Incompressible flow modeling using an adaptive stabilized finite element method based on residual minimization
"We model incompressible Stokes flows with an adaptive stabilized finite element method, which solves a discretely stable saddle-point problem to approximate the velocity-pressure pair. Additionally, this saddle-point problem delivers a robust error estimator to guide mesh adaptivity. We analyz...
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| Autores principales: | , , |
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| Formato: | Artículos de Publicaciones Periódicas acceptedVersion |
| Lenguaje: | Inglés |
| Publicado: |
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| Materias: | |
| Acceso en línea: | http://ri.itba.edu.ar/handle/123456789/3883 |
| Aporte de: |
| Sumario: | "We model incompressible Stokes flows with an adaptive stabilized finite element method, which solves a discretely stable saddle-point problem to approximate the velocity-pressure pair. Additionally, this saddle-point problem delivers a robust error estimator to guide mesh adaptivity. We analyze the accuracy of different discrete velocity-pressure pairs of continuous finite element spaces, which do not necessarily satisfy the discrete inf-sup condition. We validate the framework's performance with numerical examples." |
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