Landim, Isamara; Murad, Marcio A.; Pereira, Patricia; Abreu, Eduardo A new computational model for karst conduit flow in carbonate reservoirs including dissolution-collapse breccias. (English) Zbl 1528.74031 Comput. Geosci. 27, No. 5, 879-912 (2023). MSC: 74F10 74L10 86-08 86A05 PDFBibTeX XMLCite \textit{I. Landim} et al., Comput. Geosci. 27, No. 5, 879--912 (2023; Zbl 1528.74031) Full Text: DOI
Abreu, E.; Ferraz, P.; Espírito Santo, A. M.; Pereira, F.; Santos, L. G. C.; Sousa, F. S. Recursive formulation and parallel implementation of multiscale mixed methods. (English) Zbl 07625379 J. Comput. Phys. 473, Article ID 111681, 21 p. (2023). MSC: 65Nxx 76Mxx 76Sxx PDFBibTeX XMLCite \textit{E. Abreu} et al., J. Comput. Phys. 473, Article ID 111681, 21 p. (2023; Zbl 07625379) Full Text: DOI arXiv
Zhao, Lina A Robin-type domain decomposition method for a novel mixed-type DG method for the coupled Stokes-Darcy problem. (English) Zbl 1523.65097 SIAM J. Sci. Comput. 44, No. 5, B1221-B1256 (2022). MSC: 65N30 65N55 65N12 76S05 76D07 35Q35 PDFBibTeX XMLCite \textit{L. Zhao}, SIAM J. Sci. Comput. 44, No. 5, B1221--B1256 (2022; Zbl 1523.65097) Full Text: DOI arXiv
Spiridonov, Denis; Vasilyeva, Maria; Wang, Min; Chung, Eric T. Mixed generalized multiscale finite element method for flow problem in thin domains. (English) Zbl 1502.65216 J. Comput. Appl. Math. 416, Article ID 114577, 17 p. (2022). MSC: 65N30 65N35 65N12 65N15 76A20 76S05 76M10 PDFBibTeX XMLCite \textit{D. Spiridonov} et al., J. Comput. Appl. Math. 416, Article ID 114577, 17 p. (2022; Zbl 1502.65216) Full Text: DOI arXiv
Rocha, Franciane F.; Mankad, Het; Sousa, Fabricio S.; Pereira, Felipe The multiscale perturbation method for two-phase reservoir flow problems. (English) Zbl 1510.35245 Appl. Math. Comput. 421, Article ID 126908, 20 p. (2022). MSC: 35Q35 76S05 76T06 76M10 PDFBibTeX XMLCite \textit{F. F. Rocha} et al., Appl. Math. Comput. 421, Article ID 126908, 20 p. (2022; Zbl 1510.35245) Full Text: DOI arXiv
Akbari, Hani; Pereira, Felipe An algebraic multiscale solver with local Robin boundary value problems for flows in high-contrast media. (English) Zbl 1457.76103 J. Eng. Math. 123, 109-128 (2020). MSC: 76M12 76S05 65N22 65F10 PDFBibTeX XMLCite \textit{H. Akbari} and \textit{F. Pereira}, J. Eng. Math. 123, 109--128 (2020; Zbl 1457.76103) Full Text: DOI
Guiraldello, Rafael T.; Ausas, Roberto F.; Sousa, Fabricio S.; Pereira, Felipe; Buscaglia, Gustavo C. Velocity postprocessing schemes for multiscale mixed methods applied to contaminant transport in subsurface flows. (English) Zbl 1439.76069 Comput. Geosci. 24, No. 3, 1141-1161 (2020). MSC: 76M10 65N55 76S05 65M60 86A05 PDFBibTeX XMLCite \textit{R. T. Guiraldello} et al., Comput. Geosci. 24, No. 3, 1141--1161 (2020; Zbl 1439.76069) Full Text: DOI
Abreu, Eduardo; Ferraz, Paola; Vieira, Jardel Numerical resolution of a pseudo-parabolic Buckley-Leverett model with gravity and dynamic capillary pressure in heterogeneous porous media. (English) Zbl 1436.76019 J. Comput. Phys. 411, Article ID 109395, 23 p. (2020). MSC: 76M10 76S05 76T06 76D45 PDFBibTeX XMLCite \textit{E. Abreu} et al., J. Comput. Phys. 411, Article ID 109395, 23 p. (2020; Zbl 1436.76019) Full Text: DOI
