Inverted finite elements for div-curl systems in the whole space

Abstract : We use inverted finite element method (IFEM) for computing three-dimensional vector potentials and for solving div-curl systems in the whole space . IFEM is substantially different from the existing approaches since it is a non truncature method which preserves the unboundness of the domain. After developping the method, we analyze its convergence in term of weighted norms. We then give some three-dimensional numerical results which demonstrate the efficiency and the accuracy of the method and confirm its convergence.
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Submitted on : Monday, July 1, 2019 - 11:36:31 AM
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Tahar Z. Boulmezaoud, Keltoum Kaliche, Nabil Kerdid. Inverted finite elements for div-curl systems in the whole space. Advances in Computational Mathematics, Springer Verlag, 2017, 43 (6), pp.1469-1489. ⟨10.1007/s10444-017-9532-1⟩. ⟨hal-02169448⟩

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