Finite element analysis of an A–ϕ method for time-dependent Maxwell’s equations based on explicit-magnetic-field scheme

Ma, Changfeng; Wang, Desheng

doi:10.1016/j.amc.2007.02.008

Applied Mathematics and Computation

2007

DOI: 10.1016/j.amc.2007.02.008

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Finite element analysis of an A–ϕ method for time-dependent Maxwell’s equations based on explicit-magnetic-field scheme

Changfeng Ma¹,

Desheng Wang²

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Cited by 3 publications

References 17 publications

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The Method of Multi-Scale Asymptotic Expansions and Its Corresponding Finite Element Algorithm for the Problem of Heat Exchange in Composite Plane Wall

Guan

Tan

2010

Int. J. Mod. Phys. B

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In this paper, we discuss the problem of heat exchange in composite plane wall whose heat transmitting coefficient is not a locally periodic function. For that problem, we present a method of multiscale asymptotic expansions and then propose its corresponding FE algorithm. Of course, we give comprehensive theoretical analysis for the FE algorithm. Finally, we use numerical experiments to investigate them.

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The Method of Multi-Scale Asymptotic Expansions and Its Corresponding Finite Element Algorithm for the Problem of Heat Exchange in Composite Plane Wall

Guan

Tan

2010

Int. J. Mod. Phys. B

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The Method of Multiscale Asymptotic Expansions for the Problem of Heat Exchange in Composite Plane Wall With Stationary Random Fields

Guan

Zhang

2011

Int. J. Mod. Phys. B

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Some Estimates of a Multi-Scale Finite Element Algorithm for Elliptic Problems With Rapidly Oscillating Coefficients

Yong²,

Guan

2011

Int. J. Mod. Phys. B

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Finite element analysis of an A–ϕ method for time-dependent Maxwell’s equations based on explicit-magnetic-field scheme

Cited by 3 publications

References 17 publications

The Method of Multi-Scale Asymptotic Expansions and Its Corresponding Finite Element Algorithm for the Problem of Heat Exchange in Composite Plane Wall

The Method of Multi-Scale Asymptotic Expansions and Its Corresponding Finite Element Algorithm for the Problem of Heat Exchange in Composite Plane Wall

The Method of Multiscale Asymptotic Expansions for the Problem of Heat Exchange in Composite Plane Wall With Stationary Random Fields

Some Estimates of a Multi-Scale Finite Element Algorithm for Elliptic Problems With Rapidly Oscillating Coefficients

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