerned with an explicit value of the embedding constant from to for a bounded domain , where $1\leq…
math.AP2014
Estimation of the Sobolev embedding constant on domains with minimally smooth boundary
Kazuaki Tanaka, Kouta Sekine, Makoto Mizuguchi +1
In this paper, we propose a method for estimating the Sobolev type embedding constant on a domain with minimally smooth boundary. We estimate the embedding constant by constructing…