Lectures

This section collects the theoretical material developed during the lectures. The order follows the course calendar and will be expanded throughout the semester.

Lecture 3 — Polynomial approximation and a priori error estimates develops the Deny–Lions and Bramble–Hilbert lemmas and their application to conforming Galerkin error estimates.

• Numerical Methods for Partial Differential Equations
• Syllabus
• References
• Lectures
  • Lecture 1 — Model problems and the Ritz–Galerkin method
  • Lecture 2 — Function spaces, meshes, and affine scaling
  • Lecture 3 — Polynomial approximation and a priori error estimates
• Laboratories
  • Laboratory 1 — From a C++ Source File to a Visualized Data Set
  • Laboratory 2 — Meshes, connectivity, and deal.II abstractions
• Final projects