WorldCat Identities

Halpern, Laurence

Works: 65 works in 121 publications in 3 languages and 997 library holdings
Genres: Conference papers and proceedings 
Roles: Editor, Thesis advisor, Author, Other, Opponent, htt, Publishing director, 956
Publication Timeline
Most widely held works by Laurence Halpern
Domain Decomposition Methods in Science and Engineering XXII by Thomas Dickopf( )

11 editions published between 2016 and 2018 in English and held by 275 WorldCat member libraries worldwide

These are the proceedings of the 22nd International Conference on Domain Decomposition Methods, which was held in Lugano, Switzerland. With 172 participants from over 24 countries, this conference continued a long-standing tradition of internationally oriented meetings on Domain Decomposition Methods. The book features a well-balanced mix of established and new topics, such as the manifold theory of Schwarz Methods, Isogeometric Analysis, Discontinuous Galerkin Methods, exploitation of modern HPC architectures, and industrial applications. As the conference program reflects, the growing capabilities in terms of theory and available hardware allow increasingly complex non-linear and multi-physics simulations, confirming the tremendous potential and flexibility of the domain decomposition concept

6 editions published in 2020 in English and held by 162 WorldCat member libraries worldwide

Part I Plenary Talks (PT) -- Part II Talks in Minisymposia (MT) -- Part III Contributed Talks and Posters (CT)
Mathematical and numerical aspects of wave propagation phenomena by International Conference on Mathematical and Numerical Aspects of Wave Propagation Phenomena( Book )

9 editions published in 1991 in English and held by 133 WorldCat member libraries worldwide

Absorbing boundaries and layers, domain decomposition methods : applications to large scale computers( Book )

4 editions published in 2001 in English and held by 94 WorldCat member libraries worldwide

CD-ROM contains: Sections omitted from printing of text
Well-posedness of one-way wave equations and absorbing boundary conditions by Lloyd N Trefethen( Book )

3 editions published in 1985 in English and held by 79 WorldCat member libraries worldwide

Variational formulation for a nonlinear elliptic equation in a three-dimensional exterior domain by Christine Bernardi( Book )

1 edition published in 1989 in English and held by 77 WorldCat member libraries worldwide

Domain decomposition methods in science and engineering XXI by Jocelyne Erhel( )

6 editions published in 2014 in English and held by 34 WorldCat member libraries worldwide

This volume contains a selection of papers presented at the 21st international conference on domain decomposition methods in science and engineering held in Rennes, France, June 25-29, 2012. Domain decomposition is an active and interdisciplinary research discipline, focusing on the development, analysis and implementation of numerical methods for massively parallel computers. Domain decomposition methods are among the most efficient solvers for large scale applications in science and engineering. They are based on a solid theoretical foundation and shown to be scalable for many important applications. Domain decomposition techniques can also naturally take into account multiscale phenomena. This book contains the most recent results in this important field of research, both mathematically and algorithmically and allows the reader to get an overview of this exciting branch of numerical analysis and scientific computing
Domain decomposition methods in science and engineering XXIV by Petter E Bjørstad( )

7 editions published between 2018 and 2019 in English and held by 22 WorldCat member libraries worldwide

These are the proceedings of the 24th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in Svalbard, Norway in February 2017. Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These methods are specifically designed to make effective use of massively parallel, high-performance computing systems. The book presents both theoretical and computational advances in this domain, reflecting the state of art in 2017
Domain Decomposition Methods in Science and Engineering XXV( )

1 edition published in 2020 in English and held by 14 WorldCat member libraries worldwide

Introduction à l'analyse numérique des équations différentielles ordinaires et des équations d'évolution linéaire by Laurence Halpern( Book )

1 edition published in 1985 in French and held by 9 WorldCat member libraries worldwide

Review of the methods of reflections by G Ciaramella( Book )

2 editions published in 2017 in English and held by 6 WorldCat member libraries worldwide

The methods of reflections were invented to obtain approximate solutions of the motion of more than one particle in a given environment, provided that one can represent the solution for one particle rather easily. This motivation is quite similar to the motivation of the Schwarz domain decomposition method, which was invented to prove existence and uniqueness of solutions of the Laplace equation on complicated domains, which are composed of simpler ones, for which existence and uniqueness of solutions was known. Like for Schwarz methods, there is also an alternating and a parallel method of reflections, but interestingly, the parallel method is not always convergent. We carefully trace in this paper the historical development of these methods of reflections, give several precise mathematical formulations, an equivalence result with the alternating Schwarz method for two particles, and also an analysis for a one dimensional model problem with three particles of the alternating, parallel, and a recent averaged parallel method of reflections
Approximation paraxiales et conditions aux limites absorbantes by Laurence Halpern( Book )

