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Finite element method (FEM) modeling was used in conjunction with micromagnetic media simulations to investigate new write heads for shingled recording targeting 2 terabit per square inch (Tbit/in2) and above on conventional continuous media. In order to obtain higher recording densities, an asymmetric main pole yoke, corner shields, and an ultimate MR read head were investigated. The validity of a FEM model solving Maxwell's equations (Maxwell FEM) was investigated and compared with a Landau-Lifshitz-Gilbert (LLG) micromagnetic model. It was found that the magnetostatic recording field obtained by Maxwell FEM and the quasi-static field obtained by micromagnetic calculation were in good agreement provided the micromagnetic mesh quality was good. It was also found that the dynamic recording field closely followed a driving current of up to 1.0 GHz. Finally, the required medium signal-to-noise ratio (SNR) was considered.