Liu, Shu; Liu, Siting; Osher, Stanley; Li, Wuchen A first-order computational algorithm for reaction-diffusion type equations via primal-dual hybrid gradient method. (English) Zbl 07811339 J. Comput. Phys. 500, Article ID 112753, 19 p. (2024). MSC: 65Mxx 35Kxx 65-XX PDFBibTeX XMLCite \textit{S. Liu} et al., J. Comput. Phys. 500, Article ID 112753, 19 p. (2024; Zbl 07811339) Full Text: DOI arXiv
Wen, Xin; Song, Haiming; Zhang, Rui; Li, Yutian Primal-dual active-set method for the valuation of American exchange options. (English) Zbl 07779869 East Asian J. Appl. Math. 13, No. 4, 858-885 (2023). MSC: 65M60 65M06 65N30 65M12 35A35 35B45 65K10 91G20 91G60 35Q91 PDFBibTeX XMLCite \textit{X. Wen} et al., East Asian J. Appl. Math. 13, No. 4, 858--885 (2023; Zbl 07779869) Full Text: DOI
Li, Dan; Wang, Chunmei A simplified primal-dual weak Galerkin finite element method for Fokker-Planck-type equations. (English) Zbl 1528.65113 Numer. Methods Partial Differ. Equations 39, No. 5, 3942-3963 (2023). MSC: 65N30 35Q82 PDFBibTeX XMLCite \textit{D. Li} and \textit{C. Wang}, Numer. Methods Partial Differ. Equations 39, No. 5, 3942--3963 (2023; Zbl 1528.65113) Full Text: DOI arXiv
Biccari, Umberto; Song, Yongcun; Yuan, Xiaoming; Zuazua, Enrique A two-stage numerical approach for the sparse initial source identification of a diffusion-advection equation. (English) Zbl 07726079 Inverse Probl. 39, No. 9, Article ID 095003, 30 p. (2023). MSC: 35R30 35K57 35R25 49K20 65M30 65M32 PDFBibTeX XMLCite \textit{U. Biccari} et al., Inverse Probl. 39, No. 9, Article ID 095003, 30 p. (2023; Zbl 07726079) Full Text: DOI arXiv
Li, Dan; Wang, Chunmei; Wang, Junping An \(L^p\)-primal-dual finite element method for first-order transport problems. (English) Zbl 1517.65115 J. Comput. Appl. Math. 434, Article ID 115345, 23 p. (2023). MSC: 65N30 65N15 65N12 35L02 35F15 35B45 PDFBibTeX XMLCite \textit{D. Li} et al., J. Comput. Appl. Math. 434, Article ID 115345, 23 p. (2023; Zbl 1517.65115) Full Text: DOI arXiv
Barboteu, Mikaël; Bonaldi, Francesco; Danan, David; El-Hadri, Soad An improved normal compliance method for dynamic hyperelastic problems with energy conservation property. (English) Zbl 1524.74365 Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107296, 25 p. (2023). MSC: 74M15 74M20 74M10 74B20 74H15 49M15 90C53 70F40 70-08 70E55 35Q70 PDFBibTeX XMLCite \textit{M. Barboteu} et al., Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107296, 25 p. (2023; Zbl 1524.74365) Full Text: DOI arXiv
Hadri, Aissam; Nachaoui, Mourad; Laghrib, Amine; Chakib, Abdelkrim; Afraites, Lekbir A primal-dual approach for the Robin inverse problem in a nonlinear elliptic equation: the case of the \(L^1 - L^2\) cost functional. (English) Zbl 1512.35660 J. Inverse Ill-Posed Probl. 31, No. 2, 243-266 (2023). MSC: 35R30 35J25 35J62 35R25 PDFBibTeX XMLCite \textit{A. Hadri} et al., J. Inverse Ill-Posed Probl. 31, No. 2, 243--266 (2023; Zbl 1512.35660) Full Text: DOI
Li, Wuchen; Liu, Siting; Osher, Stanley Controlling conservation laws. I: entropy-entropy flux. (English) Zbl 07662518 J. Comput. Phys. 480, Article ID 112019, 21 p. (2023). MSC: 35Kxx 35Qxx 91Axx PDFBibTeX XMLCite \textit{W. Li} et al., J. Comput. Phys. 480, Article ID 112019, 21 p. (2023; Zbl 07662518) Full Text: DOI arXiv
Chow, Yat Tin; Wu Fung, Samy; Liu, Siting; Nurbekyan, Levon; Osher, Stanley A numerical algorithm for inverse problem from partial boundary measurement arising from mean field game problem. (English) Zbl 1504.35641 Inverse Probl. 39, No. 1, Article ID 014001, 21 p. (2023). MSC: 35R30 65M32 PDFBibTeX XMLCite \textit{Y. T. Chow} et al., Inverse Probl. 39, No. 1, Article ID 014001, 21 p. (2023; Zbl 1504.35641) Full Text: DOI arXiv