2 editions published in 1986 in French and held by 6 WorldCat member libraries worldwide

On étudie l'approximation de la partie "montante" de la solution d'une équation de propagation : l'approximation paraxiale. On considère la construction de conditions aux limites approchées sur des frontières artificielles pour simuler un domaine infini : ce sont les conditions aux limites artificielles ou absorbantes
Contribution à la résolution des équations fluides en domaine non borné by Eric Dubach( Book )

1 edition published in 1993 in French and held by 4 WorldCat member libraries worldwide

Cette thèse apporte deux contributions nouvelles pour la résolution des équations de la mécanique des fluides en domaine non borné. Dans des travaux théoriques récents, L. Halpern et J. Rauch développent une méthode de construction de conditions aux limites artificielles pour un opérateur parabolique quelconque. Nous présentons, dans la première partie de ce travail, une validation numérique de cette méthode dans deux cas : les équations de la chaleur et d'advection-diffusion dans un disque. La deuxième partie est consacrée au problème du couplage stationnaire entre les équations d'advection et d'advection-diffusion pour de faibles viscosités. Nous présentons une nouvelle méthode systématique de construction de conditions de transmission adaptées, qui minimisent l'erreur en fonction de la viscosité, dans les cas monodimensionnels et bidimensionnel
Méthode de décomposition de domaine avec adaptation de maillage en espace-temps pour les équations d'Euler et de Navier-Stockes by Oana Alexandra Ciobanu( Book )

3 editions published in 2014 in English and French and held by 4 WorldCat member libraries worldwide

Numerical simulations of more and more complex fluid dynamics phenomena, especially unsteady phenomena, require solving systems of equations with high degrees of freedom. Under their original form, these aerodynamic multi-scale problems are difficult to solve, costly in CPU time and do not allow simulations of large time scales. An implicit formulation, similar to the Schwarz method, with a simple block parallelisation and explicit coupling is no longer sufficient. More robust domain decomposition methods must be conceived so as to make use and adapt to the most of existent hardware.The main aim of this study was to build a parallel in space and in time CFD Finite Volumes code for steady/unsteady problems modelled by Euler and Navier-Stokes equations based on Schwarz method that improves consistency, accelerates convergence and decreases computational cost. First, a study of discretisation and numerical schemes to solve steady and unsteady Euler and Navier-Stokes problems has been conducted. Secondly, an adaptive timespace domain decomposition method has been proposed, as it allows local time stepping in each sub-domain. Thirdly, we have focused our study on the implementation of different parallel computing strategies (OpenMP, MPI, GPU). Numerical results illustrate the efficiency of the method
Méthodes de décomposition de domaines pour des structures hétérogènes by Ibrahima Cissé( Book )

2 editions published in 2009 in French and held by 3 WorldCat member libraries worldwide

The problem of solving numerically partial differential equations with discontinuous coefficients placed in a thin layer is difficult because it requires the discretization scale thickness layer. From a theoretical viewpoint, we talk about singular perturbation problem. From a numerical point of view, we observe that the mesh includes a very large number of elements, which makes our calculations long and sometimes not precise in the layer. In the first part we have studied these issues with asymptotic methods. It is to compute the solution in the asymptotic form with respect to small parameters. This part of work has allowed us to highlight the various difficulties mentioned above. In the second part, we consider another approach with the nonoverlapping domain decomposition methods. In the construction of these methods, the interface conditions must be wisely chosen to take into account not only heterogeneity between sub-domains but also the asymmetry of the decomposition
Calcul pseudodifférentiel et paradifférentiel pour l'étude de conditions aux limites absorbantes et de propriétés qualitatives d'équations aux dérivées partielles non linéaires by Jérémie Szeftel( Book )

2 editions published in 2004 in French and held by 3 WorldCat member libraries worldwide

Nous construisons dans ce travail des conditions aux limites absorbantes pour des équations aux dérivées partielles non linéaires. Il s'agit d'une méthode permettant d'approcher les solutions de telles équations posées sur des domaines non bornés. La pertinence de ce travail est justifiée en particulier par l'intérêt pratique de telles méthodes et par l'absence de résultat pour les problèmes non linéaires dans la littérature scientifique jusqu'à présent. Dans un premier temps, nous construisons des conditions aux limites absorbantes pour l'équation de Schrödinger. Puis nous abordons les problèmes non linéaires et nous proposons deux méthodes: la première stratégie repose sur la linéarisation et l'emploi du calcul pseudodifférentiel, et la seconde stratégie est purement non linéaire et utilise le calcul paradifférentiel. L'atout de ces deux méthodes est qu'elles donnent lieu à des problèmes bien posés, faciles à mettre en oeuvre pour un faible coût numérique
Problèmes faiblement bien posés : discrétisation et applications by Sabrina Petit-Bergez( Book )

