PUM-Based Wave-Ray Multigrid

This repository contains the codes for the master thesis project PUM-Based Wave-Ray multigrid, the results of numerical experiments can be found at

document/Master_Thesis_Liaowang.pdf

This markdown aims to show how to repeat the results of the numerical experiments. Details can be found at the markdown file in the subdirectory.

At first, cmake with the release mode

mkdir release
cmake -DCMAKE_BUILD_TYPE=Release ..
make

• Resolution test for standard Lagrangian finite elmeent spaces

  • Results are in section 7.1 in the thesis pdf.
  • Source file: LagrangeO1/test/O1_resolution.cpp
  • Run the executable file ./LagrangeO1/O1_resolution
  • The output is stored at result_squarehole/LagrangeO1/

• Resolution test for (Extend) PUM spaces

  • Results are in section 5.4 in the thesis pdf.
  • Source files lie in Pum/tests/pum_resolution.cpp and ExtendPum/tests/extendpum_resolution.cpp
  • Run the executable file ./Pum/pum_resolution and ./ExtendPum/ExtendPum_resolution
  • The output is stored at result_square/PUM and result_square/ExtendPum/

• PUM Wave-Ray method

  • Results are in section 7.3
  • Source file lies in Wave_Ray_Cycle/Wave_Ray.cpp, and some useful functions are in utils/mg_element.h
  • Run the executable ./Wave_Ray_Cycle/Wave_Ray
  • The output is stored at result/waveray_factor/

• GMRES

  • Results are in section 8.3
  • Source file: Krylov/KrylovEnhance_mg.cpp
  • Run the executable file ./Krylov/mg_krylov
  • The output is stored at result/mgGmres_count/

• Local impedance smoothing

  • Results in section 8.3

  • Files: local_impedance/local_impedance_smoothing.cpp

  • Run the executable file ./local_impedance/local_impedance_smoothing

  • The output is stored at result/impedance_count