An Alternating Direction Galerkin Method for a Class of Second-Order Hyperbolic Equations in Two Space Variables

A new alternating-direction implicit (ADI) Galerkin method is devised and analyzed for solving a certain class of second-order hyperbolic initial-boundary value problems in two space variables. This class includes the wave equation in Cartesian coordinates, polar coordinates, and cylindrical coordin...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	SIAM journal on numerical analysis 1991-10, Vol.28 (5), p.1265-1281
Hauptverfasser:	Fernandes, Ryan I., Fairweather, Graeme
Format:	Artikel
Sprache:	eng
Schlagworte:	Albs Applied mathematics Approximation Area of dominant influence Boundary value problems Cauchy Schwarz inequality Estimation methods Exact sciences and technology Galerkin methods Logical proofs Mathematics Methods Numerical analysis Numerical analysis. Scientific computation Sciences and techniques of general use Triangle inequalities Variables Wave equations
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	A new alternating-direction implicit (ADI) Galerkin method is devised and analyzed for solving a certain class of second-order hyperbolic initial-boundary value problems in two space variables. This class includes the wave equation in Cartesian coordinates, polar coordinates, and cylindrical coordinates with radial symmetry. Optimal a priori H10- and L2-error estimates are derived.
ISSN:	0036-1429 1095-7170
DOI:	10.1137/0728067