Auswahl der wissenschaftlichen Literatur zum Thema „Poincaré-Steklov operators“
Geben Sie eine Quelle nach APA, MLA, Chicago, Harvard und anderen Zitierweisen an
Inhaltsverzeichnis
Machen Sie sich mit den Listen der aktuellen Artikel, Bücher, Dissertationen, Berichten und anderer wissenschaftlichen Quellen zum Thema "Poincaré-Steklov operators" bekannt.
Neben jedem Werk im Literaturverzeichnis ist die Option "Zur Bibliographie hinzufügen" verfügbar. Nutzen Sie sie, wird Ihre bibliographische Angabe des gewählten Werkes nach der nötigen Zitierweise (APA, MLA, Harvard, Chicago, Vancouver usw.) automatisch gestaltet.
Sie können auch den vollen Text der wissenschaftlichen Publikation im PDF-Format herunterladen und eine Online-Annotation der Arbeit lesen, wenn die relevanten Parameter in den Metadaten verfügbar sind.
Zeitschriftenartikel zum Thema "Poincaré-Steklov operators"
Novikov, R. G., und I. A. Taimanov. „Darboux Moutard Transformations and Poincaré—Steklov Operators“. Proceedings of the Steklov Institute of Mathematics 302, Nr. 1 (August 2018): 315–24. http://dx.doi.org/10.1134/s0081543818060160.
Der volle Inhalt der QuelleDeparis, Simone, Marco Discacciati, Gilles Fourestey und Alfio Quarteroni. „Fluid–structure algorithms based on Steklov–Poincaré operators“. Computer Methods in Applied Mechanics and Engineering 195, Nr. 41-43 (August 2006): 5797–812. http://dx.doi.org/10.1016/j.cma.2005.09.029.
Der volle Inhalt der QuelleDemidov, A. S., und A. S. Samokhin. „Explicit Numerically Implementable Formulas for Poincaré–Steklov Operators“. Computational Mathematics and Mathematical Physics 64, Nr. 2 (Februar 2024): 237–47. http://dx.doi.org/10.1134/s0965542524020040.
Der volle Inhalt der QuelleNatarajan, Ramesh. „Domain Decomposition Using Spectral Expansions of Steklov–Poincaré Operators“. SIAM Journal on Scientific Computing 16, Nr. 2 (März 1995): 470–95. http://dx.doi.org/10.1137/0916029.
Der volle Inhalt der QuelleXu, Jinchao, und Shuo Zhang. „Norms of Discrete Trace Functions of (Ω) and (Ω)“. Computational Methods in Applied Mathematics 12, Nr. 4 (2012): 500–512. http://dx.doi.org/10.2478/cmam-2012-0025.
Der volle Inhalt der QuelleACHDOU, YVES, und FREDERIC NATAF. „PRECONDITIONERS FOR THE MORTAR METHOD BASED ON LOCAL APPROXIMATIONS OF THE STEKLOV-POINCARÉ OPERATOR“. Mathematical Models and Methods in Applied Sciences 05, Nr. 07 (November 1995): 967–97. http://dx.doi.org/10.1142/s0218202595000516.
Der volle Inhalt der QuelleNatarajan, Ramesh. „Domain Decomposition using Spectral Expansions of Steklov--Poincaré Operators II: A Matrix Formulation“. SIAM Journal on Scientific Computing 18, Nr. 4 (Juli 1997): 1187–99. http://dx.doi.org/10.1137/s1064827594274309.
Der volle Inhalt der QuelleNICAISE, SERGE, und ANNA-MARGARETE SÄNDIG. „TRANSMISSION PROBLEMS FOR THE LAPLACE AND ELASTICITY OPERATORS: REGULARITY AND BOUNDARY INTEGRAL FORMULATION“. Mathematical Models and Methods in Applied Sciences 09, Nr. 06 (August 1999): 855–98. http://dx.doi.org/10.1142/s0218202599000403.
Der volle Inhalt der QuelleHao, Sijia, und Per-Gunnar Martinsson. „A direct solver for elliptic PDEs in three dimensions based on hierarchical merging of Poincaré–Steklov operators“. Journal of Computational and Applied Mathematics 308 (Dezember 2016): 419–34. http://dx.doi.org/10.1016/j.cam.2016.05.013.
Der volle Inhalt der QuelleZhang, Yi, Varun Jain, Artur Palha und Marc Gerritsma. „The Discrete Steklov–Poincaré Operator Using Algebraic Dual Polynomials“. Computational Methods in Applied Mathematics 19, Nr. 3 (01.07.2019): 645–61. http://dx.doi.org/10.1515/cmam-2018-0208.
Der volle Inhalt der QuelleDissertationen zum Thema "Poincaré-Steklov operators"
Zreik, Mahdi. „Spectral properties of Dirac operators on certain domains“. Electronic Thesis or Diss., Bordeaux, 2024. http://www.theses.fr/2024BORD0085.
