%0 Report %1 citeulike:10445552 %A Droniou, Jerome %A Eymard, Robert %D 2006 %K 35q30-navier-stokes-equations 76d07-stokes-and-related-oseen-etc-flows 76m12-finite-volume-methods-in-fluid-mechanics %N hal-00110911 %R https://dx.doi.org/10.1002/num.20333 %T Study of the Mixed Finite Volume Method for Stokes and Navier-Stokes Equations %U http://hal.archives-ouvertes.fr/hal-00110911 %X We present finite volume schemes for Stokes and Navier-Stokes equations. These schemes are based on the mixed finite volume introduced in 6, and can be applied on any type of grid (without ``orthogonality'' assumptions as for classical finite volume methods) and in any space dimension. We present numerical results on some irregular grids, and we prove, for both Stokes and Navier-Stokes equations, the convergence of the scheme toward a solution of the continuous problem. %7 1

@techreport{citeulike:10445552, abstract = {We present finite volume schemes for Stokes and Navier-Stokes equations. These schemes are based on the mixed finite volume introduced in 6, and can be applied on any type of grid (without ``orthogonality'' assumptions as for classical finite volume methods) and in any space dimension. We present numerical results on some irregular grids, and we prove, for both Stokes and Navier-Stokes equations, the convergence of the scheme toward a solution of the continuous problem.}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Droniou, Jerome and Eymard, Robert}, biburl = {https://www.bibsonomy.org/bibtex/2a14f68d562625e6084d95ca2345c7ebc/gdmcbain}, citeulike-article-id = {10445552}, citeulike-attachment-1 = {droniou_06_study.pdf; /pdf/user/gdmcbain/article/10445552/762688/droniou_06_study.pdf; 553f99c9c762e3cf0a3ba0caa1605d32cc90fb34}, citeulike-linkout-0 = {http://hal.archives-ouvertes.fr/hal-00110911}, day = 2, doi = {https://dx.doi.org/10.1002/num.20333}, edition = 1, file = {droniou_06_study.pdf}, interhash = {e3f4031f7415c71066b7935e153a0e30}, intrahash = {a14f68d562625e6084d95ca2345c7ebc}, keywords = {35q30-navier-stokes-equations 76d07-stokes-and-related-oseen-etc-flows 76m12-finite-volume-methods-in-fluid-mechanics}, month = nov, number = {hal-00110911}, posted-at = {2012-03-13 02:33:40}, priority = {2}, timestamp = {2020-11-05T06:28:28.000+0100}, title = {Study of the Mixed Finite Volume Method for {S}tokes and {N}avier-{S}tokes Equations}, url = {http://hal.archives-ouvertes.fr/hal-00110911}, year = 2006 }