Title :
Global Superconvergence Estimates of Petrov-Galerkin Methods for Hyperbolic Equations
Author_Institution :
Res. Center for Math. & Econ., Tianjin Univ. of Finance & EconomicsGalerkin, Tianjin, China
Abstract :
In this paper, Petrov-Galerkin methods are employed for numerical solutions to hyperbolic partial differential equations, which are important mathematical models with many applications in engineering, such as wave transmission, petroleum reservoir. By virtue of superclose analysis and an interpolation postprocessing technique, the global superconvergence is obtained, which is new even for elliptic partial differential equations.
Keywords :
Galerkin method; convergence of numerical methods; elliptic equations; hyperbolic equations; interpolation; partial differential equations; Petrov-Galerkin method; elliptic partial differential equation; hyperbolic partial differential equation; interpolation postprocessing technique; numerical solution; superclose analysis; superconvergence; Equations; Extrapolation; Finite element methods; Interpolation; Mathematical model; Moment methods; Partial differential equations;
Conference_Titel :
Database Technology and Applications (DBTA), 2010 2nd International Workshop on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-6975-8
Electronic_ISBN :
978-1-4244-6977-2
DOI :
10.1109/DBTA.2010.5659048
