In this letter, discrete complex image method is employed to compute the Green's functions in the spatial domain, which improves the speed of evaluating the impedance matrix.The triangle vector basis function--RWG...In this letter, discrete complex image method is employed to compute the Green's functions in the spatial domain, which improves the speed of evaluating the impedance matrix.The triangle vector basis function--RWG, is used to simulate the current distribution in order to compute the scattering properties of arbitrary shape microstrip patch without the staircase approximation. The numerical result shows the validity of the proposed method.展开更多
A unified process for the construction of hierarchical conforming bases on a range of element types is proposed based on an ab initio preservation of the underlying cohomology.This process supports not only the most c...A unified process for the construction of hierarchical conforming bases on a range of element types is proposed based on an ab initio preservation of the underlying cohomology.This process supports not only the most common simplicial element types,as are now well known,but is generalized to squares,hexahedra,prisms and importantly pyramids.Whilst these latter cases have received(to varying degrees)attention in the literature,their foundation is less well developed than for the simplicial case.The generalization discussed in this paper is effected by recourse to basic ideas from algebraic topology(differential forms,homology,cohomology,etc)and as such extends the fundamental theoretical framework established by the work of Hiptmair[16-18]and Arnold et al.[4]for simplices.The process of forming hierarchical bases involves a recursive orthogonalization and it is shown that the resulting finite element mass,quasi-stiffness and composite matrices exhibit exponential or better growth in condition number.展开更多
文摘In this letter, discrete complex image method is employed to compute the Green's functions in the spatial domain, which improves the speed of evaluating the impedance matrix.The triangle vector basis function--RWG, is used to simulate the current distribution in order to compute the scattering properties of arbitrary shape microstrip patch without the staircase approximation. The numerical result shows the validity of the proposed method.
文摘A unified process for the construction of hierarchical conforming bases on a range of element types is proposed based on an ab initio preservation of the underlying cohomology.This process supports not only the most common simplicial element types,as are now well known,but is generalized to squares,hexahedra,prisms and importantly pyramids.Whilst these latter cases have received(to varying degrees)attention in the literature,their foundation is less well developed than for the simplicial case.The generalization discussed in this paper is effected by recourse to basic ideas from algebraic topology(differential forms,homology,cohomology,etc)and as such extends the fundamental theoretical framework established by the work of Hiptmair[16-18]and Arnold et al.[4]for simplices.The process of forming hierarchical bases involves a recursive orthogonalization and it is shown that the resulting finite element mass,quasi-stiffness and composite matrices exhibit exponential or better growth in condition number.