Rocha, Franciane F.; Sousa, Fabricio S.; Ausas, Roberto F.; Buscaglia, Gustavo C.; Pereira, Felipe Multiscale mixed methods for two-phase flows in high-contrast porous media. (English) Zbl 1435.76082 J. Comput. Phys. 409, Article ID 109316, 20 p. (2020). MSC: 76T06 65M55 76S05 PDFBibTeX XMLCite \textit{F. F. Rocha} et al., J. Comput. Phys. 409, Article ID 109316, 20 p. (2020; Zbl 1435.76082) Full Text: DOI
Guiraldello, Rafael T.; Ausas, Roberto F.; Sousa, Fabricio S.; Pereira, Felipe; Buscaglia, Gustavo C. Interface spaces for the multiscale Robin coupled method in reservoir simulation. (English) Zbl 07316724 Math. Comput. Simul. 164, 103-119 (2019). MSC: 65Nxx PDFBibTeX XMLCite \textit{R. T. Guiraldello} et al., Math. Comput. Simul. 164, 103--119 (2019; Zbl 07316724) Full Text: DOI
Abreu, Eduardo; Bustos, Abel; Ferraz, Paola; Lambert, Wanderson A relaxation projection analytical-numerical approach in hysteretic two-phase flows in porous media. (English) Zbl 1418.76051 J. Sci. Comput. 79, No. 3, 1936-1980 (2019). MSC: 76S05 76M10 76M20 PDFBibTeX XMLCite \textit{E. Abreu} et al., J. Sci. Comput. 79, No. 3, 1936--1980 (2019; Zbl 1418.76051) Full Text: DOI
Akbari, Hani; Engsig-Karup, Allan P.; Ginting, Victor; Pereira, Felipe A multiscale direct solver for the approximation of flows in high contrast porous media. (English) Zbl 1444.76101 J. Comput. Appl. Math. 359, 88-101 (2019). MSC: 76S05 65N55 35Q35 PDFBibTeX XMLCite \textit{H. Akbari} et al., J. Comput. Appl. Math. 359, 88--101 (2019; Zbl 1444.76101) Full Text: DOI Link
Hassan, Sarah Ali; Japhet, Caroline; Kern, Michel; Vohralík, Martin A posteriori stopping criteria for optimized Schwarz domain decomposition algorithms in mixed formulations. (English) Zbl 1398.65272 Comput. Methods Appl. Math. 18, No. 3, 495-519 (2018). MSC: 65N15 65N22 65N55 65F10 76M10 76S05 PDFBibTeX XMLCite \textit{S. A. Hassan} et al., Comput. Methods Appl. Math. 18, No. 3, 495--519 (2018; Zbl 1398.65272) Full Text: DOI HAL
Hassan, Sarah Ali; Japhet, Caroline; Vohralík, Martin A posteriori stopping criteria for space-time domain decomposition for the heat equation in mixed formulations. (English) Zbl 1397.65167 ETNA, Electron. Trans. Numer. Anal. 49, 151-181 (2018). MSC: 65M15 65M22 65M55 65F10 76S05 80A20 PDFBibTeX XMLCite \textit{S. A. Hassan} et al., ETNA, Electron. Trans. Numer. Anal. 49, 151--181 (2018; Zbl 1397.65167) Full Text: DOI Link
Guiraldello, Rafael T.; Ausas, Roberto F.; Sousa, Fabricio S.; Pereira, Felipe; Buscaglia, Gustavo C. The multiscale Robin coupled method for flows in porous media. (English) Zbl 1380.76141 J. Comput. Phys. 355, 1-21 (2018). MSC: 76S05 65N55 65N30 PDFBibTeX XMLCite \textit{R. T. Guiraldello} et al., J. Comput. Phys. 355, 1--21 (2018; Zbl 1380.76141) Full Text: DOI
Hoang, Thi-Thao-Phuong; Japhet, Caroline; Kern, Michel; Roberts, Jean E. Space-time domain decomposition for advection-diffusion problems in mixed formulations. (English) Zbl 07313831 Math. Comput. Simul. 137, 366-389 (2017). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{T.-T.-P. Hoang} et al., Math. Comput. Simul. 137, 366--389 (2017; Zbl 07313831) Full Text: DOI arXiv
