A multiscale formulation for FEM and IgA
A numerical method is formulated based on Finite Elements, Isogeometric 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...
- Autores:
-
Mora Paz, Jaime David
Mantilla González, Juan Miguel
Calo, Victor
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2017
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/61873
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/61873
http://bdigital.unal.edu.co/60685/
- Palabra clave:
- 51 Matemáticas / Mathematics
multiescala
análisis isogeométrico
elementos finitos
Poisson
B-splines
NURBS
análisis numérico
multiscale
isogeometric analysis
finite elements
Poisson
B- splines
NURBS
numerical analysis
FLOP
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | A numerical method is formulated based on Finite Elements, Isogeometric 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. |
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