Description

Parallel implementation (MPI) of a finite difference solution of Laplace problem over the unit square. Boundary conditions are:

• Left & top: $T = 0$
• Bottom: $T = 100 / x$
• Right: $T = 100 / y$
• Null initial condition for interior points

Exercise is proposed by this YouTube video.

Solution using 20 CPUS

Partition	Temperature field

Strong scaling

Up to 128 processors

Developper notes

Checkpoints

• Parallel version runs correctly
• Parallel version runs
• Serial version runs correctly

TODO

• Add strong scaling plot
• // vtk
• Ghost cell information communication
• Parallelization game-plan
• Write lighter vtk for visualization (low priority)
• Initial condition set correctly in //
• Fix bug final error seems too big (high priority)
• Write vtk for visualization (high priority)