FastVPINNs Tutorials

This page contains tutorials for solving 2D Partial Differential Equations (PDEs) using the FastVPINNs library. The tutorials are organized as follows:

Forward Problems

Problems on Uniform Mesh

• Poisson Equation on unit square
• Helmholtz Equation on unit square

Problems on Complex geometry

• Poisson Equation on unit circle
• Helmholtz Equation on unit circle
• Convection-Diffusion Equation on spur-gear geometry
• Convection-Diffusion Equation on unit circle

Problems with Hard boundary constraints

• Poisson Equation with hard boundary constraints on unit square

Custom Training

• Constructing the tensor-based loss formulation for Custom PDE's (without using the inbuilt routines) : Poisson - 2D

Inverse Problems

• Inverse problems with constant inverse parameter
• Inverse problems with spatially varying inverse parameter

Mesh Generation Tutorials

• Mesh Generation from External CAD Files
• Mesh generation from GEO files