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Numerical Software 2, academic year 2022/23

Week 1, February 19-20, 2024

  • 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 25-26, 2024

  • Implementation of the finite element method, P_1 case, lecture notes FEM-implement.pdf, Section 1.1
  • general case, lecture notes FEM-implement.pdf, Section 1.2

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

    Week 3, March 4-5, 2024

  • Implementation of the finite element method, general case, lecture notes FEM-implement.pdf, Section 1.2
  • Implementation of the finite element method, lecture notes FEM-implement.pdf, Section 1.3

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

    Week 4, March 11-12, 2024

  • 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: FreeFEM++ software http://www.freefem.org/ , Link to code(s) for tutorial

    Week 5, March 18-19, 2024

  • mesh generation and mesh adaptation NumSoft.pdf, Chapter 13
  • anisotropic mesh adaptation AMA.pdf

  • Tutorial: software for visualization

    Week 6, March 25-26, 2024

  • 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 , triangulation of L-shape domain triangLL

    Week 7, April 2, 2024

  • No lecture on Monday (Easter)
  • 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 , triangulation of L-shape domain triangLL

    Week 8, April 8-9, 2024

  • Multigrid methods, lecture notes NumSoft.pdf , Chapter 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 15-16 2024

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

    Week 10, April 22-23, 2024

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

    Week 11 April 29-30, 2024

  • Goal-oriented error estimates, lecture notes NumSoft.pdf Chapter 18,
  • Tutorial: GIT -- distributed version control system tutorial16_git.pdf , see also git-scm.com
  • tutorial15_Adgfem.pdf , source file ADGFEM – Adaptive discontinuous Galerkin finite element method code