Showing math.NAShow all
2 papers · 1 filter
math.NA2026
Wavelet-based grid adaptation with consistent treatment of high-order sharp immersed geometries
Changxiao Nigel Shen, Wim M. van Rees
Wavelet-based grid adaptation methods use multiresolution analysis for error estimation, offering a mathematically rigorous approach to adaptive grid refinement when solving Partia…
math.NA2024
A particle-in-Fourier method with semi-discrete energy conservation for non-periodic boundary conditions
Changxiao Nigel Shen, Antoine Cerfon, Sriramkrishnan Muralikrishnan
We introduce a novel particle-in-Fourier (PIF) scheme that extends its applicability to non-periodic boundary conditions. Our method handles free space boundary conditions by repla…