Publication:
Study of accuracy of a non-conformal finite element domain decomposition method

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2021-03-15
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Elsevier
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Abstract
Domain Decomposition Methods (DDM) have been widely used in the Computational Electromagnetics (CEM) community in the last years to tackle large-scale problems with Finite Element Methods (FEM). Non-conformal DDM is more flexible (e.g., independently created meshes for different parts of the problem under analysis are supported) but may introduce an approximation error. In this communication, a thorough study of the accuracy of the solutions when using non-conformal DDM is presented. Three experiments are analyzed showing the verification of the implementation and that the accuracy is acceptable with different numbers of discontinuities in the propagation direction and various aspect ratios of the mesh on the interface. The numerical results use three different shapes (tetrahedra, prisms, and hexahedra) and up to order three in the basis functions that approximate the field. These studies are relevant for the introduction of non-conformal DDM with real problems or scalable (in the parallel sense) implementation of adaptive mesh techniques.
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Electromagnetics, Domain decomposition methods (ddm), Finite element methods (fem)
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Amor-Martín, A., Garcı́a-Castillo, L., & Lee, J. (2021). Study of accuracy of a non-conformal finite element domain decomposition Method. Journal of Computational Physics, 429, 109989.