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.
Kung-Ching, Heat flow and boundary value problem for harmonic maps, Annales de l’I.H.P
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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.