# Exterior problem of the Darwin model and its numerical computation

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

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topYing, Lung-An, and Li, Fengyan. "Exterior problem of the Darwin model and its numerical computation." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 37.3 (2003): 515-532. <http://eudml.org/doc/245759>.

@article{Ying2003,

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 = {Ying, Lung-An, Li, Fengyan},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

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

language = {eng},

number = {3},

pages = {515-532},

publisher = {EDP-Sciences},

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

url = {http://eudml.org/doc/245759},

volume = {37},

year = {2003},

}

TY - JOUR

AU - Ying, Lung-An

AU - Li, Fengyan

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

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2003

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; Maxwell's equations

UR - http://eudml.org/doc/245759

ER -

## References

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- [7] T.-T. Li and T. Qin, Physics and Partial Differential Equations. Higher Education Press, Beijing (1997).
- [8] R. Temam, Navier-Stokes Equations, Theory and Numerical Analysis. 3rd ed., North-Holland (1984). Zbl0568.35002MR769654
- [9] L.-A. Ying, Infinite element approximation to axial symmetric Stokes flow. J. Comput. Math. 4 (1986) 111–120. Zbl0598.76034
- [10] L.-A. Ying, Infinite Element Methods. Peking University Press, Beijing and Vieweg and Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden (1995). Zbl0832.65120MR1350539

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