Abreu, Eduardo; Vieira, Jardel Computing numerical solutions of the pseudo-parabolic Buckley-Leverett equation with dynamic capillary pressure. (English) Zbl 07313814 Math. Comput. Simul. 137, 29-48 (2017). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{E. Abreu} and \textit{J. Vieira}, Math. Comput. Simul. 137, 29--48 (2017; Zbl 07313814) Full Text: DOI
Ginting, Victor; McCaskill, Bradley A multiscale domain decomposition method for flow and transport problems. (English) Zbl 1416.65497 Dickopf, Thomas (ed.) et al., Domain decomposition methods in science and engineering XXII. Proceedings of the 22nd international conference on domain decomposition methods, Lugano, Switzerland, September 16–20, 2013. Cham: Springer. Lect. Notes Comput. Sci. Eng. 104, 249-258 (2016). MSC: 65N55 76M25 PDFBibTeX XMLCite \textit{V. Ginting} and \textit{B. McCaskill}, Lect. Notes Comput. Sci. Eng. 104, 249--258 (2016; Zbl 1416.65497) Full Text: DOI
Hoang, Thao-Phuong; Japhet, Caroline; Kern, Michel; Roberts, Jean E. Space-time domain decomposition for reduced fracture models in mixed formulation. (English) Zbl 1382.76164 SIAM J. Numer. Anal. 54, No. 1, 288-316 (2016). MSC: 76M10 65M60 35K20 65M50 65M55 74R10 76S05 PDFBibTeX XMLCite \textit{T.-P. Hoang} et al., SIAM J. Numer. Anal. 54, No. 1, 288--316 (2016; Zbl 1382.76164) Full Text: DOI
Zeng, Yuping; Chen, Jinru; Li, Zhilin A parallel Robin-Robin domain decomposition method for \(H(\operatorname{div})\)-elliptic problems. (English) Zbl 1308.65203 Int. J. Comput. Math. 92, No. 2, 394-410 (2015). MSC: 65N30 65N55 65F10 PDFBibTeX XMLCite \textit{Y. Zeng} et al., Int. J. Comput. Math. 92, No. 2, 394--410 (2015; Zbl 1308.65203) Full Text: DOI
Francisco, A.; Ginting, V.; Pereira, Felipe; Rigelo, J. Design and implementation of a multiscale mixed method based on a nonoverlapping domain decomposition procedure. (English) Zbl 07312585 Math. Comput. Simul. 99, 125-138 (2014). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{A. Francisco} et al., Math. Comput. Simul. 99, 125--138 (2014; Zbl 07312585) Full Text: DOI
Abreu, Eduardo Numerical modelling of three-phase immiscible flow in heterogeneous porous media with gravitational effects. (English) Zbl 1466.76027 Math. Comput. Simul. 97, 234-259 (2014). MSC: 76M10 76M20 76S05 76T30 76R10 PDFBibTeX XMLCite \textit{E. Abreu}, Math. Comput. Simul. 97, 234--259 (2014; Zbl 1466.76027) Full Text: DOI
Pradhan, Debasish; Shalini, Baskar; Nataraj, Neela; Pani, Amiya K. A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems. (English) Zbl 1220.65173 Adv. Comput. Math. 34, No. 4, 339-368 (2011). Reviewer: Dietrich Braess (Bochum) MSC: 65N55 65N30 35J25 65Y05 65F10 65N12 PDFBibTeX XMLCite \textit{D. Pradhan} et al., Adv. Comput. Math. 34, No. 4, 339--368 (2011; Zbl 1220.65173) Full Text: DOI
Gauzellino, Patricia M.; Zyserman, Fabio I.; Santos, Juan E. Nonconforming finite element methods for the three-dimensional Helmholtz equation: iterative domain decomposition or global solution? (English) Zbl 1257.74150 J. Comput. Acoust. 17, No. 2, 159-174 (2009). MSC: 74S05 74J10 74L05 PDFBibTeX XMLCite \textit{P. M. Gauzellino} et al., J. Comput. Acoust. 17, No. 2, 159--174 (2009; Zbl 1257.74150) Full Text: DOI
