Partitioned implicit Runge-Kutta timesteppers for micromagnetics with eddy currents
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Our research concerns the numerical solution of the Landau-Lifschitz-Gilbert Equation coupled with the Eddy Currents Equation. We construct a partitioned implicit Runge-Kutta timestepper with one component being L-stable and the other being quadratic invariant-preserving. Mixed (Nedelec, Vector Lagrange) finite elements are employed for spatial discretization. We discuss using the resulting scheme for simulations as well as validation tests and error estimates. Remarks on software implementation are provided.