This is a project made for the course MATH-H401 in the first year master degree at the Ecole Polytechnique de Bruxelles, the main goal of this project is to build a multi-grid solver for linear symmetric sparse problems, resulting from a discretization.

Before compiling make sure you have the following libraries placed at the root folder containing "main.c" :

-PRIMME (pre-compiled) -UMFPACK (pre-compiled)

To compile : "make" command, the executable is by default "./main" To clean all folders : "make clean" command

PRIMME will not run as long as the python script displaying the residual evolution is not closed

(Projet 9)

Content :

• General multi-grid solver adapted to the project
• PRIMME resolution with preconditionner acceleration ================================================================================

Use :

• All modifiable variables are at the top of the main.c file

  • Changing to m_depth = 9 for multigrid solver (called in PRIMME)

• General parameters :

  • ptype --> changing smoothing method
  • relaxationOn --> Calculate the best \tau for optimal relaxation
  • stabCheck --> checks the stability criterion after computing
  • primmePrecond --> Skips or not the eigenvalue problem
  • primmePrecondType --> Choose what preconditionner to use in PRIMME

• Graphical options :

  • showDiffusionMap --> Heat map diffusion problem after computing
  • showDiffusionSurface --> Shows the surface of the diffusion problem
  • showEigenvalues --> Displays the first mode given by the PRIMME eigenvalue solver
  • showResGraph --> Makes a graph of the residual norm ================================================================================