Topology optimization with geometrical feature constraints based on the partial differential equation system for geometrical features (Overhang constraints considering geometrical singularities in additive manufacturing)

Autor: Takayuki YAMADA, Jun MASAMUNE, Hiroshi TERAMOTO, Takahiro HASEBE, Hirotoshi KURODA

Publikováno v: Nihon Kikai Gakkai ronbunshu, Vol 85, Iss 877, Pp 19-00129-19-00129 (2019)

This paper aims to develop a scheme for geometrical feature constraints in topology optimization for Additive Manufacturing (AM) without support structures based on the Partial Differential Equation (PDE) of geometrical shape features. To begin with,

Externí odkaz: https://doaj.org/article/1cfdd077250048599d4e61aa3d5e0d06

Intrinsic Ultracontractivity for Domains in Negatively Curved Manifolds

Autor: Michiel van den Berg, Hiroaki Aikawa, Jun Masamune

Publikováno v: Aikawa, H, van den Berg, M & Masamune, J 2021, ' Intrinsic Ultracontractivity for Domains in Negatively Curved Manifold ', Computational Methods and Function Theory, vol. 21, pp. 797–824 . https://doi.org/10.1007/s40315-021-00402-8

Let $M$ be a complete, non-compact, connected Riemannian manifold with Ricci curvature bounded from below by a negative constant. A sufficient condition is obtained for open and connected sets $D$ in $M$ for which the corresponding Dirichlet heat sem

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9f124e53360b3675f7fc1b8c914624e
https://doi.org/10.1007/s40315-021-00402-8

H-Compactness of Elliptic Operators on Weighted Riemannian Manifolds

Autor: Helmer Hoppe, Jun Masamune, Stefan Neukamm

Publikováno v: Interdisciplinary Information Sciences. 25:161-191

In this paper we study the asymptotic behavior of second-order uniformly elliptic operators on weighted Riemannian manifolds. They naturally emerge when studying spectral properties of the Laplace-Beltrami operator on families of manifolds with rapid

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4357eb2060d4d65508ebe8b7dedfbbd2
https://doi.org/10.4036/iis.2019.b.03

Essential self-adjointness and the $L^2$-Liouville property

Autor: Radosław K. Wojciechowski, Bobo Hua, Jun Masamune

We discuss connections between the essential self-adjointness of a symmetric operator and the constancy of functions which are in the kernel of the adjoint of the operator. We then illustrate this relationship in the case of Laplacians on both manifo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6884205cba5c92a00addd854f8b49543

Parabolicity and stochastic completeness of manifolds in terms of the Green formula

Autor: Jun Masamune, Alexander Grigorʼyan

Publikováno v: Journal de Mathématiques Pures et Appliquées. 100:607-632

We present and prove new characterizations of parabolicity and stochastic completeness for a general weighted manifold M as well as the uniqueness of the Markov extensions of the Laplacian in terms of Greenʼs formula. Moreover, we study the relation

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::571a48f4e2db7bf8e691ceb2c76e1008
https://doi.org/10.1016/j.matpur.2013.01.015