Finite Element Methods
Reference
1. Hilbert Space
https://misa-xu.github.io/space/
From Vector Space to Euclidean Space
Human-Friendly DefinitionA Formal DefinitionA space consists of a set of selected points, with a set of selected relationships between those points. The points could be elements of a set, functions on
misa-xu.github.io
2 FEM
Syllabus | Finite Element Analysis of Solids and Fluids I | Mechanical Engineering | MIT OpenCourseWare
This syllabus section provides the course description and information on meeting times, prerequisites, topics, textbook, grades, finite element analysis software, reading assignments, computer assignments, the term project, and additional resources.
ocw.mit.edu
https://web.stanford.edu/class/energy281/FiniteElementMethod.pdf
3. FEM
https://people.maths.ox.ac.uk/farrellp/femvideos/notes.pdf
4. Sobolev spaces and completesness
https://math.stackexchange.com/questions/3250241/why-are-sobolev-spaces-useful
Why are Sobolev spaces useful?
Why are Sobolev spaces useful, and what problems were they developed to overcome? I'm particularly interested in their relation to PDEs, as they are often described as the 'natural space in which t...
math.stackexchange.com