Results 31 to 40 of about 550,301 (203)

Finite Element Approximation of Eigenvalues and Eigenfunctions of the Laplace-Beltrami Operator [PDF]

, 2020
The surface finite element method is an important tool for discretizing and solving elliptic partial differential equations on surfaces. Recently the surface finite element method has been used for computing approximate eigenvalues and eigenfunctions of ...
Owen, Justin Ian
core   +1 more source

On the projections of Laplacians under Riemannian submersions

International Journal of Mathematics and Mathematical Sciences, 2001
We give a condition on Riemannian submersions from a Riemannian manifold M to a Riemannian manifold N which will ensure that it induces a differential operator on N from the Laplace-Beltrami operator on M.
Huiling Le
doaj   +1 more source

Topology-controlled Laplace–Beltrami operator on point clouds based on persistent homology

Graphical Models
Computing the Laplace–Beltrami operator on point clouds is essential for tasks such as smoothing and shape analysis. Unlike meshes, determining the Laplace–Beltrami operator on point clouds requires establishing neighbors for each point.
Ao Zhang, Qing Fang, Peng Zhou, Xiao-Ming Fu   +3 more
doaj   +1 more source

Some Remarks on Harmonic Projection Operators on Spheres

Bruno Pini Mathematical Analysis Seminar, 2016
We give a survey of recent works concerning the mapping properties of joint harmonic projection operators, mapping the space of square integrable functions on complex and quaternionic spheres onto the eigenspaces of the Laplace-Beltrami operator and of a
Valentina Casarino
doaj   +1 more source

Well-posed problems for the Laplace-Beltrami operator on a stratified set consisting of punctured circles and segments

Қарағанды университетінің хабаршысы. Математика сериясы
The Laplace-Beltrami operator is studied on a stratified set consisting of two punctured circles and an interval. A complete description of all well-posed boundary value problems for the Laplace-Beltrami operator on such a set is given.
B.E. Kanguzhin, M.O. Mustafina, O.A. Kaiyrbek   +2 more
doaj   +1 more source

One Can Hear the Area of a Torus by Hearing the Eigenvalues of the Polyharmonic Operators

Demonstratio Mathematica, 2014
This paper considers the asymptotic properties for the spectrum of a positive integer power l of the Laplace-Beltrami operator acting on an n-dimensional torus T.
Guo Shunzi, Jin Jinyun
doaj   +1 more source

Bootstrapping closed hyperbolic surfaces

Journal of High Energy Physics, 2022
The eigenvalues of the Laplace-Beltrami operator and the integrals of products of eigenfunctions and holomorphic s-differentials satisfy certain consistency conditions on closed hyperbolic surfaces.
James Bonifacio
doaj   +1 more source

On the Generalised Transfer Operators of the Farey Map with Complex Temperature

Mathematics, 2022
We consider the problem of showing that 1 is an eigenvalue for a family of generalised transfer operators of the Farey map. This is an important problem in the thermodynamic formalism approach to dynamical systems, which in this particular case is ...
Claudio Bonanno
doaj   +1 more source

A Physics-Informed Neural Network Framework for PDEs on 3D Surfaces: Time Independent Problems

IEEE Access, 2020
Partial differential equations (PDEs) on surfaces are ubiquitous in all the nature science. Many traditional mathematical methods has been developed to solve surfaces PDEs.
Zhiwei Fang, Justin Zhan
doaj   +1 more source

A Physics-Based Estimation of Mean Curvature Normal Vector for Triangulated Surfaces

Pracì Mìžnarodnogo Geometričnogo Centru, 2019
In this note, we derive an approximation for the mean curvature normal vector on vertices of triangulated surface meshes from the Young-Laplace equation and the force balance principle.
Sudip Kumar Das, Mirza Cenanovic, Junfeng Zhang   +2 more
doaj   +1 more source