ACM712 Finite Element Methods

[3–0, 3 cr.]

Variational formulations of linear and nonlinear elliptic boundary value problems, eigenvalue problems, one-dimensional and multidimensional finite element methods, Galerkin’s method and extremal principles, piecewise Lagrange approximation, hierarchical bases, interpolation errors, function spaces and approximation Lagrange bases on triangles and rectangles, mesh generation and assembly, coordinate transformations, generation of element matrices and their assembly, discretization errors, adaptivity h- p- and hp-Refinement, semi discrete Galerkin methods, the Method of Lines, finite element methods in time, convergence and stability, error estimates.