A QUADRATIC C0 INTERIOR PENALTY METHOD FOR THE QUA

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A QUADRATIC C0 INTERIOR PENALTY METHOD FOR THE QUA

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Abstract

This paper studies the C0 interior penalty method for a quad-curl problem arising from magnetohydrodynamics model on bounded polygons or polyhedrons. The well-posedness of the method is proved, and the error estimate is established. The method is shown to be efficient and accurate for solving the quad-curl problem.

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