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Numerical Software 2, academic year 2021/22

Week 1, February 17, 2022

  • Implementation of the finite element method, P_1 case, lecture notes FEM-implement.pdf, Section 1.1

  • Tutorial: writing a cimple C-shell scripts tutorial10_Cshell.pdf
  • Link to code(s) for tutorial

    Week 2, February 24, 2022

  • Implementation of the finite element method, P_1 case, lecture notes FEM-implement.pdf, Section 1.1

  • Tutorial: basic implementation of FEM tutorial7_FEM.pdf
  • Link to code(s) for tutorial

    Week 3, March 3, 2022

  • Implementation of the finite element method, general case, lecture notes FEM-implement.pdf, Section 1.2

  • Tutorial: storing of sparse matrix, advanced implementation of FEM tutorial8_FEMsparse.pdf
  • Link to code(s) for tutorial

    Week 4, March 10, 2022

  • Implementation of the finite element method, lecture notes FEM-implement.pdf, Section 1.3
  • Implementation of discontinuous Galerkin method, lecture notes FEM-implement.pdf, Section 1.4
  • Numerical quadratures, lecture notes FEM-implement.pdf, Section 1.5

  • Tutorial: storing of sparse matrix, advanced implementation of FEM tutorial8_FEMsparse.pdf
  • Link to code(s) for tutorial

    Week 5, March 17, 2022

  • mesh generation and mesh adaptation NumSoft.pdf, Chapter 13
  • anisotropic mesh adaptation AMA.pdf
  • Tutorial: FreeFEM++ software http://www3.freefem.org/
  • Link to code(s) for tutorial

    Week 6, March 24, 2022

  • anisotropic mesh adaptation AMA.pdf ;   presentation at pres-AMA1.pdf
  • animation of AMA methods: here
  • Tutorial: ANGENER code, File 'manual.ps' from the software package angener3.1.tar.gz , presentation at pres-AMA2.pdf
  • Main tasks 3 & 4 tutorial12_AMA.pdf

    Week 7, March 31, 2022

  • Lecture as well as tutorial do not hold this week

    Week 8, April 7, 2022

  • Multigrid methods, lecture notes NumSoft.pdf , Chapters 15
  • Tutorial: ANGENER code, File 'manual.ps' from the software package angener3.1.tar.gz , presentation at pres-AMA2.pdf
  • Main tasks 3 & 4 tutorial12_AMA.pdf

    Week 9, April 14, 2022

  • Multigrid methods, lecture notes NumSoft.pdf , Chapters 15
  • Tutorial: tutorial14_MG.pdf
  • Link to code(s) for tutorial

    Week 10, April 21, 2022

  • Fast Fourier Transformation, lecture notes NumSoft.pdf , Chapters 14
  • tutorial: tutorial13_FFT.pdf
  • Link to code(s) for tutorial

    Week 11, April 28, 2022

  • Goal-oriented error estimates
  • tutorial15_Adgfem.pdf , source file ADGFEM – Adaptive discontinuous Galerkin finite element method code

    Week 12, May 5, 2022

  • Goal-oriented error estimates
  • tutorial15_Adgfem.pdf , source file ADGFEM – Adaptive discontinuous Galerkin finite element method code
  • tutorial: software for visualization

    Week 13, May 12, 2022

    Week 14, May 19, 2022