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Parallelization of the Heat Equation using MPI

Algorithms

  • Jacobi
  • Gauss-Seidel SOR
  • Red-Black SOR

Brief results

  • Scalability test

  • Speed test

  • Analytic results in 1024x1024

    Algorithm Grid Iterations Compute Converge Communicate Parallel Time (s)
    Jacobi 8x8 798201 40.28 9.49 217.01 266.78
    Gauss-Seidel SOR 8x8 3021 0.48 0.13 1.33 1.94
    Red-Black SOR 8x8 2501 0.31 0.08 1.38 1.97

Project Structure

  • Project description in Greek here.
  • Serial implementations in serial.
  • Parallel MPI implementations in parallel.
  • Final report in Greek in report.
  • Plots and scripts in plots.