MTH 654/9: Finite Element Methods - Fall 2021
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General information
Class announcement
General information
Instructor: Malgorzata Peszynska, Professor of Mathematics (Contact information including office hours on instructor's department website)
Class: Lecture: MWF 15:00-15:50pm, 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: Poincare-Friedrichs 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: