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Analysis of the Finite Element Method for the Laplace–Beltrami Equation on Surfaces with Regions of High Curvature Using Graded Meshes
(Springer New York LLC, 2017)
We derive error estimates for the piecewise linear finite element approximation of the Laplace–Beltrami operator on a bounded, orientable, (Formula presented.), surface without boundary on general shape regular meshes. As ...
Δ-PINNs: Physics-informed neural networks on complex geometries
(2024)
Physics-informed neural networks (PINNs) have demonstrated promise in solving forward and inverse problems involving partial differential equations. Despite recent progress on expanding the class of problems that can be ...
A formula for complex zonal polynomials of second orderA formula for complex zonal polynomials of second order
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2006)
AFEM for geometric PDE: The Laplace-Beltrami operator
(Springer, 2013)
We present several applications governed by geometric PDE, and their parametric finite element discretization, which might yield singular behavior. The success of such discretization hinges on an adequate variational ...
Obtenção dos Harmônicos Hiperesféricos em N Dimensões
(DFI - Departamento de Física – São Cristóvão - PresencialUniversidade Federal de Sergipe, 2020)
Sobre a aplicação da representação de Beltrami a solução da equação do movimento para os meios contínuos
(Universidade Federal do Rio de JaneiroBrasilInstituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de EngenhariaPrograma de Pós-Graduação em Engenharia MecânicaUFRJ, 2018)
Decomposition of the Laplace-Beltrami operator on riemannian manifolds
(Universidad Nacional de ColombiaBogotá - Ciencias - Maestría en Ciencias - MatemáticasDepartamento de MatemáticasFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2021)
The goal of this work is to study the geometric conditions required on a pseudo-Riemannian manifold M to guarantee the existence of solutions of a second order partial differential equation posed on M. We closely follow ...
Accidental Degeneracy of the Coulomb Interaction
(1967-01-01)
A treatment of the bound states for the hydrogen atom is given, based on the Sehrodinger equation in momentum representation. The work runs parallel to Fock's treatment of the integral equation in momentum space. The problem ...
A formula for complex zonal polynomials of second order
(2009-02-20)
A formula for complex zonal polynomials of second order is derived by solving aparticular partial differential equation.Keywords: Laplace-Beltrami operator, zonal polynomials, Hermitian matrix, Legendre’sdifferential equation.
A formula for complex zonal polynomials of second order
(2009-02-20)
A formula for complex zonal polynomials of second order is derived by solving aparticular partial differential equation.Keywords: Laplace-Beltrami operator, zonal polynomials, Hermitian matrix, Legendre’sdifferential equation.