A posteriori error indicators for Maxwell's equations
نویسندگان
چکیده
منابع مشابه
A posteriori error indicators for Maxwell’s Equations
In this paper we shall analyze a class of a posteriori error indicators for an electromagnetic scattering problem for Maxwell’s equations in the presence of a bounded, inhomogeneous and anisotropic scatterer. Problems of this type arise when computing the interaction of electromagnetic radiation with biological tissue. We brie y recall existence and uniqueness theory associated with this proble...
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Maxwell equations are posed as variational boundary value problems in the function space H(curl) and are discretized by Nédélec finite elements. In Beck et al., 2000, a residual type a posteriori error estimator was proposed and analyzed under certain conditions onto the domain. In the present paper, we prove the reliability of that error estimator on Lipschitz domains. The key is to establish ...
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When numerically solving a set of partial differential equations through a finite element strategy associated with a weak formulation, one usually faces the problem of increasing the accuracy of the solution without adding unnecessary degrees of freedom in non-critical parts of the computational domain. In order to identify these regions, indicators were created which allow their automatic dete...
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Conditions (2) imply that (AD)(t) ∈ Rm×m is singular, with rank (AD)(t) ≡ n. The requirement that D(t) be constant is not a real restriction, as any such system with varying D(t) can be rewritten by introducing a new variable u(t) = D(t)x(t), resulting in a larger system of the type (1) for x̂(t) := (x(t), u(t)) with a constant matrix D̂(t) ≡ D̂, see [4]. We consider collocation solutions p(t) for...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1998
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(98)00187-3