Galerkin methods and L2-error estimates for hyperbolic integro-differential equations

J. R. Cannon; Yanping Lin; Chong Yuan Xie

doi:10.1007/BF02575729

Galerkin methods and L²-error estimates for hyperbolic integro-differential equations

J. R. Cannon, Yanping Lin, Chong Yuan Xie

Research output: Journal article publication › Journal article › Academic research › peer-review

12 Citations (Scopus)

Abstract

In this paper we shall study Galerkin approximations to the solution of linear second-order hyperbolic integro-differential equations. The continuous and Crank-Nicolson discrete time Galerkin procedures will be defined and optimal error estimates for these procedures are demonstrated by using a "non-classical" elliptic projection.

Original language	English
Pages (from-to)	197-207
Number of pages	11
Journal	Calcolo
Volume	26
Issue number	2-4
DOIs	https://doi.org/10.1007/BF02575729
Publication status	Published - 1 Jun 1989
Externally published	Yes

Keywords

AMS(MOS) subject classification: 65J10, 65N30
Error estimate
Galerkin method
hyperbolic
non-classical H projection 1

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics

More information

10.1007/BF02575729

Cite this

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title = "Galerkin methods and L2-error estimates for hyperbolic integro-differential equations",

abstract = "In this paper we shall study Galerkin approximations to the solution of linear second-order hyperbolic integro-differential equations. The continuous and Crank-Nicolson discrete time Galerkin procedures will be defined and optimal error estimates for these procedures are demonstrated by using a {"}non-classical{"} elliptic projection.",

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AU - Lin, Yanping

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N2 - In this paper we shall study Galerkin approximations to the solution of linear second-order hyperbolic integro-differential equations. The continuous and Crank-Nicolson discrete time Galerkin procedures will be defined and optimal error estimates for these procedures are demonstrated by using a "non-classical" elliptic projection.

AB - In this paper we shall study Galerkin approximations to the solution of linear second-order hyperbolic integro-differential equations. The continuous and Crank-Nicolson discrete time Galerkin procedures will be defined and optimal error estimates for these procedures are demonstrated by using a "non-classical" elliptic projection.

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KW - Galerkin method

KW - hyperbolic

KW - non-classical H projection 1

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