Cao, Waixiang; Wang, Chunmei; Wang, Junping An \(L^p\)-primal-dual weak Galerkin method for div-curl systems. (English) Zbl 1499.65646 J. Comput. Appl. Math. 422, Article ID 114881, 17 p. (2023). MSC: 65N30 35Q60 65N12 35F45 35Q61 PDFBibTeX XMLCite \textit{W. Cao} et al., J. Comput. Appl. Math. 422, Article ID 114881, 17 p. (2023; Zbl 1499.65646) Full Text: DOI arXiv
Cao, Waixiang; Wang, Chunmei; Wang, Junping An \(L^p\)-primal-dual weak Galerkin method for convection-diffusion equations. (English) Zbl 1496.65207 J. Comput. Appl. Math. 419, Article ID 114698, 18 p. (2023). MSC: 65N30 65N15 65N12 74N20 35B45 35J50 35J35 PDFBibTeX XMLCite \textit{W. Cao} et al., J. Comput. Appl. Math. 419, Article ID 114698, 18 p. (2023; Zbl 1496.65207) Full Text: DOI arXiv
Pietschmann, Jan-Frederik; Schlottbom, Matthias Data-driven gradient flows. (English) Zbl 1502.49031 ETNA, Electron. Trans. Numer. Anal. 57, 193-215 (2022). MSC: 49N45 35R30 49Q22 PDFBibTeX XMLCite \textit{J.-F. Pietschmann} and \textit{M. Schlottbom}, ETNA, Electron. Trans. Numer. Anal. 57, 193--215 (2022; Zbl 1502.49031) Full Text: DOI arXiv
Abide, Stéphane; Barboteu, Mikaël; Cherkaoui, Soufiane; Dumont, Serge Unified primal-dual active set method for dynamic frictional contact problems. (English) Zbl 07611945 Fixed Point Theory Algorithms Sci. Eng. 2022, Paper No. 19, 22 p. (2022). MSC: 70F40 70-08 70E55 35Q70 PDFBibTeX XMLCite \textit{S. Abide} et al., Fixed Point Theory Algorithms Sci. Eng. 2022, Paper No. 19, 22 p. (2022; Zbl 07611945) Full Text: DOI
Cao, Waixiang; Wang, Chunmei; Wang, Junping A new primal-dual weak Galerkin method for elliptic interface problems with low regularity assumptions. (English) Zbl 07599594 J. Comput. Phys. 470, Article ID 111538, 20 p. (2022). MSC: 65Nxx 35Jxx 35Rxx PDFBibTeX XMLCite \textit{W. Cao} et al., J. Comput. Phys. 470, Article ID 111538, 20 p. (2022; Zbl 07599594) Full Text: DOI arXiv
Aspri, Andrea; Beretta, Elena; Cavaterra, Cecilia; Rocca, Elisabetta; Verani, Marco Identification of cavities and inclusions in linear elasticity with a phase-field approach. (English) Zbl 1497.35509 Appl. Math. Optim. 86, No. 3, Paper No. 32, 41 p. (2022). MSC: 35R30 35J57 65N21 74B05 74G75 PDFBibTeX XMLCite \textit{A. Aspri} et al., Appl. Math. Optim. 86, No. 3, Paper No. 32, 41 p. (2022; Zbl 1497.35509) Full Text: DOI arXiv
He, Yuchen; Suh, Namjoon; Huo, Xiaoming; Kang, Sung Ha; Mei, Yajun Asymptotic theory of \(\ell_1\)-regularized PDE identification from a single noisy trajectory. (English) Zbl 1493.62440 SIAM/ASA J. Uncertain. Quantif. 10, 1012-1036 (2022). MSC: 62J07 93B30 35G35 PDFBibTeX XMLCite \textit{Y. He} et al., SIAM/ASA J. Uncertain. Quantif. 10, 1012--1036 (2022; Zbl 1493.62440) Full Text: DOI arXiv
Aspri, Andrea A phase-field approach for detecting cavities via a Kohn-Vogelius type functional. (English) Zbl 1496.35444 Inverse Probl. 38, No. 9, Article ID 094001, 41 p. (2022). MSC: 35R30 35F15 74G75 PDFBibTeX XMLCite \textit{A. Aspri}, Inverse Probl. 38, No. 9, Article ID 094001, 41 p. (2022; Zbl 1496.35444) Full Text: DOI arXiv
Oulmelk, A.; Afraites, L.; Hadri, A.; Nachaoui, M. An optimal control approach for determining the source term in fractional diffusion equation by different cost functionals. (English) Zbl 1496.35454 Appl. Numer. Math. 181, 647-664 (2022). MSC: 35R30 35K20 35R11 65M32 PDFBibTeX XMLCite \textit{A. Oulmelk} et al., Appl. Numer. Math. 181, 647--664 (2022; Zbl 1496.35454) Full Text: DOI
