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Convergence of Inner Iterations Scheme of the Discrete Ordinate Method in Spherical Geometry
2007/12/12
In transport theory, the convergence of the inner iteration scheme to the spherical neutron transport equation has been an open problem. In this paper, the inner iteration for a positive step function...
The Coupling of Natural BEM and FEM for Three-Dimensional Exterior Problem with a Prolate Spherical Artificial Boundary
Natural boundary reduction Prolate spheroid Finite element Exterior harmonic problem The coupled method
2012/8/1
In this paper, based on the natural boundary reduction method, we discuss a coupled natural BEM and FEM for three-dimensional exterior problems. We express the arti痗ial boundary condition on the prola...
Discrete Laplace-Beltrami Operator on Sphere and Optimal Spherical Triangulations
Laplace-Beltrami operator Convergence Spherical triangulation, Truncation error
2012/7/31
In this paper we first modify a widely used discrete Laplace Beltrami operator proposed by Meyer et al over triangular surfaces, and then establish some convergence results for the modi痚d discrete Lap...