Two-time level ADI finite volume method for a class of second-order hyperbolic problems
type: Item
instance of: scholarly article
title: Two-time level ADI finite volume method for a class of second-order hyperbolic problems
zbMATH Open document ID: 1186.65120
author: Min Yang
published in: Applied Mathematics and Computation
publication date: 2010-02-09T00:00:00Z
review text: This paper is concerned with a two-time level alternating direction implicit (ADI) method for approximation of solutions of some hyperbolic problems in a planar rectangle. The author uses the finite volume method, the biquadratic finite element space as the solution space and the Crank-Nicholson approach for the time stepping. The main result of the paper presents optimal estimates of the second-order accuracy in the \(H^1\) norm. Some numerical computations are also performed to illustrate the achievements of the method.
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 65M08
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 5667969
zbMATH Keywords: alternating direction implicit method
zbMATH Keywords: finite volume method
zbMATH Keywords: hyperbolic problem
zbMATH Keywords: error estimates
zbMATH Keywords: numerical examples
zbMATH Keywords: finite volume
zbMATH Keywords: Crank-Nicholson approach
MaRDI profile type: Publication
full work available at URL: j.amc.2009.10.011
OpenAlex ID: W2092425488
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DOI: 10.1016/J.AMC.2009.10.011
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description: scientific article; zbMATH DE number 5667969