Error analysis of a SUPG-stabilized POD-ROM method for convection-diffusion-reaction equations
A reduced order model (ROM) method based on proper orthogonal decomposition (POD) is analyzed for convection-diffusion-reaction equations. The streamline-upwind Petrov–Galerkin (SUPG) stabilization is used in the practically interesting case of dominant convection, both for the full order method (FO...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad Autónoma de Madrid |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uam.es:10486/717681 |
| Acceso en línea: | http://hdl.handle.net/10486/717681 https://dx.doi.org/10.1016/j.camwa.2022.07.017 |
| Access Level: | acceso abierto |
| Palabra clave: | A posteriori error estimation convection-diffusion-reaction equations convection-dominated regime error analysis SUPG-ROM method Matemáticas |
| Sumario: | A reduced order model (ROM) method based on proper orthogonal decomposition (POD) is analyzed for convection-diffusion-reaction equations. The streamline-upwind Petrov–Galerkin (SUPG) stabilization is used in the practically interesting case of dominant convection, both for the full order method (FOM) and the ROM simulations. The asymptotic choice of the stabilization parameter for the SUPG-ROM is done as proposed in the literature. This paper presents a finite element convergence analysis of the SUPG-ROM method for errors in different norms. The constants in the error bounds are uniform with respect to small diffusion coefficients. An approach for a posteriori error estimation is discussed. Numerical studies illustrate the performance of the SUPG-ROM method |
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