Littérature scientifique sur le sujet « Unfitted mesh methods »
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Articles de revues sur le sujet "Unfitted mesh methods"
Fernández, Miguel A., et Mikel Landajuela. « Splitting schemes and unfitted-mesh methods for the coupling of an incompressible fluid with a thin-walled structure ». IMA Journal of Numerical Analysis 40, no 2 (30 janvier 2019) : 1407–53. http://dx.doi.org/10.1093/imanum/dry098.
Texte intégralHeimann, Fabian, Christoph Lehrenfeld, Paul Stocker et Henry von Wahl. « Unfitted Trefftz discontinuous Galerkin methods for elliptic boundary value problems ». ESAIM : Mathematical Modelling and Numerical Analysis, 1 août 2023. http://dx.doi.org/10.1051/m2an/2023064.
Texte intégralJankuhn, Thomas, Maxim A. Olshanskii, Arnold Reusken et Alexander Zhiliakov. « Error analysis of higher order trace finite element methods for the surface Stokes equation ». Journal of Numerical Mathematics, 4 octobre 2020. http://dx.doi.org/10.1515/jnma-2020-0017.
Texte intégralKirchhart, Matthias. « On particles and splines in bounded domains ». ESAIM : Mathematical Modelling and Numerical Analysis, 6 mai 2020. http://dx.doi.org/10.1051/m2an/2020032.
Texte intégralYang, Fanyi. « The least squares finite element method for elasticity interface problem on unfitted mesh ». ESAIM : Mathematical Modelling and Numerical Analysis, 7 mars 2024. http://dx.doi.org/10.1051/m2an/2024015.
Texte intégralCorti, Daniele, Guillaume Delay, Miguel A. Fernández, Fabien Vergnet et Marina Vidrascu. « Low-order fictitious domain method with enhanced mass conservation for an interface Stokes problem ». ESAIM : Mathematical Modelling and Numerical Analysis, 19 décembre 2023. http://dx.doi.org/10.1051/m2an/2023103.
Texte intégralIdesman, Alexander, et Bikash Dey. « 3rd and 11th orders of accuracy of ‘linear’ and ‘quadratic’ elements for Poisson equation with irregular interfaces on Cartesian meshes ». International Journal of Numerical Methods for Heat & ; Fluid Flow, 31 décembre 2021. http://dx.doi.org/10.1108/hff-09-2021-0596.
Texte intégralErdbrügger, Tim, Andreas Westhoff, Malte Höltershinken, Jan-Ole Radecke, Yvonne Buschermöhle, Alena Buyx, Fabrice Wallois et al. « CutFEM forward modeling for EEG source analysis ». Frontiers in Human Neuroscience 17 (22 août 2023). http://dx.doi.org/10.3389/fnhum.2023.1216758.
Texte intégralPetö, Márton, Fabian Duvigneau, Daniel Juhre et Sascha Eisenträger. « Enhanced numerical integration scheme based on image compression techniques : Application to rational polygonal interpolants ». Archive of Applied Mechanics, 12 septembre 2020. http://dx.doi.org/10.1007/s00419-020-01772-6.
Texte intégralThèses sur le sujet "Unfitted mesh methods"
Landajuela, Larma Mikel. « Coupling schemes and unfitted mesh methods for fluid-structure interaction ». Thesis, Paris 6, 2016. http://www.theses.fr/2016PA066053/document.
Texte intégralThis thesis is devoted to the numerical approximation of mechanical systems involving the interaction of a deformable thin-walled structure with an internal or surrounding incompressible fluid flow. In the first part, we introduce two new classes of explicit coupling schemes using fitted meshes. The methods proposed combine a certain Robin-consistency in the system with (i) a projection-based time-marching in the fluid or (ii) second-order time-stepping in both the fluid and the solid. The stability properties of the methods are analyzed within representative linear settings. This part includes also a comprehensive numerical study in which state-of-the-art coupling schemes (including some of the methods proposed herein) are compared and validated against the results of an experimental benchmark. In the second part, we consider unfitted mesh formulations. The spatial discretization in this case is based on variants of Nitsche’s method with cut elements. We present two new classes of splitting schemes which exploit the aforementioned interface Robin-consistency in the unfitted framework. The semi-implicit or explicit nature of the splitting in time is dictated by the order in which the spatial and time discretizations are performed. In the case of the coupling with immersed structures, weak and strong discontinuities across the interface are allowed for the velocity and pressure, respectively. Stability and error estimates are provided within a linear setting. A series of numerical tests illustrates the performance of the different methods proposed
Corti, Daniele Carlo. « Numerical methods for immersed fluid-structure interaction with enhanced interfacial mass conservation ». Electronic Thesis or Diss., Sorbonne université, 2024. http://www.theses.fr/2024SORUS176.
Texte intégralThe present thesis is dedicated to the modeling, numerical analysis, and simu- lation of fluid-structure interaction problems involving thin-walled structures immersed in incompressible viscous fluid. The underlying motivation behind this work is the simulation of the fluid-structure interaction phenomena involved in cardiac valves. From a methodological standpoint, special focus is placed on unfitted mesh methods that guarantee accuracy without compromising computational complexity. An essential aspect is ensuring mass conservation across the fluid-structure interface. An extension of the unfitted mesh Nitsche-XFEM method reported in Alauzet et al. (2016) to three dimensions is first pro- posed, addressing both fully and partially intersected fluid domains. To achieve this, a robust general tessellation algorithm has been developed without relying on black-box mesh generators. Additionally, a novel approach for enforcing continuity in partially intersected domains is introduced. However, in situations involving contact phenomena with multiple interfaces, the computational implementation becomes exceedingly complex, particularly in 3D. Subsequently, an innovative low-order fictitious domain method is introduced, which mitigates inherent mass conservation issues arising from continuous pressure approximation by incorporating a single velocity constraint. A comprehensive a priori error analysis for a Stokes problem with a Dirichlet constraint on an immersed interface is provided. Finally, this fictitious domain approach is formulated within a fluid-structure interaction framework with general thin-walled solids and successfully applied to simulate the dynamics of the aortic valve
Rapports d'organisations sur le sujet "Unfitted mesh methods"
Martín, A., L. Cirrottola, A. Froehly, R. Rossi et C. Soriano. D2.2 First release of the octree mesh-generation capabilities and of the parallel mesh adaptation kernel. Scipedia, 2021. http://dx.doi.org/10.23967/exaqute.2021.2.010.
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