%0 Journal Article
%T THE GENERALIZED GALERKIN METHOD FOR A CLASS OF NONLINEAR HYPERBOLIC EQUATIONS<br>一类非线性双曲型方程的广义Galerkin方法
%A 李潜
%J 计算数学
%D 1986
%I 
%X In this paper, we consider the generalized Galerkin method for a class of second order nonlinear hyperbolic equations. Stability and error estimares are established for the generalized Galerkin methodwith piecewise linear trial funiction and piecewise constant test function spaces. Op-timal rates of convergence for continuous time and discrete time are established aswell. The order of this collvergence is the same as that of the finite element method.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=5C7F2E003EB5D8C0AFDC12B61C9436C3&yid=4E65715CCF57055A&vid=5D311CA918CA9A03&iid=0B39A22176CE99FB&sid=2DBBF45CC176713E&eid=4C100B7696CE9E24&journal_id=0254-7791&journal_name=计算数学&referenced_num=4&reference_num=0