A multiscale formulation for FEM and IgA
A numerical method is formulated based on Finite Elements, Iso- geometric Analysis and a Multiscale technique. Isogeometric Analysis, which uses B-Splines and NURBS as basis functions, is applied to evaluate its performance. The analyzed PDE is Poisson's Equation. The method starts with a coars...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
National University of Colombia
2017
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| Online Access: | https://revistas.unal.edu.co/index.php/bolma http://hdl.handle.net/20.500.11937/65507 |
| _version_ | 1848761146336608256 |
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| author | Mora Paz, J. Mantilla Gonzalez, J. Calo, Victor |
| author_facet | Mora Paz, J. Mantilla Gonzalez, J. Calo, Victor |
| author_sort | Mora Paz, J. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A numerical method is formulated based on Finite Elements, Iso- geometric Analysis and a Multiscale technique. Isogeometric Analysis, which uses B-Splines and NURBS as basis functions, is applied to evaluate its performance. The analyzed PDE is Poisson's Equation. The method starts with a coarse mesh which is refined to obtain each scale, considering every current scale mesh's element as a subdomain to the following scale. Local problems of each subdomain are solved independently, and the system is executed iteratively. Isogeometric analysis shows to have a better performance regarding approximation error and convergence in the iterative method that was derived here, which favorably influences computational cost.
uences computational cost. |
| first_indexed | 2025-11-14T10:27:02Z |
| format | Journal Article |
| id | curtin-20.500.11937-65507 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:27:02Z |
| publishDate | 2017 |
| publisher | National University of Colombia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-655072018-04-09T05:51:35Z A multiscale formulation for FEM and IgA Mora Paz, J. Mantilla Gonzalez, J. Calo, Victor A numerical method is formulated based on Finite Elements, Iso- geometric Analysis and a Multiscale technique. Isogeometric Analysis, which uses B-Splines and NURBS as basis functions, is applied to evaluate its performance. The analyzed PDE is Poisson's Equation. The method starts with a coarse mesh which is refined to obtain each scale, considering every current scale mesh's element as a subdomain to the following scale. Local problems of each subdomain are solved independently, and the system is executed iteratively. Isogeometric analysis shows to have a better performance regarding approximation error and convergence in the iterative method that was derived here, which favorably influences computational cost. uences computational cost. 2017 Journal Article http://hdl.handle.net/20.500.11937/65507 https://revistas.unal.edu.co/index.php/bolma National University of Colombia restricted |
| spellingShingle | Mora Paz, J. Mantilla Gonzalez, J. Calo, Victor A multiscale formulation for FEM and IgA |
| title | A multiscale formulation for FEM and IgA |
| title_full | A multiscale formulation for FEM and IgA |
| title_fullStr | A multiscale formulation for FEM and IgA |
| title_full_unstemmed | A multiscale formulation for FEM and IgA |
| title_short | A multiscale formulation for FEM and IgA |
| title_sort | multiscale formulation for fem and iga |
| url | https://revistas.unal.edu.co/index.php/bolma http://hdl.handle.net/20.500.11937/65507 |