Piersanti, Paolo; White, Kristen; Dragnea, Bogdan; Temam, Roger Modelling virus contact mechanics under atomic force imaging conditions. (English) Zbl 1495.74046 Appl. Anal. 101, No. 11, 3947-3957 (2022). MSC: 74L15 74M15 74A25 35Q74 49J40 92C10 PDFBibTeX XMLCite \textit{P. Piersanti} et al., Appl. Anal. 101, No. 11, 3947--3957 (2022; Zbl 1495.74046) Full Text: DOI arXiv
Ochal, Anna; Jureczka, Michal; Bartman, Piotr A survey of numerical methods for hemivariational inequalities with applications to contact mechanics. (English) Zbl 1495.74048 Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106563, 14 p. (2022). MSC: 74M15 74M10 74S05 74P10 74-02 49J40 35Q74 PDFBibTeX XMLCite \textit{A. Ochal} et al., Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106563, 14 p. (2022; Zbl 1495.74048) Full Text: DOI arXiv
Li, Wuchen; Lee, Wonjun; Osher, Stanley Computational mean-field information dynamics associated with reaction-diffusion equations. (English) Zbl 07561086 J. Comput. Phys. 466, Article ID 111409, 30 p. (2022). MSC: 35Kxx 49Qxx 82Cxx PDFBibTeX XMLCite \textit{W. Li} et al., J. Comput. Phys. 466, Article ID 111409, 30 p. (2022; Zbl 07561086) Full Text: DOI arXiv
Ding, Lisang; Li, Wuchen; Osher, Stanley; Yin, Wotao A mean field game inverse problem. (English) Zbl 1493.91016 J. Sci. Comput. 92, No. 1, Paper No. 7, 35 p. (2022). MSC: 91A16 35Q91 49J20 35R60 PDFBibTeX XMLCite \textit{L. Ding} et al., J. Sci. Comput. 92, No. 1, Paper No. 7, 35 p. (2022; Zbl 1493.91016) Full Text: DOI arXiv
Cao, Shuhao; Wang, Chunmei; Wang, Junping A new numerical method for div-curl systems with low regularity assumptions. (English) Zbl 1524.65770 Comput. Math. Appl. 114, 47-59 (2022). MSC: 65N30 65N15 65N12 78M10 35J25 35B65 PDFBibTeX XMLCite \textit{S. Cao} et al., Comput. Math. Appl. 114, 47--59 (2022; Zbl 1524.65770) Full Text: DOI arXiv
Li, Wuchen; Liu, Siting; Osher, Stanley Controlling conservation laws. II: Compressible Navier-Stokes equations. (English) Zbl 07536764 J. Comput. Phys. 463, Article ID 111264, 21 p. (2022). MSC: 35Kxx 49Jxx 91Axx PDFBibTeX XMLCite \textit{W. Li} et al., J. Comput. Phys. 463, Article ID 111264, 21 p. (2022; Zbl 07536764) Full Text: DOI arXiv
Carrillo, José A.; Craig, Katy; Wang, Li; Wei, Chaozhen Primal dual methods for Wasserstein gradient flows. (English) Zbl 07533993 Found. Comput. Math. 22, No. 2, 389-443 (2022). MSC: 65-XX 35A15 47J25 47J35 49M29 65K10 82B21 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Found. Comput. Math. 22, No. 2, 389--443 (2022; Zbl 07533993) Full Text: DOI arXiv
Li, Dan; Wang, Chunmei; Wang, Junping A primal-dual finite element method for transport equations in non-divergence form. (English) Zbl 1486.65256 J. Comput. Appl. Math. 412, Article ID 114313, 13 p. (2022). MSC: 65N30 65N15 65N12 35L02 35F15 PDFBibTeX XMLCite \textit{D. Li} et al., J. Comput. Appl. Math. 412, Article ID 114313, 13 p. (2022; Zbl 1486.65256) Full Text: DOI
Wang, Chunmei Low regularity primal-dual weak Galerkin finite element methods for ill-posed elliptic Cauchy problems. (English) Zbl 1499.65684 Int. J. Numer. Anal. Model. 19, No. 1, 33-51 (2022). MSC: 65N30 65N12 35J15 35D35 65N20 65N15 35R25 PDFBibTeX XMLCite \textit{C. Wang}, Int. J. Numer. Anal. Model. 19, No. 1, 33--51 (2022; Zbl 1499.65684) Full Text: arXiv Link
Ennaji, Hamza; Igbida, Noureddine; Nguyen, Van Thanh Continuous Lambertian shape from shading: a primal-dual algorithm. (English) Zbl 1492.49031 ESAIM, Math. Model. Numer. Anal. 56, No. 2, 485-504 (2022). Reviewer: Alpár R. Mészáros (Durham) MSC: 49L25 62H35 65K10 49Q22 78A05 35F21 35D40 PDFBibTeX XMLCite \textit{H. Ennaji} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 2, 485--504 (2022; Zbl 1492.49031) Full Text: DOI
