Stochastic Modeling and Regularity of the Nonlinear Elliptic curl--curl Equation
نویسندگان
چکیده
منابع مشابه
Stochastic Modeling and Regularity of the Nonlinear Elliptic Curl-Curl Equation
This paper addresses the nonlinear elliptic curl–curl equation with uncertainties in the material law. It is frequently employed in the numerical evaluation of magnetostatic fields, where the uncertainty is ascribed to the so–called B–H curve. A truncated Karhunen–Loève approximation of the stochastic B–H curve is presented and analyzed with regard to monotonicity constraints. A stochastic nonl...
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A new hierarchical renumbering technique for sparse matrices arising from the application of the Finite Element Method (FEM) to three-dimensional Maxwell’s equations is presented. It allows the complete Cholesky decomposition of the matrix, which leads to a direct solver of O(N 4/3) memory requirement. In addition, an approximate factorisation yielding a preconditioner for the matrix can be con...
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Like the Helmholtz equation, the high frequency time-harmonic Maxwell’s equations are difficult to solve by classical iterative methods. Domain decomposition methods are currently most promising: following the first provably convergent method in [4], various optimized Schwarz methods were developed over the last decade [2, 3, 10, 11, 1, 6, 13, 14, 16, 8]. There are however two basic formulation...
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ژورنال
عنوان ژورنال: SIAM/ASA Journal on Uncertainty Quantification
سال: 2016
ISSN: 2166-2525
DOI: 10.1137/15m1026535