Finite element method to solve the spectral problem for arbitrary self-adjoint extensions of the Laplace-Beltrami operator on manifolds with a boundary.
Alberto López-YelaJuan Manue Pérez-PardoPublished in: J. Comput. Phys. (2017)
Keyphrases
- laplace beltrami
- finite element method
- spectral analysis
- riemannian manifolds
- differential operators
- shape analysis
- graph laplacian
- euclidean space
- finite element
- laplacian eigenmaps
- point cloud
- basis functions
- numerical simulations
- heat kernel
- vector field
- d mesh
- manifold learning
- boundary conditions
- complex shapes
- numerical solution
- manifold structure
- random walk
- object boundaries
- embedding space
- vector space
- partial differential equations
- shape descriptors
- high order
- zero crossing
- numerical methods
- geometric structure
- low dimensional
- dimensionality reduction
- high dimensional
- feature space