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Author Creusé, Emmanuel ♦ Nicaise, Serge ♦ Tang, Zuqi ♦ Menach, Yvonnick Le ♦ Nemitz, Nicolas ♦ Piriou, Francis
Source CiteSeerX
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Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract Abstract. In this paper, we focus on an a posteriori residual-based error estimator for the T/Ω magnetodynamic harmonic formulation of the Maxwell system. Similarly to the A/ϕ formulation [7], the weak continuous and discrete formulations are established, and the well-posedness of both of them is addressed. Some useful analytical tools are derived. Among them, an ad-hoc Helmholtz decomposition for the T/Ω case is derived, which allows to pertinently split the error. Consequently, an a posteriori error estimator is obtained, which is proven to be reliable and locally efficient. Finally, numerical tests confirm the theoretical results. Key words. Maxwell equations, potential formulations, a posteriori estimators, finite element method. 1.
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article