Comparison between lagrange multiplier and penalty methods to enforce essential boundary conditions in meshfree methods
A simulation of a cantilever beam was carried out with the aim of compared the performance of two Meshfree methods, Element Free Galerkin Method and Radial Point Interpolation Method, using two different methods to impose the Essential Boundary Conditions. The results were validated with the analyti...
- Autores:
-
Ramirez-Salazar, Juan Fernando
Mesa-Munera, Elizabeth
Branch Bedoya, John Willian
Boulanger, Pierre
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2011
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/33406
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/33406
http://bdigital.unal.edu.co/23486/
- Palabra clave:
- Essential Boundary Condition Enforcement
Penalty Method
Lagrange Multiplier Method
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | A simulation of a cantilever beam was carried out with the aim of compared the performance of two Meshfree methods, Element Free Galerkin Method and Radial Point Interpolation Method, using two different methods to impose the Essential Boundary Conditions. The results were validated with the analytical solution of the problem, obtained by Timoshenko in [Tim70]. It was possible to conclude that both methods show a good performance for the solution of the simulated problem. However, some consideration must be taken into account when these are applied to other types of approximation that cannot easily satisfy essential boundary conditions. |
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