We construct finite element methods for the incompressible magnetohydrodynamics (MHD) system that precisely preserve the magnetic and cross helicity, the energy law and the magnetic Gauss law at the discrete level. The variables are discretized as discrete differential forms in a de Rham complex. We present numerical tests to show the performance of the algorithm.

中文翻译：

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不可压缩MHD系统的螺旋保守性有限元离散化

我们为不可压缩的磁流体动力学（MHD）系统构造了有限元方法，该方法在离散级别上精确地保留了磁和交叉螺旋，能量定律和磁高斯定律。变量在de Rham复数中离散为离散微分形式。我们目前进行数值测试，以显示该算法的性能。