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ResearchFormerly WizWand

PDE Solving on 2D Allen-Cahn equation a=15

0Relative L2 ErrorTGPS-PF
-0.3315991.9067014.1450016.3833Oct 15, 2025
Updated 7mo ago

Evaluation results

MethodLinks
TGPS-PFNumber of collocation points=8100, Collocation grid resolution=90x902025.100
TGPS-PFResolution=90 × 902025.100
TGPS-NTNumber of collocation points=8100, Collocation grid resolution=90x902025.100
TGPS-NTResolution=90 × 902025.100
TGPS-PFNumber of collocation points=40000, Collocation grid resolution=200x2002025.100
TGPS-PFResolution=200 × 2002025.100
TGPS-NTNumber of collocation points=22500, Collocation grid resolution=150x1502025.100
TGPS-NTResolution=150 × 1502025.100
TGPS-NTNumber of collocation points=40000, Collocation grid resolution=200x2002025.100
TGPS-NTResolution=200 × 2002025.100
TGPS-NTNumber of collocation points=6400, Collocation grid resolution=80x802025.100
TGPS-NTResolution=80 × 802025.100
TGPS-PFNumber of collocation points=22500, Collocation grid resolution=150x1502025.100
TGPS-PFResolution=150 × 1502025.100
TGPS-PFNumber of collocation points=6400, Collocation grid resolution=80x802025.100
TGPS-PFResolution=80 × 802025.100
SKSNumber of collocation points=22500, Collocation grid resolution=150x1502025.100
SKSNumber of collocation points=40000, Collocation grid resolution=200x2002025.100
SKSNumber of collocation points=8100, Collocation grid resolution=90x902025.100
SKSNumber of collocation points=6400, Collocation grid resolution=80x802025.100.0001
FEMResolution=200 × 2002025.100.0054
FEMResolution=150 × 1502025.100.0097
FDResolution=200 × 2002025.100.0184
FEMResolution=90 × 902025.100.0262
FDResolution=150 × 1502025.100.033
FEMResolution=80 × 802025.100.0332
FDResolution=90 × 902025.100.0945
FDResolution=80 × 802025.100.121
PINNNumber of collocation points=22500, Collocation grid resolution=150x1502025.105.95
PINNNumber of collocation points=6400, Collocation grid resolution=80x802025.107.11
PINNNumber of collocation points=8100, Collocation grid resolution=90x902025.107.5
PINNNumber of collocation points=40000, Collocation grid resolution=200x2002025.108.29