87 citations · 303 across the 21 of their papers we have counts for
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A Meshfree RBF-FD Constant along Normal Method for Solving PDEs on Surfaces
Víctor Bayona, Argyrios Petras, Cécile Piret +1
This paper introduces a novel meshfree methodology based on Radial Basis Function-Finite Difference (RBF-FD) approximations for the numerical solution of partial differential equat…
Simulation of the high Mach number motion for bubble collapse in a compressible Euler fluid using Basilisk
Daniels Krimans, Steven J. Ruuth, Seth Putterman
We examine an extreme case of experimentally realizable sonoluminescence, where spherical cavities have an initial radius that is to times their ambient radius and change…
A Meshfree Method for Eigenvalues of Differential Operators on Surfaces, Including Steklov Problems
Daniel R. Venn, Steven J. Ruuth
We present and study techniques for investigating the spectra of linear differential operators on surfaces and flat domains using symmetric meshfree methods: meshfree methods that…
Underdetermined Fourier Extensions for Surface Partial Differential Equations
Daniel R. Venn, Steven J. Ruuth
We analyze and test using Fourier extensions that minimize a Hilbert space norm for the purpose of solving partial differential equations (PDEs) on surfaces. In particular, we prov…