Studies on some perfectly matched layers for one-dimensional time-dependent systems

Yanping Lin; Kai Zhang; Jun Zou

doi:10.1007/s10444-007-9055-2

Studies on some perfectly matched layers for one-dimensional time-dependent systems

Yanping Lin, Kai Zhang, Jun Zou

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

14 Citations (Scopus)

Abstract

We will analyze some perfectly matched layers (PMLs) for the one-dimensional time-dependent Maxwell system, acoustic equations and hyperbolic systems in unbounded domains. The exponential decays and convergence of the PML solutions are studied. Some finite difference schemes are proposed for the PML equations and their stability and convergence are established.

Original language	English
Pages (from-to)	1-35
Number of pages	35
Journal	Advances in Computational Mathematics
Volume	30
Issue number	1
DOIs	https://doi.org/10.1007/s10444-007-9055-2
Publication status	Published - 1 Jan 2009
Externally published	Yes

Keywords

Exponential decay
Finite differences
Perfectly matched layers
Time-dependent systems

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

More information

10.1007/s10444-007-9055-2

Cite this

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abstract = "We will analyze some perfectly matched layers (PMLs) for the one-dimensional time-dependent Maxwell system, acoustic equations and hyperbolic systems in unbounded domains. The exponential decays and convergence of the PML solutions are studied. Some finite difference schemes are proposed for the PML equations and their stability and convergence are established.",

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AU - Zhang, Kai

AU - Zou, Jun

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N2 - We will analyze some perfectly matched layers (PMLs) for the one-dimensional time-dependent Maxwell system, acoustic equations and hyperbolic systems in unbounded domains. The exponential decays and convergence of the PML solutions are studied. Some finite difference schemes are proposed for the PML equations and their stability and convergence are established.

AB - We will analyze some perfectly matched layers (PMLs) for the one-dimensional time-dependent Maxwell system, acoustic equations and hyperbolic systems in unbounded domains. The exponential decays and convergence of the PML solutions are studied. Some finite difference schemes are proposed for the PML equations and their stability and convergence are established.

KW - Exponential decay

KW - Finite differences

KW - Perfectly matched layers

KW - Time-dependent systems

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DO - 10.1007/s10444-007-9055-2

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EP - 35

JO - Advances in Computational Mathematics

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Studies on some perfectly matched layers for one-dimensional time-dependent systems

Abstract

Keywords

ASJC Scopus subject areas

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