9 citations · 14 across the 5 of their papers we have counts for
4 papers · 1 filter
Analysis of kinetic-diffusion Monte Carlo simulation and source term estimation scheme in nuclear fusion applications
Zhirui Tang, Julian Koellermeier, Emil Løvbak +1
In plasma edge simulations, the behavior of neutral particles is often described by a Boltzmann--BGK equation. Solving this kinetic equation and estimating the moments of its solut…
Reversible random number generation for adjoint Monte Carlo simulation of the heat equation
Emil Løvbak, Frédéric Blondeel, Adam Lee +3
In PDE-constrained optimization, one aims to find design parameters that minimize some objective, subject to the satisfaction of a partial differential equation. A major challenges…
Accelerated simulation of Boltzmann-BGK equations near the diffusive limit with asymptotic-preserving multilevel Monte Carlo
Emil Løvbak, Giovanni Samaey
Kinetic equations model the position-velocity distribution of particles subject to transport and collision effects. Under a diffusive scaling, these combined effects converge to a…
A multilevel Monte Carlo method for asymptotic-preserving particle schemes in the diffusive limit
Emil Løvbak, Giovanni Samaey, Stefan Vandewalle
Kinetic equations model distributions of particles in position-velocity phase space. Often, one is interested in studying the long-time behavior of particles in high-collisional re…