An unconditionally stable parallel finite element time domain algorithm

Navsariwala, U.; Gedney, Stephen D.

doi:10.1109/aps.1996.549554

Cited by 11 publications

(11 citation statements)

References 7 publications

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“…e dt: W i is the vector basis function [21] associated with edge i, and e i is the unknown coefficient, which is the circulation of the electric field along the edge i. For time discretization, the Newmark-beta scheme is used [3,5]. Therefore, Eq.…”

Section: Continuous Boundary Value Problemmentioning

confidence: 99%

“…Recently, the finite-element time-domain (FETD) algorithm has been introduced for the analysis of time-dependent electromagnetic field [1][2][3][4][5][6][7][8][9][10]. This algorithm has the advantage of higher accuracy and lower dispersion errors when compared with the finite-difference time-domain (FDTD) method [11].…”

Section: Introductionmentioning

confidence: 99%

“…The other discretizes the second-order vector wave equation, also known as the curl-curl equation, obtained by eliminating one of the field variables from Maxwell's equations [1]. These solvers can be easily formulated into unconditionally stable scheme, which means that the time step is not constrained by a stability criterion [3][4][5][6][7][8]10]. For the advantage of unconditionally stable scheme, the implicit methods for the FETD to solve the second-order vector wave equation are popularly used.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Mechanical and thermal expansion properties of a participate filled polymer

Brassell

Wischmann

1974

J Mater Sci

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Section: Continuous Boundary Value Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Mechanical and thermal expansion properties of a participate filled polymer

Brassell

Wischmann

1974

J Mater Sci

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“…Present generation high-performance parallel computers can provide these computational resources, but these resources can not be fully exploited using traditional sequential algorithms for solving matrix equations which can be highly inefficient on parallel computers. As a result, the parallel efficiency and computation time suffer [2]. The finite-element tearing and interconnecting (FETI) algorithm presents an alternative method to solve the matrix equation.…”

Section: Introductionmentioning

confidence: 99%

Finite-element time-domain method combined with finite-element tearing and interconnecting algorithm and its application for electromagnetic band gap structure

Chen

Yang

et al. 2008

2008 Asia-Pacific Microwave Conference

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“…Therefore, an implicit FETD often has to resort to iterative solvers for large problems to avoid excessive memory usage. An alternative approach to solving this problem is to divide the original computation domain into several smaller subdomains [2,4].…”

Section: Introductionmentioning

confidence: 99%

Time-Domain Analysis of Photonic Band Gap Structure by a Finite-Element Tearing and Interconnecting Algorithm

Yongchang

et al. 2008

2008 IEEE MTT-S International Microwave Workshop Series on Art of Miniaturizing RF and Microwave Passive Components

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Based on the finite element approximation and nonoverlapping domain decomposition, an efficient parallel algorithm of the finite-element time-domain method is presented for the analysis of the photonic band gap structure. The unconditionally stable implicit Newmark-/J scheme is used in the time domain finite-element tearing and interconnecting algorithm. Through the use of Lagrange multipliers, the field continuity is enforced explicitly along the edges shared by more than two subdomains and implicitly at the interfaces between two subdomains. In this way, the direct sparse solver is used for each subdomain system and the large global problem is reduced to a much smaller interface problem. Thus, the final system matrix equation is solved by Krylov subspace solvers and a Neumann boundary condition is obtained at the interfaces between all the subdomains. Therefore, the fields inside each subdomain are then calculated by this Neumann boundary condition. Numerical results demonstrate that our proposed method is extremely efficient for the analysis of the photonic band gap structures.

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An unconditionally stable parallel finite element time domain algorithm

Cited by 11 publications

References 7 publications

Mechanical and thermal expansion properties of a participate filled polymer

Mechanical and thermal expansion properties of a participate filled polymer

Finite-element time-domain method combined with finite-element tearing and interconnecting algorithm and its application for electromagnetic band gap structure

Time-Domain Analysis of Photonic Band Gap Structure by a Finite-Element Tearing and Interconnecting Algorithm

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