This repository contains MATLAB implementations of FISTA for MFG on triangular meshes representation of two-dimensional manifolds (Yu et al. 2023).
Self-generated triangular meshes used in the paper are available in the Data folder.
All codes are in the code folder.
test_xxx.m are the main scripts to regenerate the results in the paper.
readOFF.m, getaroundpt.m, surfOperators.m, surfOperators4d.m and surfOperators5d.m are for preprocessing the triangular meshes.
mfgMfFista.m and mfpMfFista.m are the main functions to solve MFG/MFP problems on the triangular meshes.
dctMfg.m and idctMfg.m are the functions to solve the projection for MFG problems on the triangular meshes.
viewMesh.m and viewVectF.m are for visualizing the results.
Due to legacy issues, the naming of functions and variables has not followed a unified convention. We apologize for any inconvenience this may cause.
Jiajia Yu, Rongjie Lai, Wuchen Li and Stanley Osher. Computational Mean-Field Games on Manifolds. Journal of Computational Physics 484 (2023): 112070.