139 citations · 631 across the 46 of their papers we have counts for
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physics.comp-ph2014★ 36 cited
High order solution of Poisson problems with piecewise constant coefficients and interface jumps
Alexandre Noll Marques, Jean-Christophe Nave, Rodolfo Ruben Rosales
We present a fast and accurate algorithm to solve Poisson problems in complex geometries, using regular Cartesian grids. We consider a variety of configurations, including Poisson…
physics.comp-ph2014★ 7 cited
Adaptive gradient-augmented level set method with multiresolution error estimation
Dmitry Kolomenskiy, Jean-Christophe Nave, Kai Schneider
A space-time adaptive scheme is presented for solving advection equations in two space dimensions. The gradient-augmented level set method using a semi-Lagrangian formulation with…