Caboussat, Alexandre; Glowinski, Roland; Gourzoulidis, Dimitrios A least-squares method for the solution of the non-smooth prescribed Jacobian equation. (English) Zbl 1497.65222 J. Sci. Comput. 93, No. 1, Paper No. 15, 32 p. (2022). MSC: 65N30 65K10 49M20 49M41 35F30 31A30 35B65 PDFBibTeX XMLCite \textit{A. Caboussat} et al., J. Sci. Comput. 93, No. 1, Paper No. 15, 32 p. (2022; Zbl 1497.65222) Full Text: DOI
Liu, Hao; Glowinski, Roland; Leung, Shingyu; Qian, Jianliang A finite element/operator-splitting method for the numerical solution of the three dimensional Monge-Ampère equation. (English) Zbl 1433.35157 J. Sci. Comput. 81, No. 3, 2271-2302 (2019). MSC: 35J96 65N30 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Sci. Comput. 81, No. 3, 2271--2302 (2019; Zbl 1433.35157) Full Text: DOI
Caboussat, Alexandre; Glowinski, Roland; Gourzoulidis, Dimitrios; Picasso, Marco Numerical approximation of orthogonal maps. (English) Zbl 1435.65195 SIAM J. Sci. Comput. 41, No. 6, B1341-B1367 (2019). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65K10 65D18 65N20 49M20 35F30 PDFBibTeX XMLCite \textit{A. Caboussat} et al., SIAM J. Sci. Comput. 41, No. 6, B1341--B1367 (2019; Zbl 1435.65195) Full Text: DOI
Glowinski, Roland; Liu, Hao; Leung, Shingyu; Qian, Jianliang A finite element/operator-splitting method for the numerical solution of the two dimensional elliptic Monge-Ampère equation. (English) Zbl 1447.65141 J. Sci. Comput. 79, No. 1, 1-47 (2019); correction ibid. 79, No. 1, 48 (2019). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65J20 35J96 PDFBibTeX XMLCite \textit{R. Glowinski} et al., J. Sci. Comput. 79, No. 1, 1--47 (2019; Zbl 1447.65141) Full Text: DOI
Caboussat, Alexandre; Glowinski, Roland; Gourzoulidis, Dimitrios A least-squares/relaxation method for the numerical solution of the three-dimensional elliptic Monge-Ampère equation. (English) Zbl 1407.65284 J. Sci. Comput. 77, No. 1, 53-78 (2018). MSC: 65N30 65K10 35J96 49M15 65M12 PDFBibTeX XMLCite \textit{A. Caboussat} et al., J. Sci. Comput. 77, No. 1, 53--78 (2018; Zbl 1407.65284) Full Text: DOI
Caboussat, Alexandre; Glowinski, Roland An alternating direction method of multipliers for the numerical solution of a fully nonlinear partial differential equation involving the Jacobian determinant. (English) Zbl 1380.65363 SIAM J. Sci. Comput. 40, No. 1, A52-A80 (2018). MSC: 65N30 65K10 49M20 35F30 PDFBibTeX XMLCite \textit{A. Caboussat} and \textit{R. Glowinski}, SIAM J. Sci. Comput. 40, No. 1, A52--A80 (2018; Zbl 1380.65363) Full Text: DOI
Velasco, D. Assaely León; Glowinski, Roland; Valencia, L. Héctor Juárez On the controllability of diffusion processes on a sphere: a numerical study. (English) Zbl 1353.49042 ESAIM, Control Optim. Calc. Var. 22, No. 4, 1054-1077 (2016). MSC: 49M25 93B05 49K20 65K10 65M60 93C20 58E25 PDFBibTeX XMLCite \textit{D. A. L. Velasco} et al., ESAIM, Control Optim. Calc. Var. 22, No. 4, 1054--1077 (2016; Zbl 1353.49042) Full Text: DOI
Caboussat, Alexandre; Glowinski, Roland A penalty-regularization-operator splitting method for the numerical solution of a scalar eikonal equation. (English) Zbl 1325.65089 Chin. Ann. Math., Ser. B 36, No. 5, 659-688 (2015). MSC: 65K10 35F21 49J20 49M20 PDFBibTeX XMLCite \textit{A. Caboussat} and \textit{R. Glowinski}, Chin. Ann. Math., Ser. B 36, No. 5, 659--688 (2015; Zbl 1325.65089) Full Text: DOI
Caboussat, Alexandre; Glowinski, Roland A numerical algorithm for a fully nonlinear PDE involving the Jacobian determinant. (English) Zbl 1328.65234 Abdulle, Assyr (ed.) et al., Numerical mathematics and advanced applications – ENUMATH 2013. Proceedings of ENUMATH 2013, the 10th European conference on numerical mathematics and advanced applications, Lausanne, Switzerland, August 26–30, 2013. Cham: Springer (ISBN 978-3-319-10704-2/hbk; 978-3-319-10705-9/ebook). Lecture Notes in Computational Science and Engineering 103, 143-151 (2015). MSC: 65N30 PDFBibTeX XMLCite \textit{A. Caboussat} and \textit{R. Glowinski}, Lect. Notes Comput. Sci. Eng. 103, 143--151 (2015; Zbl 1328.65234) Full Text: DOI Link
Bonito, Andrea; Glowinski, Roland On the nodal set of the eigenfunctions of the Laplace-Beltrami operator for bounded surfaces in \(\mathbb R^3\): a computational approach. (English) Zbl 1304.65244 Commun. Pure Appl. Anal. 13, No. 5, 2115-2126 (2014). MSC: 65N25 35P15 65N30 58J05 PDFBibTeX XMLCite \textit{A. Bonito} and \textit{R. Glowinski}, Commun. Pure Appl. Anal. 13, No. 5, 2115--2126 (2014; Zbl 1304.65244) Full Text: DOI