activity
20192025
most citedA multilevel Monte Carlo method for asymptotic-preserving particle schemes in the diffusive limit

9 citations · 14 across the 5 of their papers we have counts for

collaborators

6 papers

math.NA2025

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…

cs.CE2025

Numerical analysis of fluid estimation for source terms in neutral particles simulation

Zhirui Tang, Emil Løvbak, Julian Koellermeier +1

In plasma edge simulations, kinetic Monte Carlo (MC) is often used to simulate neutral particles and estimate source terms. For large-sized reactors, like ITER and DEMO, high parti…

cs.CE2025

2D implementation of Kinetic-diffusion Monte Carlo in Eiron

Oskar Lappi, Emil Løvbak, Thijs Steel +1

Particle-based kinetic Monte Carlo simulations of neutral particles is one of the major computational bottlenecks in tokamak scrape-off layer simulations. This computational cost c…

math.NA2023★ 2 cited

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…

math.NA2022★ 3 cited

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…

math.NA2019★ 9 cited

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…