October 2023
Intermediate to advanced
368 pages
12h 57m
English
Stéphane P. A. Bordas1, Alexander Menk2, and Sundararajan Natarajan3
1 University of Luxembourg, Luxembourg, UK2 Robert Bosch GmbH, Germany3 Indian Institute of Technology Madras, India
In the previous chapter, we discussed the approximation properties of the finite element method (FEM) and learnt that it is not ideally suited to treat problems involving “rough” solutions. This happens when the solution or its derivatives are of low-order continuity. Examples of problems with rough solutions include:
We will require the following definitions.
From simple examples where the standard FEM is unable to reproduce certain features ...