Title :
An upwind finite volume element method for nonlinear evolutional problem and theory analysis
Author :
Fu-zheng Gao ; Tian-de Zhang ; Feng Chang
Author_Institution :
Sch. of Math., Shandong Univ., Jinan, China
Abstract :
An upwind finite volume element method (FVEM) is constructed for computing the nonlinear evolutional problems. The priori error estimates in L2-norm and H1-norm are derived to determine the errors in the approximate solution. Numerical experiment shows that the method is a very effective engineering computing method.
Keywords :
finite element analysis; finite volume methods; nonlinear estimation; H1-norm; L2-norm; nonlinear evolutional problem; priori error estimation; upwind finite volume element method; Convergence; Dispersion; Equations; Finite element methods; Interpolation; Oscillators;
Conference_Titel :
Natural Computation (ICNC), 2011 Seventh International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-9950-2
DOI :
10.1109/ICNC.2011.6022522