Macca, Emanuele; Loubère, Raphaël; Parés, Carlos; Russo, Giovanni An almost fail-safe a-posteriori limited high-order CAT scheme. (English) Zbl 07797629 J. Comput. Phys. 498, Article ID 112650, 29 p. (2024). MSC: 76Mxx 65Mxx 35Lxx PDFBibTeX XMLCite \textit{E. Macca} et al., J. Comput. Phys. 498, Article ID 112650, 29 p. (2024; Zbl 07797629) Full Text: DOI arXiv
Gallice, Gérard; Chan, Agnes; Loubère, Raphaël; Maire, Pierre-Henri Entropy stable and positivity preserving Godunov-type schemes for multidimensional hyperbolic systems on unstructured grid. (English) Zbl 07578902 J. Comput. Phys. 468, Article ID 111493, 33 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{G. Gallice} et al., J. Comput. Phys. 468, Article ID 111493, 33 p. (2022; Zbl 07578902) Full Text: DOI
Boscheri, Walter; Loubère, Raphaël; Maire, Pierre-Henri A 3D cell-centered ADER MOOD finite volume method for solving updated Lagrangian hyperelasticity on unstructured grids. (English) Zbl 07524776 J. Comput. Phys. 449, Article ID 110779, 38 p. (2022). MSC: 76Mxx 65Mxx 74Sxx PDFBibTeX XMLCite \textit{W. Boscheri} et al., J. Comput. Phys. 449, Article ID 110779, 38 p. (2022; Zbl 07524776) Full Text: DOI HAL
Boscheri, Walter; Dimarco, Giacomo; Loubère, Raphaël; Tavelli, Maurizio; Vignal, Marie-Hélène A second order all Mach number IMEX finite volume solver for the three dimensional Euler equations. (English) Zbl 1440.76094 J. Comput. Phys. 415, Article ID 109486, 30 p. (2020). MSC: 76M12 76N15 65M08 PDFBibTeX XMLCite \textit{W. Boscheri} et al., J. Comput. Phys. 415, Article ID 109486, 30 p. (2020; Zbl 1440.76094) Full Text: DOI HAL
Peshkov, Ilya; Boscheri, Walter; Loubère, Raphaël; Romenski, Evgeniy; Dumbser, Michael Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity. (English) Zbl 1452.74022 J. Comput. Phys. 387, 481-521 (2019). MSC: 74C15 74B20 74S05 74S10 PDFBibTeX XMLCite \textit{I. Peshkov} et al., J. Comput. Phys. 387, 481--521 (2019; Zbl 1452.74022) Full Text: DOI arXiv
Dimarco, Giacomo; Loubère, Raphaël; Michel-Dansac, Victor; Vignal, Marie-Hélène Second-order implicit-explicit total variation diminishing schemes for the Euler system in the low Mach regime. (English) Zbl 1415.76467 J. Comput. Phys. 372, 178-201 (2018). MSC: 76M12 76N15 65M12 65M08 PDFBibTeX XMLCite \textit{G. Dimarco} et al., J. Comput. Phys. 372, 178--201 (2018; Zbl 1415.76467) Full Text: DOI arXiv
Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël; Maire, Pierre-Henri A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics. (English) Zbl 1381.76212 J. Comput. Phys. 358, 103-129 (2018). MSC: 76M12 76N15 76L05 65M08 PDFBibTeX XMLCite \textit{W. Boscheri} et al., J. Comput. Phys. 358, 103--129 (2018; Zbl 1381.76212) Full Text: DOI
Dimarco, Giacomo; Loubère, Raphaël; Narski, Jacek; Rey, Thomas An efficient numerical method for solving the Boltzmann equation in multidimensions. (English) Zbl 1380.76088 J. Comput. Phys. 353, 46-81 (2018). MSC: 76M22 76P05 35Q20 65M70 PDFBibTeX XMLCite \textit{G. Dimarco} et al., J. Comput. Phys. 353, 46--81 (2018; Zbl 1380.76088) Full Text: DOI arXiv
