Gharibi, Zeinab; Dehghan, Mehdi Analysis of weak Galerkin mixed finite element method based on the velocity-pseudostress formulation for Navier-Stokes equation on polygonal meshes. (English) Zbl 07915986 J. Sci. Comput. 101, No. 1, Paper No. 12, 37 p. (2024). MSC: 65M70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Prusak, Ivan; Torlo, Davide; Nonino, Monica; Rozza, Gianluigi An optimisation-based domain-decomposition reduced order model for parameter-dependent non-stationary fluid dynamics problems. (English) Zbl 07859671 Comput. Math. Appl. 166, 253-268 (2024). MSC: 76-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Prusak, Ivan; Nonino, Monica; Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi An optimisation-based domain-decomposition reduced order model for the incompressible Navier-Stokes equations. (English) Zbl 1538.76110 Comput. Math. Appl. 151, 172-189 (2023). MSC: 76M10 65N30 76D05 74F10 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheung, James; Perego, M.; Bochev, P.; Gunzburger, M. A coupling approach for linear elasticity problems with spatially non-coincident discretized interfaces. (English) Zbl 1531.65235 J. Comput. Appl. Math. 425, Article ID 115027, 21 p. (2023). MSC: 65N30 65N12 65N15 65N50 41A58 74B10 74S05 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Junxiang; Su, Jin A domain decomposition method for the Navier-Stokes equations with stochastic input. (English) Zbl 1476.60110 Comput. Appl. Math. 40, No. 5, Paper No. 160, 13 p. (2021). MSC: 60H35 60H15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
D’Elia, Marta; Bochev, Pavel Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method. (English) Zbl 1468.74083 Results Appl. Math. 9, Article ID 100129, 21 p. (2021). MSC: 74S99 74S05 74P99 74A99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Herrero, H.; Pla, F.; Ruiz-Ferrández, M. A Schwarz method for a Rayleigh-Bénard problem. (English) Zbl 1410.76064 J. Sci. Comput. 78, No. 1, 376-392 (2019). MSC: 76E06 76M25 35Q35 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Bochev, Pavel; Kuberry, Paul; Peterson, Kara A virtual control coupling approach for problems with non-coincident discrete interfaces. (English) Zbl 1479.49075 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 11th international conference, LSSC 2017, Sozopol, Bulgaria, June 5–9, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10665, 147-155 (2018). MSC: 49M41 65N30 65N50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kuberry, Paul; Bochev, Pavel; Peterson, Kara An optimization-based approach for elliptic problems with interfaces. (English) Zbl 06799810 SIAM J. Sci. Comput. 39, No. 5, S757-S781 (2017). MSC: 65D99 49J20 90C20 35J15 × Cite Format Result Cite Review PDF Full Text: DOI
Bochev, Pavel; Ridzal, Denis Optimization-based additive decomposition of weakly coercive problems with applications. (English) Zbl 1443.49012 Comput. Math. Appl. 71, No. 11, 2140-2154 (2016). MSC: 49J27 49J20 49M25 65J10 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Blayo, Eric; Cherel, David; Rousseau, Antoine Towards optimized Schwarz methods for the Navier-Stokes equations. (English) Zbl 1381.76254 J. Sci. Comput. 66, No. 1, 275-295 (2016). MSC: 76M25 65M55 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Kuberry, Paul; Lee, Hyesuk Convergence of a fluid-structure interaction problem decoupled by a Neumann control over a single time step. (English) Zbl 1391.76342 J. Math. Anal. Appl. 437, No. 1, 645-667 (2016). MSC: 76M10 74S05 65M60 49K20 65M15 74F10 76Z05 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Cho, H.; Yang, X.; Venturi, D.; Karniadakis, G. E. Algorithms for propagating uncertainty across heterogeneous domains. (English) Zbl 1347.60093 SIAM J. Sci. Comput. 