Finite difference solvers for PDEs

PDE solvers in 2D for personal research usage, including wave equation, acoustic wave equation, Maxwell's equations, and convection-diffusion equation. Features:

• Use Eigen3 for dynamic vector and matrix container.
• Written in C++ with object-oriented programming style.
• OpenMp is used for parallel computing to increase computational efficiency.

Please compile it with openmp:

g++ --std=c++17 -fopenmp -O3 .\src\*.cpp -o Solver.exe

Next:

• Improve computing efficiency by improving OpenMP code.
• Update DiffGrid2D class.
• Add a boundary condition class.
• Build Python interfaces for PDE-constrained optimization work.
• Parallel with Cuda (maybe for another project).

Demo:

Convection-diffusion equation

Maxwell's equations

Check the Gifs in the data folder for fun.