139 citations · 631 across the 46 of their papers we have counts for
3 papers · 1 filter
Imposing jump conditions on nonconforming interfaces for the Correction Function Method: a least squares approach
Alexandre Noll Marques, Jean-Christophe Nave, Rodolfo Ruben Rosales
We introduce a technique that simplifies the problem of imposing jump conditions on interfaces that are not aligned with a computational grid in the context of the Correction Funct…
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…
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…