Results 51 to 60 of about 550,253 (159)

Bulk‐Surface Coupled PDE With an Open Boundary

Studies in Applied Mathematics, Volume 157, Issue 2, August 2026.
ABSTRACT We study a bulk‐surface coupled Laplace system involving an embedded open boundary. The problem is reformulated as an integro‐differential equation using boundary integral representations, for which we establish existence and uniqueness of the solution.
Charles L. Epstein, Yoichiro Mori, Han Zhou   +2 more
wiley   +1 more source

Laplace–Beltrami Operator on Digital Surfaces

, 2019
International audienceThis article presents a novel discretization of the Laplace–Beltrami operator on digital surfaces.We adapt an existing convolution technique proposed by Belkin et al. [5] for triangular meshes to topological border of subsets of Z n.
Roussillon, Tristan, Coeurjolly, David, Caissard, Thomas, Lachaud, Jacques-Olivier   +3 more
core   +1 more source

Singular integrals of the compositions of Laplace-Beltrami and Green's operators

Journal of Inequalities and Applications, 2011
We establish the Poincaré-type inequalities for the composition of the Laplace-Beltrami operator and the Green's operator applied to the solutions of the non-homogeneous A-harmonic equation in the John domain.
Ding Shusen, Fang Ru
doaj  

Bone Shape Feature Differences in Single and Recurrent Patellar Dislocations via Statistical Shape Modeling

Journal of Orthopaedic Research, Volume 44, Issue 7, July 2026.
ABSTRACT This study aims to develop MRI‐based 3D statistical shape models for patellar dislocation patients and investigate bone shape features that distinguish between single and recurrent dislocation populations, as well as control and patellar dislocation populations.
Mingrui Yang, John J. Elias, Mei Li, Jin Ma, Ceylan Colak, Carl S. Winalski, Lutul Farrow, Xiaojuan Li   +7 more
wiley   +1 more source

A graph discretization of the Laplace-Beltrami operator [PDF]

, 2013
We show that eigenvalues and eigenfunctions of the Laplace–Beltrami operator on a Riemannian manifold are approximated by eigenvalues and eigenvectors of a (suitably weighted) graph Laplace operator of a proximity graph on an epsilon ...
Sergei Ivanov, Dmitri Burago, Kurylev, Y, Ivanov, S, Yaroslav Kurylev, Burago, D   +5 more
core  

Laplace-Beltrami spectra.

, 2017
Mindboggle computes a Laplace-Beltrami spectrum for each feature (gyrus, sulcus, etc.), which relates to its intrinsic geometry, after Reuter et al.’s “Shape-DNA” method [106–108].
Elias Chaibub Neto (42416), Arno Klein (12404), Forrest S. Bao (3775153), Martin Reuter (361436), Joachim Giard (3775156), Yrjö Häme (3775150), Noah Lee (3775144), Anisha Keshavan (3775138), Satrajit S. Ghosh (314950), Eliezer Stavsky (3775141), Brian Rossa (3775147)   +10 more
core   +1 more source

Investigating Helical Hypersurfaces Within 7-Dimensional Euclidean Space

Journal of Mathematics
Differential geometry of a kind of helical hypersurface family that depends on six parameters within the seven-dimensional Euclidean space is explored.
Erhan Güler
doaj   +1 more source

A Physics-Informed Graph Neural Network for Computing Laplace–Beltrami Eigenfunctions on Manifolds

IEEE Access
Eigenfunctions and the spectrum of the Laplace-Beltrami operator are fundamental tools in geometry processing, providing a robust framework for analyzing complex geometries.
Damiana Lazzaro, Serena Morigi, Paolo Zuzolo   +2 more
doaj   +1 more source

Surface‐guided analysis of breast shape changes during postoperative radiotherapy by using a functional map framework

Medical Physics, Volume 53, Issue 7, July 2026.
Abstract BackgroundWhile positioning errors during radiotherapy are increasingly well‐characterized and accounted for in the Planning Target Volume (PTV), little is known about the shape and volume changes of the breast in the course of radiotherapy. Yet they represent an unknown factor that may impact treatment effectiveness, highlighting the need to ...
Pierre Galmiche, Hyewon Seo, Yvan Pin, Philippe Meyer, Georges Noël, Michel De Mathelin   +5 more
wiley   +1 more source

Rotational Surfaces in Terms of Coordinate Finite Chen II-Type

Pan-American Journal of Mathematics
In this study, we first establish several formulae according to the first and second Beltrami operators. We discuss the class of surfaces of revolution in the 3-dimensional Euclidean space E3 without parabolic points, in which the position vector X ...
Hamza Alzaareer, Hassan Al-Zoubi
doaj   +1 more source