Wang, Chunmei A modified primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form. (English) Zbl 1499.65683 Int. J. Numer. Anal. Model. 18, No. 4, 500-523 (2021). MSC: 65N30 65N12 35J15 35D35 65N15 PDFBibTeX XMLCite \textit{C. Wang}, Int. J. Numer. Anal. Model. 18, No. 4, 500--523 (2021; Zbl 1499.65683) Full Text: arXiv Link
Chambolle, Antonin; Pock, Thomas Learning consistent discretizations of the total variation. (English) Zbl 1477.49047 SIAM J. Imaging Sci. 14, No. 2, 778-813 (2021). MSC: 49M25 35J87 35R35 94A08 65D18 65N06 65N30 65N50 PDFBibTeX XMLCite \textit{A. Chambolle} and \textit{T. Pock}, SIAM J. Imaging Sci. 14, No. 2, 778--813 (2021; Zbl 1477.49047) Full Text: DOI
Abide, Stéphane; Barboteu, Mikaël; Cherkaoui, Soufiane; Dumont, Serge A semi-smooth Newton and primal-dual active set method for non-smooth contact dynamics. (English) Zbl 1507.70024 Comput. Methods Appl. Mech. Eng. 387, Article ID 114153, 23 p. (2021). MSC: 70F40 35Q70 70E55 PDFBibTeX XMLCite \textit{S. Abide} et al., Comput. Methods Appl. Mech. Eng. 387, Article ID 114153, 23 p. (2021; Zbl 1507.70024) Full Text: DOI
Wang, Chunmei; Zikatanov, Ludmil Low regularity primal-dual weak Galerkin finite element methods for convection-diffusion equations. (English) Zbl 1467.65114 J. Comput. Appl. Math. 394, Article ID 113543, 18 p. (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N15 65N12 74N20 35B45 35J50 35J35 PDFBibTeX XMLCite \textit{C. Wang} and \textit{L. Zikatanov}, J. Comput. Appl. Math. 394, Article ID 113543, 18 p. (2021; Zbl 1467.65114) Full Text: DOI arXiv
Cao, Waixiang; Wang, Chunmei New primal-dual weak Galerkin finite element methods for convection-diffusion problems. (English) Zbl 1460.65144 Appl. Numer. Math. 162, 171-191 (2021). MSC: 65N30 65N15 35K20 76R50 PDFBibTeX XMLCite \textit{W. Cao} and \textit{C. Wang}, Appl. Numer. Math. 162, 171--191 (2021; Zbl 1460.65144) Full Text: DOI arXiv
Zosso, Dominique; Osting, Braxton A primal-dual optimization strategy for elliptic partial differential equations. (English) Zbl 1458.65070 Q. Appl. Math. 79, No. 1, 175-200 (2021). MSC: 65K10 65N06 35J20 PDFBibTeX XMLCite \textit{D. Zosso} and \textit{B. Osting}, Q. Appl. Math. 79, No. 1, 175--200 (2021; Zbl 1458.65070) Full Text: DOI
Gao, Yu; Song, Haiming; Wang, Xiaoshen; Zhang, Kai Primal-dual active set method for pricing American better-of option on two assets. (English) Zbl 1450.35258 Commun. Nonlinear Sci. Numer. Simul. 80, Article ID 104976, 15 p. (2020). MSC: 35Q91 91G20 91G60 35A35 65M06 65M60 65N30 65K10 65M12 35R35 PDFBibTeX XMLCite \textit{Y. Gao} et al., Commun. Nonlinear Sci. Numer. Simul. 80, Article ID 104976, 15 p. (2020; Zbl 1450.35258) Full Text: DOI
Wang, Chunmei; Wang, Junping A primal-dual weak Galerkin finite element method for Fokker-Planck type equations. (English) Zbl 1466.65206 SIAM J. Numer. Anal. 58, No. 5, 2632-2661 (2020). Reviewer: Andreas Mang (Houston) MSC: 65N30 65N15 65N12 74N20 35B45 35J50 35J35 35Q84 PDFBibTeX XMLCite \textit{C. Wang} and \textit{J. Wang}, SIAM J. Numer. Anal. 58, No. 5, 2632--2661 (2020; Zbl 1466.65206) Full Text: DOI arXiv
Wang, Chunmei; Wang, Junping A primal-dual finite element method for first-order transport problems. (English) Zbl 1437.65201 J. Comput. Phys. 417, Article ID 109571, 22 p. (2020). MSC: 65N30 35Q49 65N15 PDFBibTeX XMLCite \textit{C. Wang} and \textit{J. Wang}, J. Comput. Phys. 417, Article ID 109571, 22 p. (2020; Zbl 1437.65201) Full Text: DOI arXiv
Hakim, Abdelilah; Ben-Loghfyry, Anouar A total variable-order variation model for image denoising. (English) Zbl 1486.94014 AIMS Math. 4, No. 5, 1320-1335 (2019). MSC: 94A08 35R11 49J10 49M29 65M06 PDFBibTeX XMLCite \textit{A. Hakim} and \textit{A. Ben-Loghfyry}, AIMS Math. 4, No. 5, 1320--1335 (2019; Zbl 1486.94014) Full Text: DOI
