04 - Solver Validation#
Description#
End-to-end validation of the complete Poisson solver across all implementation permutations. This experiment tests the fully assembled solver - Decomposition from experiment 02, and communication from experiment 03.
The correctness is asserted by comparing the obtained solution with the analytical solution in a grid refinement study and verifying the theoretical order of spatial accuracy.
Note
We only use a single kernel-configuration here since the kernel correctness has already been established in experiment 01.
Purpose#
Establish correctness of the solver implementation by:
Analytical comparison - Test against known exact solution:
u(x,y,z) = sin(πx)sin(πy)sin(πz)Spatial convergence - Demonstrate expected O(h²) convergence order as grid is refined
