Galerkin's Method for Some Highly Nonlinear Problems

Galerkin's method is analyzed for mixed initial value-boundary value problems for the following two equations:$\frac {\partial u}{\partial t} - \sum^n_{i = 1} \frac {\partial}{\partial x_i} A_i(x, \nabla u) = f(x, t, u, \nabla u)$and$\frac {\partial^2 u}{\partial t^2} - \sum^n_{i = 1}\frac {\pa...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	SIAM J. Numer. Anal.; (United States) 1977-04, Vol.14 (2), p.327-347
1. Verfasser:	Dendy, J. E.
Format:	Artikel
Sprache:	eng
Schlagworte:	990200 - Mathematics & Computers Application programming interfaces Boundary conditions BOUNDARY-VALUE PROBLEMS Error rates Estimates Estimation methods Galerkin methods GALERKIN-PETROV METHOD GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE Integers ITERATIVE METHODS NONLINEAR PROBLEMS Nonlinearity NUMERICAL SOLUTION Ordinary differential equations Partial differential equations SERIES EXPANSION Sine function
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	Galerkin's method is analyzed for mixed initial value-boundary value problems for the following two equations:$\frac {\partial u}{\partial t} - \sum^n_{i = 1} \frac {\partial}{\partial x_i} A_i(x, \nabla u) = f(x, t, u, \nabla u)$and$\frac {\partial^2 u}{\partial t^2} - \sum^n_{i = 1}\frac {\partial}{\partial x_i} A_i(x, \nabla u) = f(x, t, u, \nabla u).$Optimal order H1and L2convergence estimates are obtained.
ISSN:	0036-1429 1095-7170
DOI:	10.1137/0714021