3 papers
math.NA2026
Adjoint DSMC Method for Spatially Inhomogeneous Boltzmann Equation with General Boundary Conditions
Russel Caflisch, Linglai Chen, Yunan Yang
We develop adjoint Direct Simulation Monte Carlo (DSMC) formulations for the spatially inhomogeneous Boltzmann equation with periodic, specular reflecting, diffuse thermal, and pre…
math.OC2025
HV Metric For Time-Domain Full Waveform Inversion
Matej Neumann, Yunan Yang
Full-waveform inversion (FWI) is a powerful technique for reconstructing high-resolution material parameters from seismic or ultrasound data. The conventional least-squares (\(L^{2…
math.OC2025
Robust Frequency Domain Full-Waveform Inversion via HV-Geometry
Zhijun Zeng, Matej Neumann, Yunan Yang
Conventional frequency-domain full-waveform inversion (FWI) is typically implemented with an misfit function, which suffers from challenges such as cycle skipping and sensiti…