Abonnement à la biblothèque: Guest
International Journal for Multiscale Computational Engineering

Publication de 6  numéros par an

ISSN Imprimer: 1543-1649

ISSN En ligne: 1940-4352

The Impact Factor measures the average number of citations received in a particular year by papers published in the journal during the two preceding years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) IF: 1.4 To calculate the five year Impact Factor, citations are counted in 2017 to the previous five years and divided by the source items published in the previous five years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) 5-Year IF: 1.3 The Immediacy Index is the average number of times an article is cited in the year it is published. The journal Immediacy Index indicates how quickly articles in a journal are cited. Immediacy Index: 2.2 The Eigenfactor score, developed by Jevin West and Carl Bergstrom at the University of Washington, is a rating of the total importance of a scientific journal. Journals are rated according to the number of incoming citations, with citations from highly ranked journals weighted to make a larger contribution to the eigenfactor than those from poorly ranked journals. Eigenfactor: 0.00034 The Journal Citation Indicator (JCI) is a single measurement of the field-normalized citation impact of journals in the Web of Science Core Collection across disciplines. The key words here are that the metric is normalized and cross-disciplinary. JCI: 0.46 SJR: 0.333 SNIP: 0.606 CiteScore™:: 3.1 H-Index: 31

Indexed in

Multiscale and Residual-Free Bubble Functions for Reaction-Advection-Diffusion Problems

Volume 3, Numéro 3, 2005, pp. 297-312
DOI: 10.1615/IntJMultCompEng.v3.i3.40
Get accessGet access

RÉSUMÉ

We propose a finite element method based on enriching the Galerkin approximation spaces with a combination of multiscale functions and residual-free bubbles (RFB). This approach is presented as a Petrov-Galerkin method and applied to the singularly perturbed reaction-advection-diffusion model. Numerical tests confirm that switching RFB by suitable multiscale functions in the elements connected to the outflow boundaries of the domain improves the accuracy of the solution in this region.

CITÉ PAR
  1. Franca L. P., Ramalho J. V. A., Valentin F., Enriched finite element methods for unsteady reaction-diffusion problems, Communications in Numerical Methods in Engineering, 22, 6, 2005. Crossref

  2. Barrenechea Gabriel R., Franca Leopoldo P., Valentin Frédéric, A Symmetric Nodal Conservative Finite Element Method for the Darcy Equation, SIAM Journal on Numerical Analysis, 47, 5, 2009. Crossref

  3. Bochev Pavel B., Gunzburger Max D., Lehoucq Richard B., On stabilized finite element methods for the Stokes problem in the small time step limit, International Journal for Numerical Methods in Fluids, 53, 4, 2007. Crossref

  4. Gravemeier V., The variational multiscale method for laminar and turbulent flow, Archives of Computational Methods in Engineering, 13, 2, 2006. Crossref

  5. Hsieh Po-Wen, Yang Suh-Yuh, A Novel Least-Squares Finite Element Method Enriched with Residual-Free Bubbles for Solving Convection-Dominated Problems, SIAM Journal on Scientific Computing, 32, 4, 2010. Crossref

  6. Turner D. Z., Nakshatrala K. B., Hjelmstad K. D., A stabilized formulation for the advection-diffusion equation using the Generalized Finite Element Method, International Journal for Numerical Methods in Fluids, 66, 1, 2011. Crossref

  7. Hsieh Po-Wen, Yang Suh-Yuh, A bubble-stabilized least-squares finite element method for steady MHD duct flow problems at high Hartmann numbers, Journal of Computational Physics, 228, 22, 2009. Crossref

  8. Hachem E., Digonnet H., Kosseifi N., Massoni E., Coupez T., Enriched finite element spaces for transient conduction heat transfer, Applied Mathematics and Computation, 217, 8, 2010. Crossref

  9. Araya Rodolfo, Barrenechea Gabriel R., Franca Leopoldo P., Valentin Frédéric, Stabilization arising from PGEM: A review and further developments, Applied Numerical Mathematics, 59, 9, 2009. Crossref

  10. Ramirez Manuel, Moreles Miguel Angel, On the Finite Increment Calculus method for stabilizing advection-diffusion equations, analysis and computation of the stabilization parameter, International Journal for Numerical Methods in Fluids, 70, 3, 2012. Crossref

  11. Duan Huo-Yuan, Hsieh Po-Wen, Tan Roger C.E., Yang Suh-Yuh, Analysis of a new stabilized finite element method for the reaction–convection–diffusion equations with a large reaction coefficient, Computer Methods in Applied Mechanics and Engineering, 247-248, 2012. Crossref

  12. Baysal Onur, Bubble and multiscale stabilization of bilinear finite element methods for transient advection–diffusion equations on rectangular grids, Journal of Computational and Applied Mathematics, 259, 2014. Crossref

  13. Sendur A., Nesliturk A., Kaya A., Applications of the pseudo residual-free bubbles to the stabilization of the convection–diffusion–reaction problems in 2D, Computer Methods in Applied Mechanics and Engineering, 277, 2014. Crossref

  14. Duan Huoyuan, Qiu Fengjuan, A new stabilized finite element method for advection-diffusion-reaction equations, Numerical Methods for Partial Differential Equations, 32, 2, 2016. Crossref

  15. Hsieh Po-Wen, Yang Suh-Yuh, A new stabilized linear finite element method for solving reaction–convection–diffusion equations, Computer Methods in Applied Mechanics and Engineering, 307, 2016. Crossref

  16. Madureira Alexandre L., Two-Dimensional Reaction-Diffusion Equations, in Numerical Methods and Analysis of Multiscale Problems, 2017. Crossref

  17. Cheung Siu Wun, Guha Nilabja, Dynamic data-driven Bayesian GMsFEM, Journal of Computational and Applied Mathematics, 353, 2019. Crossref

  18. Carrillo Ruben, Moreles Miguel Angel, Herrera Rafael, Equivalence of DEC and box methods for the diffusion–advection–reaction equation, Boletín de la Sociedad Matemática Mexicana, 27, 2, 2021. Crossref

  19. ŞENDUR Ali, NATESAN Srinivasan, SINGH Gautam, Error estimates for a fully discrete $\varepsilon$-uniform finite element method on quasi uniform meshes, Hacettepe Journal of Mathematics and Statistics, 2021. Crossref

  20. Barrenechea Gabriel R., Valentin Frédéric, A residual local projection method for the Oseen equation, Computer Methods in Applied Mechanics and Engineering, 199, 29-32, 2010. Crossref

Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections Prix et politiques d'abonnement Begell House Contactez-nous Language English 中文 Русский Português German French Spain