We present a novel technique for solving extension problems such as the extension velocity, by reformulating the problem into an elliptic differential equation. We introduce a novel discretization using an upwind flux without any additional stabilizat...
We present a novel technique for solving extension problems such as the extension velocity, by reformulating the problem into an elliptic differential equation. We introduce a novel discretization using an upwind flux without any additional stabilization. This leads to a triangular matrix structure, which can be solved using a marching algorithm and high‐order accuracy, even in the presence of singularities.
In contrast to common techniques, our method relies on solving an anisotropic diffusion problem, for which we present an upwind discretization. This facilitates the solution of the resulting linear systems using a marching algorithm and gives high‐order accuracy even in the presence of singularities.