Yin, Xi-Yuan; Schneider, Kai; Nave, Jean-Christophe A characteristic mapping method for the three-dimensional incompressible Euler equations. (English) Zbl 07652796 J. Comput. Phys. 477, Article ID 111876, 25 p. (2023). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{X.-Y. Yin} et al., J. Comput. Phys. 477, Article ID 111876, 25 p. (2023; Zbl 07652796) Full Text: DOI
Yin, Xi-Yuan; Mercier, Olivier; Yadav, Badal; Schneider, Kai; Nave, Jean-Christophe A characteristic mapping method for the two-dimensional incompressible Euler equations. (English) Zbl 07508440 J. Comput. Phys. 424, Article ID 109781, 26 p. (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{X.-Y. Yin} et al., J. Comput. Phys. 424, Article ID 109781, 26 p. (2021; Zbl 07508440) Full Text: DOI arXiv
Yin, Xi-Yuan; Chen, Linan; Nave, Jean-Christophe A diffusion-driven characteristic mapping method for particle management. (English) Zbl 07398765 SIAM J. Sci. Comput. 43, No. 5, A3155-A3183 (2021). MSC: 65D18 65M25 65M50 65M75 PDFBibTeX XMLCite \textit{X.-Y. Yin} et al., SIAM J. Sci. Comput. 43, No. 5, A3155--A3183 (2021; Zbl 07398765) Full Text: DOI arXiv
Mercier, Olivier; Yin, Xi-Yuan; Nave, Jean-Christophe The characteristic mapping method for the linear advection of arbitrary sets. (English) Zbl 1476.65216 SIAM J. Sci. Comput. 42, No. 3, A1663-A1685 (2020). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65M25 65M06 65Y20 PDFBibTeX XMLCite \textit{O. Mercier} et al., SIAM J. Sci. Comput. 42, No. 3, A1663--A1685 (2020; Zbl 1476.65216) Full Text: DOI arXiv
Marques, Alexandre Noll; Nave, Jean-Christophe; Rosales, Rodolfo Ruben Imposing jump conditions on nonconforming interfaces for the correction function method: a least squares approach. (English) Zbl 1453.65384 J. Comput. Phys. 397, Article ID 108869, 17 p. (2019). MSC: 65N06 35J05 35R05 PDFBibTeX XMLCite \textit{A. N. Marques} et al., J. Comput. Phys. 397, Article ID 108869, 17 p. (2019; Zbl 1453.65384) Full Text: DOI arXiv
Marques, Alexandre Noll; Nave, Jean-Christophe; Rosales, Rodolfo Ruben High order solution of Poisson problems with piecewise constant coefficients and interface jumps. (English) Zbl 1380.65224 J. Comput. Phys. 335, 497-515 (2017). MSC: 65M30 35J05 35R05 PDFBibTeX XMLCite \textit{A. N. Marques} et al., J. Comput. Phys. 335, 497--515 (2017; Zbl 1380.65224) Full Text: DOI arXiv
Tcheng, Alexandra; Nave, Jean-Christophe A low complexity algorithm for non-monotonically evolving fronts. (English) Zbl 1371.65087 J. Sci. Comput. 69, No. 3, 1165-1191 (2016). MSC: 65M06 65M12 35F21 65M15 49L25 65Y20 PDFBibTeX XMLCite \textit{A. Tcheng} and \textit{J.-C. Nave}, J. Sci. Comput. 69, No. 3, 1165--1191 (2016; Zbl 1371.65087) Full Text: DOI arXiv
Kolomenskiy, Dmitry; Nave, Jean-Christophe; Schneider, Kai Adaptive gradient-augmented level set method with multiresolution error estimation. (English) Zbl 1338.35290 J. Sci. Comput. 66, No. 1, 116-140 (2016). MSC: 35L65 35Q35 65M25 65M50 PDFBibTeX XMLCite \textit{D. Kolomenskiy} et al., J. Sci. Comput. 66, No. 1, 116--140 (2016; Zbl 1338.35290) Full Text: DOI arXiv
Shirokoff, D.; Nave, J.-C. A sharp-interface active penalty method for the incompressible Navier-Stokes equations. (English) Zbl 1309.76144 J. Sci. Comput. 62, No. 1, 53-77 (2015). MSC: 76M20 76M22 65N06 65N35 65N85 PDFBibTeX XMLCite \textit{D. Shirokoff} and \textit{J. C. Nave}, J. Sci. Comput. 62, No. 1, 53--77 (2015; Zbl 1309.76144) Full Text: DOI arXiv
Kohno, Haruhiko; Nave, Jean-Christophe A new method for the level set equation using a hierarchical-gradient truncation and remapping technique. (English) Zbl 1301.65100 Comput. Phys. Commun. 184, No. 6, 1547-1554 (2013). MSC: 65M20 35L02 PDFBibTeX XMLCite \textit{H. Kohno} and \textit{J.-C. Nave}, Comput. Phys. Commun. 184, No. 6, 1547--1554 (2013; Zbl 1301.65100) Full Text: DOI
Marques, Alexandre Noll; Nave, Jean-Christophe; Rosales, Rodolfo Ruben A correction function method for Poisson problems with interface jump conditions. (English) Zbl 1453.35054 J. Comput. Phys. 230, No. 20, 7567-7597 (2011). MSC: 35J05 35R05 65N06 PDFBibTeX XMLCite \textit{A. N. Marques} et al., J. Comput. Phys. 230, No. 20, 7567--7597 (2011; Zbl 1453.35054) Full Text: DOI arXiv
Nave, Jean-Christophe; Rosales, Rodolfo Ruben; Seibold, Benjamin A gradient-augmented level set method with an optimally local, coherent advection scheme. (English) Zbl 1189.65214 J. Comput. Phys. 229, No. 10, 3802-3827 (2010). MSC: 65M25 35L45 65M12 PDFBibTeX XMLCite \textit{J.-C. Nave} et al., J. Comput. Phys. 229, No. 10, 3802--3827 (2010; Zbl 1189.65214) Full Text: DOI arXiv