Calder, Jeff; Yezzi, Anthony PDE acceleration: a convergence rate analysis and applications to obstacle problems. (English) Zbl 1427.65145 Res. Math. Sci. 6, No. 4, Paper No. 35, 30 p. (2019). MSC: 65M06 35Q93 65K10 49K20 65M12 35A15 35R15 65B99 PDFBibTeX XMLCite \textit{J. Calder} and \textit{A. Yezzi}, Res. Math. Sci. 6, No. 4, Paper No. 35, 30 p. (2019; Zbl 1427.65145) Full Text: DOI arXiv
Liu, Yujie; Wang, Junping; Zou, Qingsong A conservative flux optimization finite element method for convection-diffusion equations. (English) Zbl 1422.65398 SIAM J. Numer. Anal. 57, No. 3, 1238-1262 (2019). MSC: 65N30 65N15 65N12 35B45 35J50 76S05 76T99 76R99 65N08 35Q35 PDFBibTeX XMLCite \textit{Y. Liu} et al., SIAM J. Numer. Anal. 57, No. 3, 1238--1262 (2019; Zbl 1422.65398) Full Text: DOI arXiv
Chambolle, Antonin; Pock, Thomas Total roto-translational variation. (English) Zbl 1418.53004 Numer. Math. 142, No. 3, 611-666 (2019). MSC: 53A04 49Q20 26A45 35J35 53A40 65K10 PDFBibTeX XMLCite \textit{A. Chambolle} and \textit{T. Pock}, Numer. Math. 142, No. 3, 611--666 (2019; Zbl 1418.53004) Full Text: DOI arXiv
Engwirda, Darren Generalised primal-dual grids for unstructured co-volume schemes. (English) Zbl 1416.65325 J. Comput. Phys. 375, 155-176 (2018). MSC: 65M50 35L40 65M08 65M06 PDFBibTeX XMLCite \textit{D. Engwirda}, J. Comput. Phys. 375, 155--176 (2018; Zbl 1416.65325) Full Text: DOI arXiv
Mechelli, Luca; Volkwein, Stefan POD-based economic optimal control of heat-convection phenomena. (English) Zbl 1416.49026 Falcone, Maurizio (ed.) et al., Numerical methods for optimal control problems. Proceedings of the workshop, Rome, Italy, June 19–23, 2017. Cham: Springer. Springer INdAM Ser. 29, 63-87 (2018). MSC: 49M15 35K05 PDFBibTeX XMLCite \textit{L. Mechelli} and \textit{S. Volkwein}, Springer INdAM Ser. 29, 63--87 (2018; Zbl 1416.49026) Full Text: DOI Link
Burman, Erik; Larson, Mats G.; Oksanen, Lauri Primal-dual mixed finite element methods for the elliptic Cauchy problem. (English) Zbl 1408.65085 SIAM J. Numer. Anal. 56, No. 6, 3480-3509 (2018). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N15 35J15 65N21 PDFBibTeX XMLCite \textit{E. Burman} et al., SIAM J. Numer. Anal. 56, No. 6, 3480--3509 (2018; Zbl 1408.65085) Full Text: DOI arXiv
Kovtunenko, V. A.; Ohtsuka, K. Shape differentiability of Lagrangians and application to Stokes problem. (English) Zbl 1401.49011 SIAM J. Control Optim. 56, No. 5, 3668-3684 (2018). MSC: 49J40 49Q12 49J35 35Q30 PDFBibTeX XMLCite \textit{V. A. Kovtunenko} and \textit{K. Ohtsuka}, SIAM J. Control Optim. 56, No. 5, 3668--3684 (2018; Zbl 1401.49011) Full Text: DOI arXiv
Lai, Ming-Jun; Wang, Chunmei A bivariate spline method for second order elliptic equations in non-divergence form. (English) Zbl 1398.65304 J. Sci. Comput. 75, No. 2, 803-829 (2018). MSC: 65N30 65N12 35J15 35D35 PDFBibTeX XMLCite \textit{M.-J. Lai} and \textit{C. Wang}, J. Sci. Comput. 75, No. 2, 803--829 (2018; Zbl 1398.65304) Full Text: DOI arXiv
Song, Haiming; Wang, Xiaoshen; Zhang, Kai; Zhang, Qi Primal-dual active set method for American lookback put option pricing. (English) Zbl 1392.35315 East Asian J. Appl. Math. 7, No. 3, 603-614 (2017). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 35Q91 65K10 65M12 65M60 35A35 91B24 65M06 65N30 35R35 91G20 91G60 PDFBibTeX XMLCite \textit{H. Song} et al., East Asian J. Appl. Math. 7, No. 3, 603--614 (2017; Zbl 1392.35315) Full Text: DOI
Bürgel, Florian; Kazimierski, Kamil S.; Lechleiter, Armin A sparsity regularization and total variation based computational framework for the inverse medium problem in scattering. (English) Zbl 1375.78025 J. Comput. Phys. 339, 1-30 (2017). MSC: 78A46 35P25 65M32 65M70 PDFBibTeX XMLCite \textit{F. Bürgel} et al., J. Comput. Phys. 339, 1--30 (2017; Zbl 1375.78025) Full Text: DOI
