Student, who passed the course satisfactorily will be able to:

• apply the calculus of variations and weighted residual methods in the derivation of finite element formulations

• derive and construct interpolation functions, including those for higher-order elements

• implement the element-level assembly procedure and impose essential and natural boundary conditions

• formulate and solve finite element models for linear and nonlinear ordinary differential equations

• develop time-stepping algorithms for transient problems within the finite element framework

• analyze convergence, stability, and error behavior of finite element solutions

• solve algebraic systems arising from FEM discretizations using appropriate numerical methods

• apply finite element methods to practical problems in applied continuum mechanics, including both steady-state and time-dependent cases