41 citations · 70 across the 7 of their papers we have counts for
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math.NA2019★ 6 cited
PDE-Based Multidimensional Extrapolation of Scalar Fields over Interfaces with Kinks and High Curvatures
Daniil Bochkov, Frederic Gibou
We present a PDE-based approach for the multidimensional extrapolation of smooth scalar quantities across interfaces with kinks and regions of high curvature. Unlike the commonly u…
physics.comp-ph2019★ 41 cited
Solving Elliptic Interface Problems with Jump Conditions on Cartesian Grids
Daniil Bochkov, Frederic Gibou
We present a simple numerical algorithm for solving elliptic equations where the diffusion coefficient, the source term, the solution and its flux are discontinuous across an irreg…