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.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:kau-95599 |
| Date | January 2023 |
| Creators | Dumbuya, Samba |
| Publisher | Karlstads universitet, Institutionen för matematik och datavetenskap (from 2013), Karlstad University |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, info:eu-repo/semantics/bachelorThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
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