MTH 654/9: Finite Element Methods  Fall 2021

General information 
Instructor:
Malgorzata Peszynska, Professor of Mathematics
(Contact information including office hours on
instructor's department website)
Class:
Lecture: MWF 15:0015:50pm, STAG 111.
Course information: see CANVAS.
Schedule: {Assignments}
 9/22: Introductions. What is FEM and why FEM and what this class is not about.
 9/24: FE for 1d Poisson problem.
 9/27: Inner product and normed spaces. Function norms. Numerical integration. {First day survey}
 9/29: Code FDFEM1_singular.m. Weak (distributional) derivatives.
 10/1: Examples of when $f \not \in C^0$. Assembly calculations, and reference element calculations (outlook towards $hp$ FE). Functionals and distributions: examples {HW1 due}
 10/4: (M) equivalent to (V). Basic H_0^1 error estimate.
 10/6: PoincareFriedrichs inequality, and how to simplify basic error estimate. Bilinear forms.
 10/8: Worksheet/handout and group work on bilinear forms {HW2 due 10/10/21}
 10/11: HW2 discussion.
 10/13: Solving more general BVP for more general PDEs with FEM. Neumann conditions; first and zero order terms.
 10/15:
 10/18:
 10/20:
 10/22: {HW4 due 10/22/21}
 10/25:
 10/27:
 10/29:
 11/1:
 11/3:
 11/5: No class (FE circus)
 11/8: {HW3 (group work on software) due 11/8/21}
 11/10:
 11/12:
 11/15:

