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Homogenization of a higher gradient heat equation: Numerical solution of the cell problem using quadratic B--spline based finite elements

This study focuses on the numerical solution of a fourth-order cell problem obtained through a two- scale expansion approach applied to a higher gradient heat equation microscopic problem involving temperature distributions. The main objective is to investigate the temperature field within the macroscale domain and compute the effective conductivity using finite element methods. The research utilizes numerical techniques, specifically finite element methods, to solve the fourth-order cell problem and obtain the temperature distribution.

Identiferoai:union.ndltd.org:UPSALLA1/oai:DiVA.org:kau-95599
Date January 2023
CreatorsDumbuya, Samba
PublisherKarlstads universitet, Institutionen för matematik och datavetenskap (from 2013), Karlstad University
Source SetsDiVA Archive at Upsalla University
LanguageEnglish
Detected LanguageEnglish
TypeStudent thesis, info:eu-repo/semantics/bachelorThesis, text
Formatapplication/pdf
Rightsinfo:eu-repo/semantics/openAccess

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