Ciaramella, Gabriele; Halpern, Laurence; Mechelli, Luca Convergence analysis and optimization of a Robin Schwarz waveform relaxation method for time-periodic parabolic optimal control problems. (English) Zbl 07807983 J. Comput. Phys. 496, Article ID 112572, 25 p. (2024). MSC: 65Nxx 65Mxx 49Mxx PDFBibTeX XMLCite \textit{G. Ciaramella} et al., J. Comput. Phys. 496, Article ID 112572, 25 p. (2024; Zbl 07807983) Full Text: DOI
Delourme, Bérangère; Halpern, Laurence A complex homographic best approximation problem. Application to optimized Robin-Schwarz algorithms, and optimal control problems. (English) Zbl 1469.30080 SIAM J. Numer. Anal. 59, No. 3, 1769-1810 (2021). MSC: 30E10 41A10 PDFBibTeX XMLCite \textit{B. Delourme} and \textit{L. Halpern}, SIAM J. Numer. Anal. 59, No. 3, 1769--1810 (2021; Zbl 1469.30080) Full Text: DOI
Gander, Martin J.; Halpern, Laurence; Rannou, Johann; Ryan, Juliette A direct time parallel solver by diagonalization for the wave equation. (English) Zbl 1407.65175 SIAM J. Sci. Comput. 41, No. 1, A220-A245 (2019). MSC: 65M55 65M12 65Y05 74B20 PDFBibTeX XMLCite \textit{M. J. Gander} et al., SIAM J. Sci. Comput. 41, No. 1, A220--A245 (2019; Zbl 1407.65175) Full Text: DOI
Delourme, Bérangère; Halpern, Laurence; Nguyen, Binh Thanh Optimized Schwarz methods for elliptic optimal control problems. (English) Zbl 1443.65422 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 215-222 (2018). MSC: 65N55 65N06 49M25 49J20 93C20 PDFBibTeX XMLCite \textit{B. Delourme} et al., Lect. Notes Comput. Sci. Eng. 125, 215--222 (2018; Zbl 1443.65422) Full Text: DOI
Gander, Martin J.; Halpern, Laurence Time parallelization for nonlinear problems based on diagonalization. (English) Zbl 1367.65118 Lee, Chang-Ock (ed.) et al., Domain decomposition methods in science and engineering XXIII. Proceedings of the 23rd international conference, Jeju Island, Korea, July 6–10, 2015. Cham: Springer (ISBN 978-3-319-52388-0/hbk; 978-3-319-52389-7/ebook). Lecture Notes in Computational Science and Engineering 116, 163-170 (2017). MSC: 65M55 65M06 65Y05 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{L. Halpern}, Lect. Notes Comput. Sci. Eng. 116, 163--170 (2017; Zbl 1367.65118) Full Text: DOI
Bennequin, Daniel; Gander, Martin J.; Gouarin, Loic; Halpern, Laurence Optimized Schwarz waveform relaxation for advection reaction diffusion equations in two dimensions. (English) Zbl 1356.65225 Numer. Math. 134, No. 3, 513-567 (2016). Reviewer: Marius Ghergu (Dublin) MSC: 65M55 65M15 35L20 65Y05 PDFBibTeX XMLCite \textit{D. Bennequin} et al., Numer. Math. 134, No. 3, 513--567 (2016; Zbl 1356.65225) Full Text: DOI arXiv
Gander, Martin J.; Halpern, Laurence; Martin, Véronique A new algorithm based on factorization for heterogeneous domain decomposition. (English) Zbl 1350.65108 Numer. Algorithms 73, No. 1, 167-195 (2016). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65M55 65M15 35K57 PDFBibTeX XMLCite \textit{M. J. Gander} et al., Numer. Algorithms 73, No. 1, 167--195 (2016; Zbl 1350.65108) Full Text: DOI arXiv
Borrel, Michel; Halpern, Laurence; Ryan, Juliette Euler-Navier-Stokes coupling for aeroacoustics problems. (English) Zbl 1346.76124 Kuzmin, Alexander (ed.), Computational fluid dynamics 2010. Proceedings of the 6th international conference on computational fluid dynamics, ICCFD6, St. Petersburg, Russia, July 12–16, 2010. Berlin: Springer (ISBN 978-3-642-17883-2/hbk; 978-3-642-17884-9/ebook). 427-433 (2011). MSC: 76M25 76Q05 PDFBibTeX XMLCite \textit{M. Borrel} et al., in: Computational fluid dynamics 2010. Proceedings of the 6th international conference on computational fluid dynamics, ICCFD6, St. Petersburg, Russia, July 12--16, 2010. Berlin: Springer. 427--433 (2011; Zbl 1346.76124) Full Text: DOI
Caetano, Filipa; Gander, Martin J.; Halpern, Laurence; Szeftel, Jérémie Schwarz waveform relaxation algorithms with nonlinear transmission conditions for reaction-diffusion equations. (English) Zbl 1217.65185 Huang, Yunqing (ed.) et al., Domain decomposition methods in science and engineering XIX. Selected papers based on the presentations at the 19th international conference on domain decoposition (DD19), Zhanjiajie, China, August 17–22, 2009. Berlin: Springer (ISBN 978-3-642-11303-1/hbk; 978-3-642-11304-8/ebook). Lecture Notes in Computational Science and Engineering 78, 245-252 (2011). MSC: 65M55 35K57 65Y05 PDFBibTeX XMLCite \textit{F. Caetano} et al., Lect. Notes Comput. Sci. Eng. 78, 245--252 (2011; Zbl 1217.65185) Full Text: DOI
Halpern, Laurence; Japhet, Caroline; Szeftel, Jérémie Space-time nonconforming optimized Schwarz waveform relaxation for heterogeneous problems and general geometries. (English) Zbl 1217.65188 Huang, Yunqing (ed.) et al., Domain decomposition methods in science and engineering XIX. Selected papers based on the presentations at the 19th international conference on domain decoposition (DD19), Zhanjiajie, China, August 17–22, 2009. Berlin: Springer (ISBN 978-3-642-11303-1/hbk; 978-3-642-11304-8/ebook). Lecture Notes in Computational Science and Engineering 78, 75-86 (2011). MSC: 65M55 65M12 35K20 76S05 PDFBibTeX XMLCite \textit{L. Halpern} et al., Lect. Notes Comput. Sci. Eng. 78, 75--86 (2011; Zbl 1217.65188) Full Text: DOI
Bennequin, D.; Gander, M. J.; Halpern, L. A homographic best approximation problem with application to optimized Schwarz waveform relaxation. (English) Zbl 1198.65179 Math. Comput. 78, No. 265, 185-223 (2009). MSC: 65M12 65M55 PDFBibTeX XMLCite \textit{D. Bennequin} et al., Math. Comput. 78, No. 265, 185--223 (2009; Zbl 1198.65179) Full Text: DOI