Multi-parameter Div-Curl lemmas
نویسندگان
چکیده
منابع مشابه
Meshless Polyharmonic Div-Curl Reconstruction
In this paper, we will discuss the meshless polyharmonic reconstruction of vector fields from scattered data, possibly, contaminated by noise. We give an explicit solution of the problem. After some theoretical framework, we discuss some numerical aspect arising in the problems related to the reconstruction of vector fields.
متن کاملTwo-scale div-curl lemma
The div-curl lemma, one of the basic results of the theory of compensated compactness of Murat and Tartar, does not take over to the case in which the two factors two-scale converge in the sense of Nguetseng. A suitable modification of the differential operators however allows for this extension. The argument follows the lines of a well-known paper of F. Murat of 1978, and uses a two-scale exte...
متن کاملDifferential geometry and multigrid for the div-grad, curl-curl and grad-div equations
This paper is concerned with the application of principles of differential geometry in multigrid for the div-grad, curl-curl and grad-div equations. First, the discrete counterpart of the formulas for edge, face and volume elements are used to derive a sequence of a commuting edge, face and volume prolongator from an arbitrary partition of unity nodal prolongator. The implied coarse topology an...
متن کاملDIRECT DISCRETIZATION OF PLANAR div - curl PROBLEMS
A control volume method is proposed for planar div-curl systems. The method is independent of potential and least squares formulations, and works directly with the div-curl system. The novelty of the technique lies in its use of a single local vector field component and two control volumes rather than the other way round. A discrete vector field theory comes quite naturally from this idea and i...
متن کاملDiv-curl lemma revisited: Applications in electromagnetism
Two new time-dependent versions of div-curl results in a bounded domain Ω ⊂ R are presented. We study a limit of the product vkwk, where the sequences vk and wk belong to L2(Ω). In Theorem 2.1 we assume that ∇× vk is bounded in the Lp-norm and ∇ ·wk is controlled in the Lr-norm. In Theorem 2.2 we suppose that ∇ ×wk is bounded in the Lp-norm and ∇ · wk is controlled in the Lr-norm. The time deri...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2012
ISSN: 0024-6093
DOI: 10.1112/blms/bds037