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Edelvik, Fredrik; Ledfelt, Gunnar

doi:10.1023/a:1007625629485

Cited by 16 publications

(1 citation statement)

References 11 publications

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“…A stable, time-domain (TD), DD scheme for Maxwell's equations was proposed in [5,6] and further verified in [7]. This method uses the Yee scheme [8] on the structured FD part of the mesh, and finite elements, possessing edge elements, on the unstructured part.…”

Section: Introductionmentioning

confidence: 99%

Stability and Convergence Analysis of a Domain Decomposition FE/FD Method for Maxwell’s Equations in the Time Domain

Asadzadeh

Beilina

2022

Algorithms

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Stability and convergence analyses for the domain decomposition finite element/finite difference (FE/FD) method are presented. The analyses are developed for a semi-discrete finite element scheme for time-dependent Maxwell’s equations. The explicit finite element schemes in different settings of the spatial domain are constructed and a domain decomposition algorithm is formulated. Several numerical examples validate convergence rates obtained in the theoretical studies.

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Section: Introductionmentioning

confidence: 99%

Stability and Convergence Analysis of a Domain Decomposition FE/FD Method for Maxwell’s Equations in the Time Domain

Asadzadeh

Beilina

2022

Algorithms

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A comparison of time‐domain hybrid solvers for complex scattering problems

Edelvik

Ledfelt

2002

Int J Numerical Modelling

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SUMMARYIn this paper the accuracy, efficiency and stability of two hybrid solvers are compared to FDTD in several complex scattering cases. The explicit hybrid solver, FD-FV, combines an unstructured FVTD solver with FDTD, and the explicit-implicit solver, FD-FE, combines an unstructured FETD solver with FDTD.The results show that the two hybrid solvers are much more efficient than FDTD for complex objects where a Cartesian grid is not able to capture the geometry properly. Furthermore, they show that the FD-FE solver is a better choice than the FD-FV solver. Mainly because it is stable as long as the time step satisfies the CFL condition in the FDTD region, while the FD-FV solver may suffer from late time instabilities. But the FD-FE solver is also more efficient since the iterative method used to solve the matrixvector system arising in FETD converges fast and the FVTD solver is heavily penalized by having to take shorter time steps to satisfy its CFL condition.

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Complex Computational Electromagnetics using Hybridisation Techniques

Abd‐Alhameed

Excell

Advances in Information Technologies for Electromagnetics

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Untitled

Cited by 16 publications

References 11 publications

Stability and Convergence Analysis of a Domain Decomposition FE/FD Method for Maxwell’s Equations in the Time Domain

Stability and Convergence Analysis of a Domain Decomposition FE/FD Method for Maxwell’s Equations in the Time Domain

A comparison of time‐domain hybrid solvers for complex scattering problems

Complex Computational Electromagnetics using Hybridisation Techniques

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