An efficient p-multigrid method is developed to solve the algebraic systems which result from the approximation of elliptic problems with the so-called FeketeGauss Spectral Element Method,which makes use of the Fekete...An efficient p-multigrid method is developed to solve the algebraic systems which result from the approximation of elliptic problems with the so-called FeketeGauss Spectral Element Method,which makes use of the Fekete points of the triangle as interpolation points and of the Gauss points as quadrature points.A multigrid strategy is defined by comparison of different prolongation/restriction operators and coarse grid algebraic systems.The efficiency and robustness of the approach,with respect to the type of boundary condition and to the structured/unstructured nature of the mesh,are highlighted through numerical examples.展开更多
This paper presents a systematic method to derive Beam Propagation Models for optical waveguides.The technique is based on the use of the symbolic calculus rules for pseudodifferential operators.The cases of straight ...This paper presents a systematic method to derive Beam Propagation Models for optical waveguides.The technique is based on the use of the symbolic calculus rules for pseudodifferential operators.The cases of straight and bent optical waveguides are successively considered.展开更多
文摘An efficient p-multigrid method is developed to solve the algebraic systems which result from the approximation of elliptic problems with the so-called FeketeGauss Spectral Element Method,which makes use of the Fekete points of the triangle as interpolation points and of the Gauss points as quadrature points.A multigrid strategy is defined by comparison of different prolongation/restriction operators and coarse grid algebraic systems.The efficiency and robustness of the approach,with respect to the type of boundary condition and to the structured/unstructured nature of the mesh,are highlighted through numerical examples.
文摘This paper presents a systematic method to derive Beam Propagation Models for optical waveguides.The technique is based on the use of the symbolic calculus rules for pseudodifferential operators.The cases of straight and bent optical waveguides are successively considered.
