首页|A Simple Embedding Method for the Laplace-Beltrami Eigenvalue Problem on Implicit Surfaces
A Simple Embedding Method for the Laplace-Beltrami Eigenvalue Problem on Implicit Surfaces
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We propose a simple embedding method for computing the eigenvalues and eigenfunctions of the Laplace-Beltrami operator on implicit surfaces.The approach follows an embed-ding approach for solving the surface eikonal equation.We replace the differential operator on the interface with a typical Cartesian differential operator in the surface neighborhood.Our proposed algorithm is easy to implement and efficient.We will give some two-and three-dimensional numerical examples to demonstrate the effectiveness of our proposed approach.
Laplace-Beltrami operatorLevel set methodImplicit representationEigenvaluesNumerical PDEs
Young Kyu Lee、Shingyu Leung
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Department of Mathematics,The Hong Kong University of Science and Technology,Clear Water Bay,Hong Kong,China
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