Plenary lecture 5: recent developments in the von Mises transformation and its applications in the computational sciences

The past few decades have witnessed a number of advances in the computational von Mises. These include the introduction of a time-dependent form of the coordinates; the introduction of techniques to handle the infinite Jacobian of transformation (which arises when a no-slip boundary condition is used); and the introduction of the multiple von Mises transformation that is suitable for the study of multiphase flow. In this work, we present analysis of the von Mises transformation and its computational complexities, and report on its recent developments.

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