Fast and Efficient Algorithms in Computational Electromagnetics

By Weng Cho Chew, Eric Michielssen, Jiming Song, Jianming Jin. 2001

1,878 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d32d5a53fb29232ef4a86c4bd619a9beea22c2f9

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Citations in the corpus

Singularity extraction technique for integral equation methods with higher order basis functions on plane triangles and tetrahedra (2003, background): “The elds due to the currents in V , either surface currents JS ; MS or volume currents JV ; MV , can be written outside V as follows [10]: E(r) = −1 i! (∇∇·+ k(2)) ∫”
A Discontinuous Galerkin Surface Integral Equation Method for Electromagnetic Wave Scattering From Nonpenetrable Targets (2013, methodology): “The matrix vector multiplication is expedited via the multilevel fast multipole method [32].”
Multiscale Simulation of Complex Structures Using Equivalence Principle Algorithm With High-Order Field Point Sampling Scheme (2008, methodology): “We can write the patterns in a similar form as [24] and [25].”
Surface Integral Equation Method for General Composite Metallic and Dielectric Structures with Junctions (2005, background): “This approach, however, becomes complicated with multiple metallic and dielectric junctions and in [17] they are not considered.”
Ray tracing with PO/PTD for RCS modeling of large complex objects (2006, unknown): “However, even with the use of fast integral methods [2], the computation and memory efforts are immense at higher frequencies usually required for large bandwidth applications.”
Hierarchical matrix techniques for low- and high-frequency Helmholtz problems (2007, unknown): “For a detailed derivation see [15].”
A review on array mutual coupling analysis (2011, methodology): “An alternative option is the use of fast multipole approaches [Chew et al., 2001].”
Integral Equation Based Domain Decomposition Method for Solving Electromagnetic Wave Scattering From Non-Penetrable Objects (2011, background): “Detailed description of the MLFMA can be found in [1] and [5], and it will not be repeated here.”
Fast Full-Wave Surface Integral Equation Solver for Multiscale Structure Modeling (2009, background): “It is very versatile for geometry handling, and has solved large scale problems with the advent of fast algorithms [3].”
O(1) Computation of Legendre Polynomials and Gauss-Legendre Nodes and Weights for Parallel Computing (2012, unknown): “Sums of the type (1.3), where the coefficients al are not necessarily related to the MLFMA, will be called Legendre series throughout this paper.”
Well-conditioned Muller formulation for electromagnetic scattering by dielectric objects (2005, unknown): “, in the context of fast multipole methods [4], ill-conditioned matrices lead to slowly converging iterative solutions.”