in French and held by 3 WorldCat member libraries worldwide

Dans cette thèse, nous nous intéressons à la discrétisation par des schémas aux différences finies de problèmes faiblement bien posés. Nous donnons de nouvelles définitions qui prennent en compte la perte de régularité appairaissant dans les problèmes faiblement bien posés et nous étendons la condition nécessaire et suffisante de convergence de Lax-Richtmyer. En utilisant la théorie des perturbations et le développement en série de Puiseux, nous calculons le taux de convergence des schémas faisant partie d'une certaine classe. Nous illustrons numériquement nos r2sultats. Dans un deuxième temps, nous nous intéressons à un cas particulier de problèmes faiblement bien posés : les couches parfaitement adaptées de Bérenger ou PML. Nous donnons des estimations d'énergie pour les équations de Maxwell que nous étendons au schéma de Yee. Enfin, nous étudions le comportement asymptotique en temps de la solution d'uné équation PML en utilisant l'approximation de l'optique géométrique
Méthodes de décomposition de domaine de type relaxation d'ondes pour des équations de l'océanographie by Véronique Martin( Book )

2 editions published between 2003 and 2006 in French and held by 3 WorldCat member libraries worldwide

L'objectif de cette thèse est d'étudier et de développer des méthodes de décomposition de domaine intervenant dans la modélisation océanique. Ces méthodes ont pour objectif de résoudre numériquement des problèmes de grande taille en les disidant en plusieurs problèmes plus petits et donc plus faciles à résoudre. Les méthodes classiques s'appliquent à des problèmes stationnaires ; la particularité de la méthode que nous développons ici est d'appliquer la décomposition de domaine directement au problème en temps. Ceci nous permet de simuler plus aisément des problèmes multiphysiques. Nous traitons dans un premier temps une équation scalaire : l'équation de convection diffusion puis nous abordons un système : les équations de Saint-Venant. Pour chacune de ces équations nous proposons un algorithme, montrons qu'il est bien posé et qu'il converge. Enfin nous exposons des résultats numériques qui illustrent l'éfficacité de la méthode présentée
Matériaux ferromagnétiques : influence d'un espaceur mince non magnétique et homogénéisation d'agencements multicouches, en présence de couplage sur la frontière by Kévin Santugini Repiquet( Book )

2 editions published in 2004 in French and held by 3 WorldCat member libraries worldwide

[Résume anglais]Ferromagnetic materials are widely used in the industry. In the frame-work of the micromagnetic model introduced by Brown (1940), we study the influence of a thin nonmagnetic spacer on a ferromagnetic body. The evolution problem is modeled by the landau-Lifshitz equation. We take into account phenomena on the surface of the spacer : super exchange and surface anisotropy. We solve the existence problem for this equation with the surface terms. We then establish rigorously an equivalent boundary condition which models the thickness of the spacer on a domain with a thickless spacer. We compute some equilibrium states and the ultrafrequency susceptibility of some configurations. In a second stage, we homogenize the Landau-Lifshitz equation in both perforated and multilayers domains
Numerical simulation of streamer propagation on unstructured dynamically adapted grids by Jan Karel( Book )

3 editions published in 2014 in English and Czech and held by 3 WorldCat member libraries worldwide

Tato dizertační práce se zabývá numerickou simulací propagace streameru (elektrický výbojve vysokonapět'ovém elektrickém poli). Pro popis streameru je použit minimální model, který se skládá ze soustavy transportních rovnic pro elektricky nabité částice spárovaných s Poissonovou rovnicí pro elektrický potenciál. V práci simulujeme obecný pohyb streameru ve 3D. Tento obecný pohyb je prezentován rozvětvením streameru, kterého se dosáhne pomocí lokálních poruch v elektrickem poli. Pro numerickou simulaci streameru jsme vyvinuli meto du založenou na dynamické adaptaci síte, jejíž vlastnosti byly otestováný na jednodušších problé-mech ve 2D (menší časová náročnost). I když jde o jiný typ problému (rovinný výboj), pro vývoj metody je dostatečný a umožňuje snadný přechod do 3D
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WorldCat IdentitiesRelated Identities
Domain Decomposition Methods in Science and Engineering XXII
DOMAIN DECOMPOSITION METHODS IN SCIENCE AND ENGINEERING XXVAbsorbing boundaries and layers, domain decomposition methods : applications to large scale computersDomain decomposition methods in science and engineering XXIDomain decomposition methods in science and engineering XXIV
Alternative Names
Halpern, L.

Halpern, L. (Laurence)

Halpern, Lawrence

English (54)

French (15)

Czech (1)