Optimal-order discretization error bounds are derived for H1-conforming FEM plus semi-implicit Euler applied to the corotational harmonic map heat flow, using a discrete energy estimate and convexity property.
Lakshmanan, The fascinating world of the Landau-Lifshitz-Gilbert equation: an overview , Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 369 (2011), pp
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Error analysis for a Finite Element Discretization of a corotational harmonic map heat flow problem
Optimal-order discretization error bounds are derived for H1-conforming FEM plus semi-implicit Euler applied to the corotational harmonic map heat flow, using a discrete energy estimate and convexity property.