Elvetun, Ole Løseth; Nielsen, Bjørn Fredrik Preconditioners for PDE-constrained optimization problems with box constraints: towards high resolution inverse ECG images. (English) Zbl 1375.49042 Int. J. Numer. Anal. Model. 14, No. 6, 935-962 (2017). MSC: 49M25 35Q93 65F22 92C55 49J20 PDFBibTeX XMLCite \textit{O. L. Elvetun} and \textit{B. F. Nielsen}, Int. J. Numer. Anal. Model. 14, No. 6, 935--962 (2017; Zbl 1375.49042) Full Text: Link
Zahm, Olivier; Billaud-Friess, Marie; Nouy, Anthony Projection-based model order reduction methods for the estimation of vector-valued variables of interest. (English) Zbl 1372.65314 SIAM J. Sci. Comput. 39, No. 4, A1647-A1674 (2017). MSC: 65N30 35J25 35B30 65N15 PDFBibTeX XMLCite \textit{O. Zahm} et al., SIAM J. Sci. Comput. 39, No. 4, A1647--A1674 (2017; Zbl 1372.65314) Full Text: DOI arXiv
Trask, Nathaniel; Perego, Mauro; Bochev, Pavel A high-order staggered meshless method for elliptic problems. (English) Zbl 1365.65264 SIAM J. Sci. Comput. 39, No. 2, A479-A502 (2017). MSC: 65N30 35J25 35R05 65N12 PDFBibTeX XMLCite \textit{N. Trask} et al., SIAM J. Sci. Comput. 39, No. 2, A479--A502 (2017; Zbl 1365.65264) Full Text: DOI arXiv
Kalise, Dante; Kröner, Axel; Kunisch, Karl Local minimization algorithms for dynamic programming equations. (English) Zbl 1339.65084 SIAM J. Sci. Comput. 38, No. 3, A1587-A1615 (2016). MSC: 65K10 49J20 49M15 49L20 35F21 PDFBibTeX XMLCite \textit{D. Kalise} et al., SIAM J. Sci. Comput. 38, No. 3, A1587--A1615 (2016; Zbl 1339.65084) Full Text: DOI arXiv
Sciacchitano, Federica; Dong, Yiqiu; Zeng, Tieyong Variational approach for restoring blurred images with Cauchy noise. (English) Zbl 1343.94014 SIAM J. Imaging Sci. 8, No. 3, 1894-1922 (2015). MSC: 94A08 35B45 49J40 65K10 PDFBibTeX XMLCite \textit{F. Sciacchitano} et al., SIAM J. Imaging Sci. 8, No. 3, 1894--1922 (2015; Zbl 1343.94014) Full Text: DOI Link
Studinger, Alina; Volkwein, Stefan Numerical analysis of POD a-posteriori error estimation for optimal control. (English) Zbl 1275.49050 Bredies, Kristian (ed.) et al., Control and optimization with PDE constraints. Based on the international workshop on control and optimization of PDEs, Mariatrost, Austria, October 10–14, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0630-5/hbk; 978-3-0348-0631-2/ebook). ISNM. International Series of Numerical Mathematics 164, 137-158 (2013). Reviewer: Igor Bock (Bratislava) MSC: 49M27 49M25 49K20 35K90 49N10 PDFBibTeX XMLCite \textit{A. Studinger} and \textit{S. Volkwein}, ISNM, Int. Ser. Numer. Math. 164, 137--158 (2013; Zbl 1275.49050) Full Text: DOI Link
Borsic, A.; Adler, A. A primal-dual interior-point framework for using the L1 or L2 norm on the data and regularization terms of inverse problems. (English) Zbl 1254.65073 Inverse Probl. 28, No. 9, Article ID 095011 (2012). MSC: 65K05 90C30 90C51 65N21 35R30 35J05 PDFBibTeX XMLCite \textit{A. Borsic} and \textit{A. Adler}, Inverse Probl. 28, No. 9, Article ID 095011 (2012; Zbl 1254.65073) Full Text: DOI
Ion, Stelian; Ion, Anca Veronica A finite volume method for solving generalized Navier-Stokes equations. (English) Zbl 1284.35316 Ann. Acad. Rom. Sci., Math. Appl. 3, No. 1, 145-163 (2011). MSC: 35Q30 65M08 76A99 76D05 76M12 PDFBibTeX XMLCite \textit{S. Ion} and \textit{A. V. Ion}, Ann. Acad. Rom. Sci., Math. Appl. 3, No. 1, 145--163 (2011; Zbl 1284.35316) Full Text: Link
