Two-scale composite finite element method for parabolic problems in convex and nonconvex polygonal domains
| dc.contributor.author | Pramanick, Tamal | |
| dc.date.accessioned | 2020-08-27T12:17:34Z | |
| dc.date.accessioned | 2023-10-20T12:30:59Z | |
| dc.date.available | 2020-08-27T12:17:34Z | |
| dc.date.available | 2023-10-20T12:30:59Z | |
| dc.date.issued | 2019 | |
| dc.description | Supervisor: Rajen Kumar Sinha | en_US |
| dc.description.abstract | The main objective of this thesis is to study a priori error analysis of the two-scale com- posite finite element (CFE) method for parabolic initial-boundary value problems (IBVPs) in two-dimensional convex and nonconvex polygonal domains. When the physical domain is non- convex or very complicated, the standard finite element method (FEM) requires to generate finite element mesh that resolves the domain boundary. As a result, the degrees of freedom of such finite element space are distributed in a nonoptimal way with respect to the approxi- mation quality which drastically increases the minimal dimension of the finite element space. Whereas, the CFE discretizations are based on the two-scale grid refinement: In the interior of the domain at a proper distance from the boundary, the solution is approximated by a coarse-scale parameter H whereas the near-boundary triangles are discretized by a fine-scale parameter h which approximates the Dirichlet boundary conditions. | en_US |
| dc.identifier.other | ROLL NO.136123008 | |
| dc.identifier.uri | https://gyan.iitg.ac.in/handle/123456789/1638 | |
| dc.language.iso | en | en_US |
| dc.relation.ispartofseries | TH-2233; | |
| dc.subject | MATHEMATICS | en_US |
| dc.title | Two-scale composite finite element method for parabolic problems in convex and nonconvex polygonal domains | en_US |
| dc.type | Thesis | en_US |
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