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Document type

Bachelor thesis

Publication date

2021-06-20

Publication license

cc-by-nc-nd (c) Guillem Capellera Font, 2021
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/184846

El mètode dels elements finits

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Abstract

[en] The finite element method (FEM) is one of the most widely used tools for solving different problems governed by partial differential equations (PDE’s). In this work we study the theoretical basis on which the FEM is based and we deal with two general problems: elliptic and parabolic. The main numerical and computational methods used to implement the FEM are also explained. Finally we apply the method in the one-dimensional and two-dimensional case. In the one-dimensional case we solve two examples by programming code in MATLAB language. In the two-dimensional case we solve an example using the FEATool Multiphysics software.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Àngel Jorba i Monte

Subject

Mètode dels elements finits, Treballs de fi de grau, Anàlisi numèrica, Equacions en derivades parcials

Subject (English)

Finite element method, Bachelor's theses, Numerical analysis, Partial differential equations

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

CAPELLERA FONT, Guillem. El mètode dels elements finits. [consulted: 7 of August of 2026]. Available at: https://hdl.handle.net/2445/184846

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