Alduncin, Gonzalo Primal and dual evolution macro-hybrid mixed variational inclusions. (English) Zbl 1248.35110 Int. J. Math. Anal., Ruse 5, No. 33-36, 1631-1664 (2011). MSC: 35K86 35A15 35K55 35K90 47J20 65N55 PDFBibTeX XMLCite \textit{G. Alduncin}, Int. J. Math. Anal., Ruse 5, No. 33--36, 1631--1664 (2011; Zbl 1248.35110) Full Text: Link
Blank, Luise; Butz, Martin; Garcke, Harald Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method. (English) Zbl 1233.35132 ESAIM, Control Optim. Calc. Var. 17, No. 4, 931-954 (2011). MSC: 35K85 35K55 90C33 49N90 80A22 82C26 65M60 35K35 35A35 PDFBibTeX XMLCite \textit{L. Blank} et al., ESAIM, Control Optim. Calc. Var. 17, No. 4, 931--954 (2011; Zbl 1233.35132) Full Text: DOI EuDML
Rösch, Arnd; Wachsmuth, Daniel Semi-smooth Newton method for an optimal control problem with control and mixed control-state constraints. (English) Zbl 1223.49027 Optim. Methods Softw. 26, No. 2, 169-186 (2011). MSC: 49K20 49N60 49M05 35K20 PDFBibTeX XMLCite \textit{A. Rösch} and \textit{D. Wachsmuth}, Optim. Methods Softw. 26, No. 2, 169--186 (2011; Zbl 1223.49027) Full Text: DOI
Goldman, M. Continuous primal-dual methods for image processing. (English) Zbl 1220.94008 SIAM J. Imaging Sci. 4, No. 1, 366-385 (2011). MSC: 94A08 28A75 35L35 49M29 65K10 65M15 PDFBibTeX XMLCite \textit{M. Goldman}, SIAM J. Imaging Sci. 4, No. 1, 366--385 (2011; Zbl 1220.94008) Full Text: DOI arXiv
Alduncin, G. Analysis of evolution macro-hybrid mixed variational problems. (English) Zbl 1178.35373 Int. J. Math. Anal., Ruse 2, No. 13-16, 663-708 (2008). Reviewer: Nicolae Pop (Baia Mare) MSC: 35R20 65M60 74S05 PDFBibTeX XMLCite \textit{G. Alduncin}, Int. J. Math. Anal., Ruse 2, No. 13--16, 663--708 (2008; Zbl 1178.35373) Full Text: Link
Cimrák, I.; Melicher, V. Sensitivity analysis framework for micromagnetism with application to the optimal shape design of magnetic random access memories. (English) Zbl 1115.35146 Inverse Probl. 23, No. 2, 563-588 (2007). MSC: 35R30 35K55 49Q10 82D40 49Q12 PDFBibTeX XMLCite \textit{I. Cimrák} and \textit{V. Melicher}, Inverse Probl. 23, No. 2, 563--588 (2007; Zbl 1115.35146) Full Text: DOI
De Los Reyes, J. C. Primal–dual active set method for control constrained optimal control of the Stokes equations. (English) Zbl 1091.49026 Optim. Methods Softw. 21, No. 2, 267-293 (2006). MSC: 49M25 35Q30 49J20 65K10 76D07 76D55 49M29 PDFBibTeX XMLCite \textit{J. C. De Los Reyes}, Optim. Methods Softw. 21, No. 2, 267--293 (2006; Zbl 1091.49026) Full Text: DOI
Griesse, R.; Volkwein, S. A primal-dual active set strategy for optimal boundary control of a nonlinear reaction-diffusion system. (English) Zbl 1090.49024 SIAM J. Control Optimization 44, No. 2, 467-494 (2005). Reviewer: Gheorghe Aniculăesei (Iaşi) MSC: 49K20 65K99 35K57 PDFBibTeX XMLCite \textit{R. Griesse} and \textit{S. Volkwein}, SIAM J. Control Optim. 44, No. 2, 467--494 (2005; Zbl 1090.49024) Full Text: DOI
De los Reyes, J. C. A primal-dual active set method for bilaterally control constrained optimal control of the Navier-Stokes equations. (English) Zbl 1075.49001 Numer. Funct. Anal. Optimization 25, No. 7-8, 657-683 (2004). Reviewer: Takao Nambu (Kobe) MSC: 49J20 65J15 35Q30 65K10 PDFBibTeX XMLCite \textit{J. C. De los Reyes}, Numer. Funct. Anal. Optim. 25, No. 7--8, 657--683 (2004; Zbl 1075.49001) Full Text: DOI
Stadler, Georg Semismooth Newton and augmented Lagrangian methods for a simplified friction problem. (English) Zbl 1106.90078 SIAM J. Optim. 15, No. 1, 39-62 (2004). MSC: 90C55 35J85 49J52 74G65 74M10 90C30 PDFBibTeX XMLCite \textit{G. Stadler}, SIAM J. Optim. 15, No. 1, 39--62 (2004; Zbl 1106.90078) Full Text: DOI
