# Exterior problem of the Darwin model and its numerical computation

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 37, Issue: 3, page 515-532
- ISSN: 0764-583X

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topLung-an Ying, and Li, Fengyan. "Exterior problem of the Darwin model and its numerical computation ." ESAIM: Mathematical Modelling and Numerical Analysis 37.3 (2010): 515-532. <http://eudml.org/doc/194176>.

@article{Lung2010,

abstract = {
In this paper, we study the exterior boundary value problems of the Darwin
model to the Maxwell's equations. The variational formulation is established
and the existence and uniqueness is proved. We use the infinite element method
to solve the problem, only a small amount of computational work is needed.
Numerical examples are given as well as a proof of convergence.
},

author = {Lung-an Ying, Li, Fengyan},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Darwin model; Maxwell's equations; exterior
problem; infinite element method.; exterior problem; infinite element method},

language = {eng},

month = {3},

number = {3},

pages = {515-532},

publisher = {EDP Sciences},

title = {Exterior problem of the Darwin model and its numerical computation },

url = {http://eudml.org/doc/194176},

volume = {37},

year = {2010},

}

TY - JOUR

AU - Lung-an Ying

AU - Li, Fengyan

TI - Exterior problem of the Darwin model and its numerical computation

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 37

IS - 3

SP - 515

EP - 532

AB -
In this paper, we study the exterior boundary value problems of the Darwin
model to the Maxwell's equations. The variational formulation is established
and the existence and uniqueness is proved. We use the infinite element method
to solve the problem, only a small amount of computational work is needed.
Numerical examples are given as well as a proof of convergence.

LA - eng

KW - Darwin model; Maxwell's equations; exterior
problem; infinite element method.; exterior problem; infinite element method

UR - http://eudml.org/doc/194176

ER -

## References

top- P. Ciarlet Jr and J. Zou, Finite element convergence for the Darwin model to Maxwell's equations. Math. Modelling Numer. Anal.31 (1997) 213–250. Zbl0887.65121
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- D.W. Hewett and C. Nielson, A multidimensional quasineutral plasma simulation model. J. Comput. Phys.29 (1978) 219–236. Zbl0388.76108
- O.A. Ladyzhenskaya,The Mathematical Theory of Viscous Incompressible Flow. 2nd ed., Gordon and Breach, New York (1969). Zbl0184.52603
- T.-T. Li and T. Qin, Physics and Partial Differential Equations. Higher Education Press, Beijing (1997).
- R. Temam, Navier-Stokes Equations, Theory and Numerical Analysis. 3rd ed., North-Holland (1984). Zbl0568.35002
- L.-A. Ying, Infinite element approximation to axial symmetric Stokes flow. J. Comput. Math.4 (1986) 111–120. Zbl0598.76034
- L.-A.Ying, Infinite Element Methods. Peking University Press, Beijing and Vieweg and Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden (1995).

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