Publication:
Steady Heat Conduction Solution Using Trigonometric Bezier Finite Element Method

Simple item page
dc.contributor.authorAbidin, Mohamad Naufal Zainal
dc.date.accessioned2025-05-19T00:44:30Z
dc.date.available2025-05-19T00:44:30Z
dc.date.issued2024-08
dc.description.abstractThe Finite Element Method (FEM) is a numerical technique used to solve several forms of partial differential equations, which are commonly utilized in engineering and mathematical modelling. Basic polygons such as triangles and quadrilaterals are used as element shapes in FEM. Due to the rigid sides of these basic shapes, they have resulted in sharp edges and are limited in handling irregular or curved geometries. To address this issue, mesh refinement is required to maintain the original geometry of the model, resulting in a larger number of elements and an increase in computational time. The spline functions are used as basis functions in isogeometric Finite Element Analysis(FEA). Isogeometric analysis (IGA) is a technique that recently developed in computational mechanics that offers the possibility of integrating the analysis and the design process into a single and unified process. This technique has the advantage of providing seamless integration of accurate geometry, thus bridging the gap between computer-aided geometric design and finite element analysis. Commonly, nonuniform rational B-splines (NURBS) and Bernstein-Bézier are used as basis functions in IGA. However, in this study, Trigonometric Bézier basis function will be used to solve the heat conduction problem in a two-dimensional curvilinear duct pipe. In summary, the findings indicate that the results obtained using the Trigonometric Bézier method are promising. The mean error recorded is minimal compared to the existing method, namely the Bernstein Bézier.
dc.identifier.urihttps://erepo.usm.my/handle/123456789/21671
dc.language.isoen_US
dc.subjectSteady Heat Conduction Solution
dc.subjectTrigonometric Bezier Finite Element Method
dc.subjectHeat Conduction Solution
dc.subjectTrigonometric
dc.subjectUniversiti Sains Malaysia
dc.subjectAbidin
dc.subjectMohamad Naufal Zainal
dc.subjectPusat Pengajian Sains Matematik
dc.subjectTrigonometric Bezier
dc.titleSteady Heat Conduction Solution Using Trigonometric Bezier Finite Element Method
dc.typeResource Types::text::thesis::master thesis
dspace.entity.typePublication
oairecerif.author.affiliationUniversiti Sains Malaysia
Files
Collections
Pusat Pengajian Sains Matematik - Tesis