Der volle Inhalt der QuelleThis thesis mainly focused on the spectral analysis of perturbation models of the free Dirac operator, in 2-D and 3-D space.The first chapter of this thesis examines perturbation of the Dirac operator by a large mass M, supported on a domain. Our main objective is to establish, under the condition of sufficiently large mass M, the convergence of the perturbed operator, towards the Dirac operator with the MIT bag condition, in the norm resolvent sense. To this end, we introduce what we refer to the Poincaré-Steklov (PS) operators (as an analogue of the Dirichlet-to-Neumann operators for the Laplace operator) and analyze them from the microlocal point of view, in order to understand precisely the convergence rate of the resolvent. On one hand, we show that the PS operators fit into the framework of pseudodifferential operators and we determine their principal symbols. On the other hand, since we are mainly concerned with large masses, we treat our problem from the semiclassical point of view, where the semiclassical parameter is h = M^{-1}. Finally, by establishing a Krein formula relating the resolvent of the perturbed operator to that of the MIT bag operator, and using the pseudodifferential properties of the PS operators combined with the matrix structures of the principal symbols, we establish the required convergence with a convergence rate of mathcal{O}(M^{-1}).In the second chapter, we define a tubular neighborhood of the boundary of a given regular domain. We consider perturbation of the free Dirac operator by a large mass M, within this neighborhood of thickness varepsilon:=M^{-1}. Our primary objective is to study the convergence of the perturbed Dirac operator when M tends to +infty. Comparing with the first part, we get here two MIT bag limit operators, which act outside the boundary. It's worth noting that the decoupling of these two MIT bag operators can be considered as the confining version of the Lorentz scalar delta interaction of Dirac operator, supported on a closed surface. The methodology followed, as in the previous problem study the pseudodifferential properties of Poincaré-Steklov operators. However, the novelty in this problem lies in the control of these operators by tracking the dependence on the parameter varepsilon, and consequently, in the convergence as varepsilon goes to 0 and M goes to +infty. With these ingredients, we prove that the perturbed operator converges in the norm resolvent sense to the Dirac operator coupled with Lorentz scalar delta-shell interaction.In the third chapter, we investigate the generalization of an approximation of the three-dimensional Dirac operator coupled with a singular combination of electrostatic and Lorentz scalar delta-interactions supported on a closed surface, by a Dirac operator with a regular potential localized in a thin layer containing the surface. In the non-critical and non-confining cases, we show that the regular perturbed Dirac operator converges in the strong resolvent sense to the singular delta-interaction of the Dirac operator. Moreover, we deduce that the coupling constants of the limit operator depend nonlinearly on those of the potential under consideration.In the last chapter, our study focuses on the two-dimensional Dirac operator coupled with the electrostatic and Lorentz scalar delta-interactions. We treat in low regularity Sobolev spaces (H^{1/2}) the self-adjointness of certain realizations of these operators in various curve settings. The most important case in this chapter arises when the curves under consideration are curvilinear polygons, with smooth, differentiable edges and without cusps. Under certain conditions on the coupling constants, using the Fredholm property of certain boundary integral operators, and exploiting the explicit form of the Cauchy transform on non-smooth curves, we achieve the self-adjointness of the perturbed operator
Hilal, Mohammed Azeez. „Domain decomposition like methods for solving an electrocardiography inverse problem“. Thesis, Nantes, 2016. http://www.theses.fr/2016NANT4060.
Der volle Inhalt der QuelleThe aim of the this thesis is to study an electrocardiography (ECG) problem, modeling the cardiac electrical activity by using the stationary bidomain model. Tow types of modeling are considered :The modeling based on direct mathematical model and the modeling based on an inverse Cauchy problem. In the first case, the direct problem is solved by using domain decomposition methods and the approximation by finite elements method. For the inverse Cauchy problem of ECG, it was reformulated into a fixed point problem. In the second case, the existence and uniqueness of fixed point based on the topological degree of Leray-Schauder is showed. Then, some regularizing and stable iterative algorithms based on the techniques of domain decomposition method was developed. Finally, the efficiency and the accurate of the obtained results was discussed
Perlich, Lars. „Holomorphic Semiflows and Poincaré-Steklov Semigroups“. Doctoral thesis, 2019. https://tud.qucosa.de/id/qucosa%3A36097.
Der volle Inhalt der QuelleWe study a surprising connection between semiflows of holomorphic selfmaps of a simply connected domain and semigroups generated by Poincaré-Steklov operators. In particular, by means of generators of semigroups of composition operators on Banach spaces of analytic functions, we construct Dirichlet-to-Neumann and Dirichlet-to-Robin operators. This approach gives new insights to the theory of partial differential equations associated with such operators.
Held, Joachim. „Ein Gebietszerlegungsverfahren für parabolische Probleme im Zusammenhang mit Finite-Volumen-Diskretisierung“. Doctoral thesis, 2006. http://hdl.handle.net/11858/00-1735-0000-0006-B39E-E.
Der volle Inhalt der QuelleBuchteile zum Thema "Poincaré-Steklov operators"
Khoromskij, Boris N., und Gabriel Wittum. „Elliptic Poincaré-Steklov Operators“. In Lecture Notes in Computational Science and Engineering, 37–62. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18777-3_2.
Der volle Inhalt der QuelleQuarteroni, A., und A. Valli. „Theory and Application of Steklov-Poincaré Operators for Boundary-Value Problems“. In Applied and Industrial Mathematics, 179–203. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-009-1908-2_14.
Der volle Inhalt der QuelleHu, Qiya. „A New Kind of Multilevel Solver for Second Order Steklov-Poincaré Operators“. In Lecture Notes in Computational Science and Engineering, 391–98. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-75199-1_49.
Der volle Inhalt der QuelleNovotny, Antonio André, Jan Sokołowski und Antoni Żochowski. „Steklov–Poincaré Operator for Helmholtz Equation“. In Applications of the Topological Derivative Method, 41–50. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-05432-8_3.
Der volle Inhalt der QuelleGosse, Laurent. „Viscous Equations Treated with $$\mathcal{L}$$ -Splines and Steklov-Poincaré Operator in Two Dimensions“. In Innovative Algorithms and Analysis, 167–95. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49262-9_6.
Der volle Inhalt der Quelle