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
Caboussat, Alexandre; Gourzoulidis, Dimitrios A second order time integration method for the approximation of a parabolic 2D Monge-Ampère equation. (English) Zbl 1470.65163 Vermolen, Fred J. (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 – October 4, 2019. Cham: Springer. Lect. Notes Comput. Sci. Eng. 139, 225-234 (2021). MSC: 65M60 65M12 35J96 PDFBibTeX XMLCite \textit{A. Caboussat} and \textit{D. Gourzoulidis}, Lect. Notes Comput. Sci. Eng. 139, 225--234 (2021; Zbl 1470.65163) 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
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
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
Caboussat, Alexandre On the numerical solution of the Dirichlet problem for the elliptic \((\sigma_2)\) equation. (English) Zbl 1328.65233 Fitzgibbon, William (ed.) et al., Modeling, simulation and optimization for science and technology. Selected contributions based on the presentations at the conferences “Optimization and PDE’s with industrial applications”, Jyväskylä, Finland, June, 2012 on the occasion of the 70th birthday of Jaques Périaux and “Optimization and PDE’s with application”, Jyväskylä, Finland, June, 2012 on the occasion of the 75th birthday of Roland Glowinski. Dordrecht: Springer (ISBN 978-94-017-9053-6/hbk; 978-94-017-9054-3/ebook). Computational Methods in Applied Sciences 34, 23-40 (2014). MSC: 65N30 PDFBibTeX XMLCite \textit{A. Caboussat}, Comput. Methods Appl. Sci. 34, 23--40 (2014; Zbl 1328.65233) Full Text: DOI
Caboussat, A.; Miers, G. K. Numerical approximation of electromagnetic signals arising in the evaluation of geological formations. (English) Zbl 1189.86017 Comput. Math. Appl. 59, No. 1, 338-351 (2010). MSC: 86A60 65D30 PDFBibTeX XMLCite \textit{A. Caboussat} and \textit{G. K. Miers}, Comput. Math. Appl. 59, No. 1, 338--351 (2010; Zbl 1189.86017) Full Text: DOI