Upon successful completion of this course, the student will be able to
- formulate and solve (with a computer) higher order partial differential equations in multi–dimensional problems using discontinuous Galerkin method;
- derive a priori and a posteriori error estimates using discontinuous Galerkin method;
- generate adaptive meshes using various a posteriori error estimates;
- apply the discontinuous Galerkin method in their thesis and understand the current research in this area;
- evaluate different techniques for solving problems and be able to motivate when to use existing software and when to write new code.