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Exterior problem of magnetic field in Darwin model and its numerical solution
Author(s) -
Liao Caixiu,
Ying LungAn
Publication year - 2008
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20270
Subject(s) - mathematics , uniqueness , domain (mathematical analysis) , darwin (adl) , mathematical analysis , magnetic field , partial differential equation , weak solution , finite element method , weak formulation , boundary value problem , physics , computer science , thermodynamics , software engineering , quantum mechanics
In this paper, we consider the solutions of magnetic field in the Darwin model to the Maxwell's equations in 2D unbounded domain. We first deduce the variational formulation and prove the well‐posedness of the weak solution, and then prove the existence and uniqueness of the infinite element solution. Error estimate and the numerical examples are provided. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2008