A discrete isoperimetric inequality on lattices
type: Item
instance of: scholarly article
title: A discrete isoperimetric inequality on lattices
zbMATH Open document ID: 1326.35057
author: Nao Hamamuki
published in: Discrete \& Computational Geometry
publication date: 2014-10-29T00:00:00Z
Mathematics Subject Classification ID: 35B50
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 52B60
Mathematics Subject Classification ID: 65N22
zbMATH DE Number: 6362291
zbMATH Keywords: finite difference method
zbMATH Keywords: Poisson-Neumann problem
zbMATH Keywords: Aleksandrov-Bakelman-Pucci maximum principle
MaRDI profile type: Publication
full work available at URL: s00454-014-9617-2
OpenAlex ID: W2009612422
cites work: Q4326630
cites work: Discrete Isoperimetric-Type Inequalities
cites work: An inequality relating volume, area and number of lattice points of convex sets in \(n\)-dimensional Euclidean space
cites work: Isoperimetric inequalities for densities of lattice-periodic sets
cites work: Q4039749
cites work: Q4855688
cites work: Elliptic PDE's in probability and geometry: Symmetry and regularity of solutions
cites work: Q3160533
cites work: An Isoperimetric Problem on a Lattice
cites work: Elliptic partial differential equations of second order
cites work: Discrete Calculus
cites work: Gitterperiodische Punktmengen und Isoperimetrie
cites work: Q4331177
cites work: Linear Elliptic Difference Inequalities with Random Coefficients
cites work: Discrete Methods for Fully Nonlinear Elliptic Equations
cites work: On the discrete maximum principle for parabolic difference operators
cites work: Positive difference operators on general meshes
cites work: Evolving monotone difference operators on general space-time meshes
cites work: A note on the discrete Aleksandrov-Bakelman maximum principle
cites work: The isoperimetric inequality
cites work: Finite-difference solution of Poisson's equation in rectangles of arbitrary proportions
cites work: Two isoperimetric inequalities with lattice constraints
cites work: Direct solution of the discretized Poisson-Neumann problem on a domain composed of rectangles
cites work: Optimal Transport
cites work: A high-order fast direct solver for singular Poisson equations
DOI: 10.1007/S00454-014-9617-2
description: scientific article; zbMATH DE number 6362291