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math.NA2025
High order interpolation of magnetic fields with vector potential reconstruction for particle simulations
Oleksii Beznosov, Jesus Bonilla, Xianzhu Tang +1
We propose a method for interpolating divergence-free continuous magnetic fields via vector potential reconstruction using Hermite interpolation, which ensures high-order continuit…
math.NA2020
Hermite-Discontinuous Galerkin Overset Grid Methods for the Scalar Wave Equation
Oleksii Beznosov, Daniel Appelö
We present high order accurate numerical methods for the wave equation that combines efficient Hermite methods with eometrically flexible discontinuous Galerkin methods by using ov…