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Article Dans Une Revue Mathematical Methods in the Applied Sciences Année : 2015

Helmholtz decomposition of vector fields with mixed boundary conditions and an application to a posteriori finite element error analysis of the Maxwell system

Résumé

This paper is devoted to the derivation of a Helmholtz decomposition of vector fields in the case of mixed boundary conditions imposed on the boundary of the domain. This particular decomposition allows to obtain a residual a posteriori error estimator for the approximation of magnetostatic problems given in the so-called A formulation, for which the reliability can be established. Numerical tests confirm the obtained theoretical predictions.
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Dates et versions

hal-00777690 , version 1 (17-01-2013)

Identifiants

Citer

Emmanuel Creusé, Serge Nicaise, Zuqi Tang. Helmholtz decomposition of vector fields with mixed boundary conditions and an application to a posteriori finite element error analysis of the Maxwell system. Mathematical Methods in the Applied Sciences, 2015, 38 (4), pp.738-750. ⟨10.1002/mma.3104⟩. ⟨hal-00777690⟩
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