Volkwein, S. Lagrange-SQP techniques for the control constrained optimal boundary control for the Burgers equation. (English) Zbl 1077.49024 Comput. Optim. Appl. 26, No. 3, 253-284 (2003). MSC: 49M15 35Q53 49M05 65K10 90C55 PDFBibTeX XMLCite \textit{S. Volkwein}, Comput. Optim. Appl. 26, No. 3, 253--284 (2003; Zbl 1077.49024) Full Text: DOI
Volkwein, Stefan Second-order conditions for boundary control problems of the Burgers equation. (English) Zbl 1001.93033 Control Cybern. 30, No. 3, 249-278 (2001). Reviewer: Toshihiri Kobayashi (Tobata) MSC: 93C20 35Q53 49K20 PDFBibTeX XMLCite \textit{S. Volkwein}, Control Cybern. 30, No. 3, 249--278 (2001; Zbl 1001.93033)
Luce, Robert; Perez, Sylvie Homogenization of the heterogeneous coefficients in an elliptic equation. (English) Zbl 0993.65133 Cruz Lopez de Silanes, Maria (ed.) et al., Actes des 6èmes journées Zaragoza-Pau de mathématiques appliquées et de statistiques. Pau: Publications de Université de Pau et Pays de l’Adour, PUP. 401-408 (2001). MSC: 65N30 35B27 35J25 PDFBibTeX XMLCite \textit{R. Luce} and \textit{S. Perez}, in: Actes des 6èmes journées Zaragoza-Pau de mathématiques appliquées et de statistiques. Pau: Publications de Université de Pau et Pays de l'Adour, PUP. 401--408 (2001; Zbl 0993.65133)
Tröltzsch, Fredi; Volkwein, Stefan The SQP method for control constrained optimal control of the Burgers equation. (English) Zbl 1001.49035 ESAIM, Control Optim. Calc. Var. 6, 649-674 (2001). MSC: 49M30 49J20 49K20 35Q53 76N25 65K05 PDFBibTeX XMLCite \textit{F. Tröltzsch} and \textit{S. Volkwein}, ESAIM, Control Optim. Calc. Var. 6, 649--674 (2001; Zbl 1001.49035) Full Text: DOI Numdam EuDML
Luce, R.; Perez, S. A finite volume scheme for an elliptic equation with heterogeneous coefficients. Application to a homogenization problem. (English) Zbl 0986.65108 Appl. Numer. Math. 38, No. 4, 427-444 (2001). Reviewer: Karel Najzar (Praha) MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{R. Luce} and \textit{S. Perez}, Appl. Numer. Math. 38, No. 4, 427--444 (2001; Zbl 0986.65108) Full Text: DOI
Thomas, J.-M.; Trujillo, D. Mixed finite volume methods. (English) Zbl 0948.65125 Int. J. Numer. Methods Eng. 46, No. 9, 1351-1366 (1999). Reviewer: Thomas Sonar (Braunschweig) MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{J. M. Thomas} and \textit{D. Trujillo}, Int. J. Numer. Methods Eng. 46, No. 9, 1351--1366 (1999; Zbl 0948.65125) Full Text: DOI
Thomas, Jean-Marie; Trujillo, David Finite volume methods for elliptic problems: Convergence on unstructured meshes. (English) Zbl 0898.65070 Conca, Carlos (ed.) et al., Numerical methods in mechanics. 4th French-Latinamerican congress on Applied mathematics, University of Concepción, Concepción, Chile, December 11–15, 1995. London: Longman. Pitman Res. Notes Math. Ser. 371, 163-174 (1997). MSC: 65N30 65N12 65N50 35J25 PDFBibTeX XMLCite \textit{J.-M. Thomas} and \textit{D. Trujillo}, Pitman Res. Notes Math. Ser. 371, 163--174 (1997; Zbl 0898.65070)
Greenstadt, John Cell discretization of nonselfadjoint linear elliptic partial differential equations. (English) Zbl 0755.65105 SIAM J. Sci. Stat. Comput. 12, No. 5, 1074-1108 (1991). Reviewer: N.Herrmann (Hannover) MSC: 65N30 65N35 35J25 PDFBibTeX XMLCite \textit{J. Greenstadt}, SIAM J. Sci. Stat. Comput. 12, No. 5, 1074--1108 (1991; Zbl 0755.65105) Full Text: DOI
Valid, Roger Formulation symétrique primale-duale et masse ajoutée en interaction fluide-structure non linéaire. (Symmetric primal-dual formulation and added mass for nonlinear fluid-structure interaction). (French) Zbl 0645.76023 C. R. Acad. Sci., Paris, Sér. II 307, No. 8, 879-882 (1988). MSC: 76B99 35Q99 PDFBibTeX XMLCite \textit{R. Valid}, C. R. Acad. Sci., Paris, Sér. II 307, No. 8, 879--882 (1988; Zbl 0645.76023)