Semplice, Matteo; Loubère, Raphaël Adaptive-mesh-refinement for hyperbolic systems of conservation laws based on a posteriori stabilized high order polynomial reconstructions. (English) Zbl 1380.76067 J. Comput. Phys. 354, 86-110 (2018). MSC: 76M12 76N15 65M50 PDFBibTeX XMLCite \textit{M. Semplice} and \textit{R. Loubère}, J. Comput. Phys. 354, 86--110 (2018; Zbl 1380.76067) Full Text: DOI HAL
Kucharik, M.; Scovazzi, G.; Shashkov, M.; Loubère, R. A multi-scale residual-based anti-hourglass control for compatible staggered Lagrangian hydrodynamics. (English) Zbl 1380.76102 J. Comput. Phys. 354, 1-25 (2018). MSC: 76M25 76D55 76L05 PDFBibTeX XMLCite \textit{M. Kucharik} et al., J. Comput. Phys. 354, 1--25 (2018; Zbl 1380.76102) Full Text: DOI Link
Dumbser, Michael; Loubère, Raphaël A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes. (English) Zbl 1349.65447 J. Comput. Phys. 319, 163-199 (2016). MSC: 65M60 65M08 65M12 PDFBibTeX XMLCite \textit{M. Dumbser} and \textit{R. Loubère}, J. Comput. Phys. 319, 163--199 (2016; Zbl 1349.65447) Full Text: DOI
Dimarco, Giacomo; Loubère, Raphaël; Narski, Jacek Towards an ultra efficient kinetic scheme. part III: high-performance-computing. (English) Zbl 1351.76233 J. Comput. Phys. 284, 22-39 (2015). MSC: 76M28 65M75 65Y10 76P05 82C40 PDFBibTeX XMLCite \textit{G. Dimarco} et al., J. Comput. Phys. 284, 22--39 (2015; Zbl 1351.76233) Full Text: DOI
Boscheri, Walter; Loubère, Raphaël; Dumbser, Michael Direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws. (English) Zbl 1349.76312 J. Comput. Phys. 292, 56-87 (2015). MSC: 76M12 65M08 76N15 PDFBibTeX XMLCite \textit{W. Boscheri} et al., J. Comput. Phys. 292, 56--87 (2015; Zbl 1349.76312) Full Text: DOI
Dimarco, Giacomo; Loubère, Raphaël; Rispoli, Vittorio A multiscale fast semi-Lagrangian method for rarefied gas dynamics. (English) Zbl 1349.76452 J. Comput. Phys. 291, 99-119 (2015). MSC: 76M20 76N15 65M06 76M28 76P05 82C40 PDFBibTeX XMLCite \textit{G. Dimarco} et al., J. Comput. Phys. 291, 99--119 (2015; Zbl 1349.76452) Full Text: DOI
Dumbser, Michael; Zanotti, Olindo; Loubère, Raphaël; Diot, Steven A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws. (English) Zbl 1349.65448 J. Comput. Phys. 278, 47-75 (2014). MSC: 65M60 35L65 35L50 PDFBibTeX XMLCite \textit{M. Dumbser} et al., J. Comput. Phys. 278, 47--75 (2014; Zbl 1349.65448) Full Text: DOI arXiv
Dimarco, Giacomo; Loubere, Raphaël Towards an ultra efficient kinetic scheme. II: The high order case. (English) Zbl 1349.76675 J. Comput. Phys. 255, 699-719 (2013). MSC: 76M28 65M75 76P05 82C40 PDFBibTeX XMLCite \textit{G. Dimarco} and \textit{R. Loubere}, J. Comput. Phys. 255, 699--719 (2013; Zbl 1349.76675) Full Text: DOI arXiv
Dimarco, Giacomo; Loubere, Raphaël Towards an ultra efficient kinetic scheme. I: Basics on the BGK equation. (English) Zbl 1349.76674 J. Comput. Phys. 255, 680-698 (2013). MSC: 76M28 65M75 76P05 82C40 PDFBibTeX XMLCite \textit{G. Dimarco} and \textit{R. Loubere}, J. Comput. Phys. 255, 680--698 (2013; Zbl 1349.76674) Full Text: DOI arXiv
Maire, Pierre-Henri; Abgrall, Rémi; Breil, Jérôme; Loubère, Raphaël; Rebourcet, Bernard A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids. (English) Zbl 1291.74186 J. Comput. Phys. 235, 626-665 (2013). MSC: 74S10 74C05 65M50 74F05 74A15 PDFBibTeX XMLCite \textit{P.-H. Maire} et al., J. Comput. Phys. 235, 626--665 (2013; Zbl 1291.74186) Full Text: DOI
