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EXPONENTIAL MESH APPROXIMATIONS FOR A 3D EXTERIOR PROBLEM IN MAGNETIC INDUCTION

Journal of Computational Mathematics 2005年第2期23卷 131-152页

作者： SéraphinM.Mefire LaboratoireAmiénoisdeMathématiqueFondamentaleetAppliquée CNRSUMR6140UniversitddePicardieJules-Verne33r.Saint-Leu80039AmiensCedex1France

A numerical method combining the approaches of C.I. Goldstein and L.-A. Ying is used for the simulation in three-dimensional magnetostatics related to an exterior problem in magnetic induction. Recently introduced, this method is based on the use of a graded mesh obtained by gluing homothetic layers in the exterior domain and has been performed in the case of edge element discretizations. In this work, the theoretical and practical aspects of the method are inspected in the case of face element and volume element discretizations,for computing a magnetic induction. Error estimates, implementations, and numerical results are provided.

关键词： exterior problems magnetostatics mixed formulations graded meshes faceelements volume elements boundary elements truncations error estimates

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Existence of T-solution for Degenerated Problem via Minty's Lemma

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Acta Mathematica Sinica,English Series 2008年第3期24卷 431-438页

作者： Y.AKDIME E.AZROUL M.RHOUDAF Département de Mathématiques et Informatique Facultédes Sciences Dhar-Mahraz B. P 1796 Atlas Fès Maroc

We study the existence result of solutions for the nonlinear degenerated elliptic problem of the form, -div（a（x, u,△↓u）） = F in Ω, where Ω is a bounded domain of R^N, N≥2, a ：Ω×R×R^N→R^N is a Carathéodory function satisfying the natural growth condition and the coercivity condition, but they verify only the large monotonicity. The second term F belongs to W^-1,p′（Ω, w^＊）. The existence result is proved by using the L^1-version of Minty＇s lemma.

关键词： weighted Sobolev spaces truncations L^1-version of Minty's lemma

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CONTINUOUS-TIME KIEFER-WOLFOWITZ ALGORITHM WITH RANDOMIZED DIFFERENCES

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Systems Science and Mathematical Sciences 1998年第4期11卷 327-341页

作者： CHEN Hanfu WANG Qian(Institute Of Systems Science, Academia Silica, Beijing 100080, China) 中科院系统科学所北京

A continuous-time Kiefer-Wolfowitz algorithm with randomized differences andwith truncations at randomly varying bounds is proposed. It is shown that the algorithmconverges to the desired value almost surely under mil... 详细信息

关键词： Continuous-time stochastic approximation random truncations randomized differences stochastic delay differential equation asymptotic normality

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Existence of a Renormalised Solutions for a Class of Nonlinear Degenerated Parabolic Problems with L1 Data

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Journal of Partial Differential Equations 2013年第1期26卷 76-98页

作者： AKDIM y BENNOUNA j MEKKOUR M. REDWANE H. Department of Mathematics Laboratory LAMA University of Fez Faculty of Sciences Dhar El Mahraz B.P. 1796. Atlas Fez Morocco. Facultd des Sciences Juridiques Economiques et Sociales Universit's Hassan 1 B.P. 784. Settat Morocco.

We study the existence of renormalized solutions for a class of nonlinear degenerated parabolic problem. The Carath6odory function satisfying the coercivity condition, the growth condition and only the large monotonic... 详细信息

关键词： Weighted Sobolev spaces truncations nonlinear doubling parabolic equation renor-malized solutions.

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Study of an Uplift of Sargodha High by Stratigraphical and Structural Interpretation of an East-West Seismic Profile in Central Indus Basin, Pakistan

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International Journal of Geosciences 2014年第9期5卷 1027-1036页

作者： Shazia Asim Shahid Nadeem Qureshi Nasir Khan China University of Geosciences (CUG) Wuhan China COMSATS Institute of Information Technology (CIIT) Islamabad Pakistan

Research Area comprises of Punjab Monocline, Sulaiman Foredeep and Eastern Part of Sulaiman Fold Belt (from east to west) in Central Indus Basin, Pakistan. Sargodha High is located in northeast of a Seismic Profile AB. Time and Depth models show the subsurface crustal variations near Sargodha High, which separates Upper Indus Basin from Central Indus Basin. The deposition of Pre-Cambrian sediments is uniform in area and Paleozoic sediments (Permian & Cambrian) are thinning in west. Mesozoic sediments (Cretaceous, Jurassic & Triassic) and younger sediments (Paleocene) are not deposited in this part suggesting an uplift of Sargodha High during Paleozoic time. An uneven distribution of Paleozoic rocks shows some thickness in east but erosion, thinning and almost truncation in west indicate their depocenter in east. This also represents a time of uplift of Sargodha High that shifts depocenter westward. Seismic data show a thick Mesozoic deposition in west, which onlaps on the Permo-Triassic unconformity suggesting an area of non-deposition. The gradual uplift of Sargodha high continues, which tilts the Mesozoic strata forming wedge shape geometry.

关键词： Uplift Unconformities Structural truncations Depo-Center Basement

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Existence and Uniqueness of Renormalized Solution of Nonlinear Degenerated Elliptic Problems

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Analysis in Theory and Applications 2014年第3期30卷 318-343页

作者： Youssef Akdim Chakir Allalou Facult Poly-disciplinaire de Taza B.P 1223 Taza Gare Maroc

In this paper, We study a general class of nonlinear degenerated elliptic problems associated with the differential inclusion β（u）-div（α（x, Du）＋F（u）） ∈ f in fΩ, where f ∈ L1 （Ω）. A vector field a（.,.） is a Carath6odory function. Using truncation techniques and the generalized monotonicity method in the functional spaces we prove the existence of renormalized solutions for general L1-data. Under an additional strict monotonicity assumption uniqueness of the renormalized solution is established.

关键词： Weighted Sobolev spaces Hardy inequality truncations maximal monotone graphe,degenerated elliptic operators.

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