Finite volume methods for PDEs, 2020-2021

• Références
• Finite Volume Methods, Robert Eymard, Raphèle Herbin, Thierry Gallouet
• A beginner's course in finite volume approximation of scalar conservation laws, Jérome Droniou
• Review on finite volume schemes for diffusion equations, Jérome Droniou
• Course on finite volume schemes for elliptic problems, Frank Boyer

• Exercizes
• Laplacian 1D with Dirichlet and Neumann boundary conditions
• Convection diffusion in 1D with a variable Peclet number scheme
• Advection equation in dimension d with source terms

• Numerical Project
• Buckley Leverett equation
• Stratigraphic model: one lithology case, Code scilab à compléter
• Stratigraphic model: two lithology case, Code scilab à compléter