2026-04-18T00:19:34Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/810112026-01-28T02:01:42Zcom_2072_1033col_2072_452950

00925njm 22002777a 4500 dc Badia, Santiago author Codina, Ramon author Planas Badenas, Ramon author 2015-11 The final publication is available at Springer via http://dx.doi.org/10.1007/s11831-014-9129-5 In this work, we analyze a recently proposed stabilized finite element formulation for the approximation of the resistive magnetohydrodynamics equations. The novelty of this formulation with respect to existing ones is the fact that it always converges to the physical solution, even when it is singular. We have performed a detailed stability and convergence analysis of the formulation in a simplified setting. From the convergence analysis, we infer that a particular type of meshes with a macro-element structure is needed, which can be easily obtained after a straight modification of any original mesh. Peer Reviewed Postprint (published version) Àrees temàtiques de la UPC::Física::Física de fluids Magnetohydrodynamics Magnetohydrodynamics Finite elements Singular solutions Stabilized finite element methods MAXWELL PROBLEM WEIGHTED REGULARIZATION MAGNETO-HYDRODYNAMICS RESISTIVE MHD APPROXIMATION EQUATIONS STATIONARY ALGORITHMS SUBSCALES OPERATOR Magnetohidrodinàmica Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics