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 |
| Summary: | 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. |
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