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Finite Element Methods 본문

Presentation & Report

Finite Element Methods

TaeTrix 2023. 12. 13. 19:14

 

 

 

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

https://ocw.mit.edu/courses/2-092-finite-element-analysis-of-solids-and-fluids-i-fall-2009/pages/syllabus/

 

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

 

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