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math.NA2019★ 31 cited
Improving convergence of volume penalised fluid-solid interactions
Eric W. Hester, Geoffrey M. Vasil, Keaton J. Burns
We analyse and improve the volume-penalty method, a simple and versatile way to model objects in fluid flows. The volume-penalty method is a kind of fictitious-domain method that a…
math.NA2019
A sparse spectral method on triangles
Sheehan Olver, Alex Townsend, Geoff Vasil
In this paper, we demonstrate that many of the computational tools for univariate orthogonal polynomials have analogues for a family of bivariate orthogonal polynomials on the tria…