%0 Journal Article %1 citeulike:11656202 %A Lesaint, P. %D 1973 %I Springer Berlin / Heidelberg %J Numerische Mathematik %K discontinuous-galerkin 65n08-pdes-bvps-finite-volumes %N 3 %P 244--255 %R 10.1007/bf01436628 %T Finite element methods for symmetric hyperbolic equations %U http://dx.doi.org/10.1007/bf01436628 %V 21 %X A finite difference method for the solution of symmetric positive differential equations has already been developped (Katsanis 4). The finite difference solutions where shown to converge at the rate O(ith 1/2 ) as h approaches zero, h being the maximum distance between two adjacent mesh points. Here we try to get a better rate of convergence, using a Rayleigh Ritz Galerkin method.

@article{citeulike:11656202, abstract = {{A finite difference method for the solution of symmetric positive differential equations has already been developped (Katsanis [4]). The finite difference solutions where shown to converge at the rate O(ith 1/2 ) as h approaches zero, h being the maximum distance between two adjacent mesh points. Here we try to get a better rate of convergence, using a Rayleigh Ritz Galerkin method.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Lesaint, P.}, biburl = {https://www.bibsonomy.org/bibtex/2b1e900ee4d0e354b2a4ca28abf9b519f/gdmcbain}, citeulike-article-id = {11656202}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/bf01436628}, citeulike-linkout-1 = {http://www.springerlink.com/content/h8n227568q71031w}, comment = {cited by Di Pietro \& Ern (2012)}, day = 21, doi = {10.1007/bf01436628}, interhash = {7e27843c13eafcd8386916cb04d6cd66}, intrahash = {b1e900ee4d0e354b2a4ca28abf9b519f}, issn = {0029-599X}, journal = {Numerische Mathematik}, keywords = {discontinuous-galerkin 65n08-pdes-bvps-finite-volumes}, month = jun, number = 3, pages = {244--255}, posted-at = {2012-11-09 15:17:57}, priority = {2}, publisher = {Springer Berlin / Heidelberg}, timestamp = {2019-04-17T01:37:09.000+0200}, title = {{Finite element methods for symmetric hyperbolic equations}}, url = {http://dx.doi.org/10.1007/bf01436628}, volume = 21, year = 1973 }