Weeks March 16 - April 3, 2020

• DGM for the Laplace problems: Sections 1.4, 1.5, 1.6, 1.7 from the Lecture notes

• pres1.pdf   – summary of the main results of Chapter 1 from Lecture notes

• test_DGM1.pdf   – test (quiz) #1     Solution should be send by e-mail no later than April 8, 2020

Week April 6 - 10, 2020

• DGM for the Laplace problems, numerical experiments: Section 1.8, from the Lecture notes

• Second part of the previous presentation pres1.pdf

Week April 13 - 17, 2020

• A short introduction to the finite volume method for first order hyperbolic problems pres2.pdf (contains an internal animation working only in acroread)
  An additional external animation FV-FE.avi

Week April 20 - 24, 2020

• Discontinuous Galerkin method for first order hyperbolic problems pres3.pdf

• Much more detailed describtion is given in Chapter 6 in the Lecture notes (not necessary to study!)

Weeks April 27 - May 8, 2020

• DGM for the nonlinear convection-diffusion equation: Sections 2.1 – 2.4, 2.7 in the Lecture notes (skip Section 2.3.2)

• Discontinuous Galerkin method for a convection-diffusion equation: summary of results pres4.pdf

• test_DGM2.pdf   – test (quiz) #2     Solution should be send by e-mail no later than May 15, 2020

Week May 11-15, 2020

• BDF-DGM for the nonlinear convection-diffusion equation: Chapter 3 in the Lecture notes

• Backward difference formula – Discontinuous Galerkin method for a convection-diffusion equation: summary of results pres5.pdf

Week May 18-22, 2020

• STDGM for time-dependent PDEs: Chapter 4 in the Lecture notes

• Space-time Discontinuous Galerkin method for time-dependent PDEs: summary of results pres6.pdf

• Practical demonstration of adaptive STDGM pres7.pdf (contains an internal animation working only in acroread)

• test_DGM3.pdf   – test (quiz) #3     Solution should be send by e-mail at least 1 day before exam (the date of exam will be set individually)