Clain, S.; Diot, S.; Loubère, R. A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD). (English) Zbl 1218.65091 J. Comput. Phys. 230, No. 10, 4028-4050 (2011). MSC: 65M08 35L65 PDFBibTeX XMLCite \textit{S. Clain} et al., J. Comput. Phys. 230, No. 10, 4028--4050 (2011; Zbl 1218.65091) Full Text: DOI
Loubère, Raphaël; Maire, Pierre-Henri; Shashkov, Mikhail; Breil, Jérôme; Galera, Stéphane Reale: a Reconnection-based Arbitrary-Lagrangian-Eulerian method. (English) Zbl 1305.76067 J. Comput. Phys. 229, No. 12, 4724-4761 (2010). MSC: 76M20 65M06 PDFBibTeX XMLCite \textit{R. Loubère} et al., J. Comput. Phys. 229, No. 12, 4724--4761 (2010; Zbl 1305.76067) Full Text: DOI
Schofield, Samuel P.; Garimella, Rao V.; Francois, Marianne M.; Loubère, Raphaël A second-order accurate material-order-independent interface reconstruction technique for multi-material flow simulations. (English) Zbl 1169.76047 J. Comput. Phys. 228, No. 3, 731-745 (2009). MSC: 76M25 PDFBibTeX XMLCite \textit{S. P. Schofield} et al., J. Comput. Phys. 228, No. 3, 731--745 (2009; Zbl 1169.76047) Full Text: DOI
Loubère, R.; Shashkov, M.; Wendroff, B. Volume consistency in a staggered grid Lagrangian hydrodynamics scheme. (English) Zbl 1147.76044 J. Comput. Phys. 227, No. 8, 3731-3737 (2008). MSC: 76M12 76N15 PDFBibTeX XMLCite \textit{R. Loubère} et al., J. Comput. Phys. 227, No. 8, 3731--3737 (2008; Zbl 1147.76044) Full Text: DOI
Bauer, A. L.; Burton, D. E.; Caramana, E. J.; Loubère, R.; Shashkov, M. J.; Whalen, P. P. The internal consistency, stability, and accuracy of the discrete, compatible formulation of Lagrangian hydrodynamics. (English) Zbl 1161.76538 J. Comput. Phys. 218, No. 2, 572-593 (2006). MSC: 76M25 76N15 PDFBibTeX XMLCite \textit{A. L. Bauer} et al., J. Comput. Phys. 218, No. 2, 572--593 (2006; Zbl 1161.76538) Full Text: DOI
Loubère, R.; Caramana, E. J. The force/work differencing of exceptional points in the discrete, compatible formulation of Lagrangian hydrodynamics. (English) Zbl 1173.76389 J. Comput. Phys. 216, No. 1, 1-18 (2006). MSC: 76M25 76M20 PDFBibTeX XMLCite \textit{R. Loubère} and \textit{E. J. Caramana}, J. Comput. Phys. 216, No. 1, 1--18 (2006; Zbl 1173.76389) Full Text: DOI
Caramana, E. J.; Loubère, R. “Curl-\(q\)”: a vorticity damping artificial viscosity for essentially irrotational Lagrangian hydrodynamics calculations. (English) Zbl 1173.76380 J. Comput. Phys. 215, No. 2, 385-391 (2006). MSC: 76M25 PDFBibTeX XMLCite \textit{E. J. Caramana} and \textit{R. Loubère}, J. Comput. Phys. 215, No. 2, 385--391 (2006; Zbl 1173.76380) Full Text: DOI
Loubére, Raphaël; Staley, Martin; Wendroff, Burton The repair paradigm: new algorithms and applications to compressible flow. (English) Zbl 1138.76406 J. Comput. Phys. 211, No. 2, 385-404 (2006). MSC: 76M25 65M99 76N99 PDFBibTeX XMLCite \textit{R. Loubére} et al., J. Comput. Phys. 211, No. 2, 385--404 (2006; Zbl 1138.76406) Full Text: DOI
Loubére, Raphaël; Shashkov, Mikhail J. A subcell remapping method on staggered polygonal grids for arbitrary-Lagrangian-Eulerian methods. (English) Zbl 1329.76236 J. Comput. Phys. 209, No. 1, 105-138 (2005). MSC: 76M20 65N06 76N99 PDFBibTeX XMLCite \textit{R. Loubére} and \textit{M. J. Shashkov}, J. Comput. Phys. 209, No. 1, 105--138 (2005; Zbl 1329.76236) Full Text: DOI