Upon successful completion of this course, the student will be able to:
- formulate and solve (with a computer) second order partial differential equations in one and two spatial dimensions using finite element method;
- derive a priori error bounds for elliptic equations in one and two spatial dimensions;
- solve time dependent partial differential equations using finite element method in space and finite differences in time, and to compare different time stepping algorithms and choose appropriate algorithms;
- apply the finite element methods 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;
- use MATLAB in their own project work.