37, No. 6, A3030-A3054 (2015). MSC: 60H35 60H15 65C30 60G60 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kuberry, P.; Lee, H. Analysis of a fluid-structure interaction problem recast in an optimal control setting. (English) Zbl 1327.49013 SIAM J. Numer. Anal. 53, No. 3, 1464-1487 (2015). MSC: 49J20 49K20 49M25 65M60 65M12 74F10 74S05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Olson, Derek; Bochev, Pavel; Luskin, Mitchell; Shapeev, Alexander V. Development of an optimization-based atomistic-to-continuum coupling method. (English) Zbl 1446.74075 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 9th international conference, LSSC 2013, Sozopol, Bulgaria, June 3–7, 2013. Revised selected papers. Berlin: Springer. Lect. Notes Comput. Sci. 8353, 33-44 (2014). MSC: 74A25 74E15 74S05 82B21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Hyesuk; Rife, Kelsey Least squares approach for the time-dependent nonlinear Stokes-Darcy flow. (English) Zbl 1366.76071 Comput. Math. Appl. 67, No. 10, 1806-1815 (2014). MSC: 76M25 76S05 49K20 65M55 × Cite Format Result Cite Review PDF Full Text: DOI
Ervin, V. J.; Jenkins, E. W.; Lee, Hyesuk Approximation of the Stokes-Darcy system by optimization. (English) Zbl 1297.76054 J. Sci. Comput. 59, No. 3, 775-794 (2014). MSC: 76D07 76M10 65N55 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Kuberry, Paul; Lee, Hyesuk A decoupling algorithm for fluid-structure interaction problems based on optimization. (English) Zbl 1286.74031 Comput. Methods Appl. Mech. Eng. 267, 594-605 (2013). MSC: 74F10 74S05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Calabrò, Francesco Numerical treatment of elliptic problems nonlinearly coupled through the interface. (English) Zbl 1282.65165 J. Sci. Comput. 57, No. 2, 300-312 (2013). MSC: 65N55 × Cite Format Result Cite Review PDF Full Text: DOI
Koko, Jonas A survey on dual decomposition methods. (English) Zbl 1269.49055 S\(\vec{\text{e}}\)MA J. 62, No. 1, 27-59 (2013). MSC: 49M27 49N15 65N55 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Kong, Fande; Ma, Yichen; Lu, Junxiang An optimization-based domain decomposition method for numerical simulation of the incompressible Navier-Stokes flows. (English) Zbl 1428.76048 Numer. Methods Partial Differ. Equations 27, No. 2, 255-276 (2011). MSC: 76D05 76M99 65M55 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Jenkins, Eleanor; Lee, Hyesuk A domain decomposition method for the Oseen-viscoelastic flow equations. (English) Zbl 1128.76036 Appl. Math. Comput. 195, No. 1, 127-141 (2008). MSC: 76M10 76A10 76D07 65N55 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Koko, Jonas Uzawa conjugate gradient domain decomposition methods for coupled Stokes flows. (English) Zbl 1203.76116 J. Sci. Comput. 26, No. 2, 195-216 (2006). MSC: 76M25 65N55 65F10 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, Jeehyun An optimization-based domain decomposition method for parabolic equations. (English) Zbl 1095.65092 Appl. Math. Comput. 175, No. 2, 1644-1656 (2006). Reviewer: Natesan Srinivasan (Assam) MSC: 65M55 65M60 65M70 65M12 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Xuejun; Chow, C. O.; Lui, S. H. On nonoverlapping domain decomposition methods for the incompressible Navier-Stokes equations. (English) Zbl 1085.76041 ESAIM, Math. Model. Numer. Anal. 39, No. 6, 1251-1269 (2005). MSC: 76M10 76D05 65N30 65N55 65N12 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Koko, Jonas An optimization-based domain decomposition method for a bonded structure. (English) Zbl 1205.74016 Math. Models Methods Appl. Sci. 12, No. 6, 857-870 (2002). MSC: 74B05 65K10 65N55 74G99 74S30 × Cite Format Result Cite Review PDF Full Text: DOI
Gunzburger, M. D.; Lee, Jeehyun A domain decomposition method for optimization problems for partial differential equations. (English) Zbl 0971.49020 Comput. Math. Appl. 40, No. 2-3, 177-192 (2000). MSC: 49M27 65N55 49M30 × Cite Format Result Cite Review PDF Full Text: DOI