Abreu, E.; Douglas, J. jun.; Furtado, F.; Marchesin, D.; Pereira, F. Three-phase immiscible displacement in heterogeneous petroleum reservoirs. (English) Zbl 1158.76346 Math. Comput. Simul. 73, No. 1-4, 2-20 (2006). MSC: 76M10 76S05 65M06 76M25 76T30 PDFBibTeX XMLCite \textit{E. Abreu} et al., Math. Comput. Simul. 73, No. 1--4, 2--20 (2006; Zbl 1158.76346) Full Text: DOI
Li, Zi-Cai; Huang, Chieh-Sen; Chen, Ren C. Interior boundary conditions in the Schwarz alternating method for the Trefftz method. (English) Zbl 1182.74255 Eng. Anal. Bound. Elem. 29, No. 5, 477-493 (2005). MSC: 74S30 74S20 PDFBibTeX XMLCite \textit{Z.-C. Li} et al., Eng. Anal. Bound. Elem. 29, No. 5, 477--493 (2005; Zbl 1182.74255) Full Text: DOI
Abreu, Eduardo; Furtado, Frederico; Pereira, Felipe On the numerical simulation of three-phase reservoir transport problems. (English) Zbl 1079.76069 Transp. Theory Stat. Phys. 33, No. 5-7, 503-526 (2005). Reviewer: Antonio Fasano (Firenze) MSC: 76S05 76T30 76M10 65M12 PDFBibTeX XMLCite \textit{E. Abreu} et al., Transp. Theory Stat. Phys. 33, No. 5--7, 503--526 (2005; Zbl 1079.76069) Full Text: DOI
Santos, Juan Enrique; Ravazzoli, Claudia Leonor; Gauzellino, Patricia Mercedes; Carcione, Jose M.; Cavallini, Fabio Simulation of waves in poro-viscoelastic rocks saturated by immiscible fluids. Numerical evidence of a second slow wave. (English) Zbl 1256.74014 J. Comput. Acoust. 12, No. 1, 1-21 (2004). MSC: 74J05 76Q05 65M55 65N30 65T50 74S05 76M10 PDFBibTeX XMLCite \textit{J. E. Santos} et al., J. Comput. Acoust. 12, No. 1, 1--21 (2004; Zbl 1256.74014) Full Text: DOI
Park, Jungho A primal mixed domain decomposition procedure based on the nonconforming streamline diffusion method. (English) Zbl 1054.65125 Appl. Numer. Math. 50, No. 2, 165-181 (2004). Reviewer: J. Lovíšek (Bratislava) MSC: 65N55 65N30 35J25 65N12 65Y05 PDFBibTeX XMLCite \textit{J. Park}, Appl. Numer. Math. 50, No. 2, 165--181 (2004; Zbl 1054.65125) Full Text: DOI
Ha, Taeyoung; Santos, Juan E.; Sheen, Dongwoo Nonconforming finite element methods for the simulation of waves in viscoelastic solids. (English) Zbl 1083.74586 Comput. Methods Appl. Mech. Eng. 191, No. 49-50, 5647-5670 (2002). MSC: 74S05 74J10 74D05 PDFBibTeX XMLCite \textit{T. Ha} et al., Comput. Methods Appl. Mech. Eng. 191, No. 49--50, 5647--5670 (2002; Zbl 1083.74586) Full Text: DOI
Rice, J. R.; Tsompanopoulou, P.; Vavalis, E. Fine tuning interface relaxation methods for elliptic differential equations. (English) Zbl 1017.65098 Appl. Numer. Math. 43, No. 4, 459-481 (2002). Reviewer: Vit Dolejsi (Praha) MSC: 65N55 65F10 65N12 35J05 PDFBibTeX XMLCite \textit{J. R. Rice} et al., Appl. Numer. Math. 43, No. 4, 459--481 (2002; Zbl 1017.65098) Full Text: DOI
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo Nonconforming Galerkin methods for the Helmholtz equation. (English) Zbl 1018.65125 Numer. Methods Partial Differ. Equations 17, No. 5, 475-494 (2001). Reviewer: Juan Pedro Milaszewicz (Buenos Aires) MSC: 65N30 35J05 65N12 65N15 65F10 65N55 PDFBibTeX XMLCite \textit{J. Douglas jun.} et al., Numer. Methods Partial Differ. Equations 17, No. 5, 475--494 (2001; Zbl 1018.65125) Full Text: DOI Link
Kim, Seongjai Artificial damping in multigrid methods. (English) Zbl 0974.65115 Appl. Math. Lett. 14, No. 3, 359-364 (2001). MSC: 65N55 65N06 35J25 PDFBibTeX XMLCite \textit{S. Kim}, Appl. Math. Lett. 14, No. 3, 359--364 (2001; Zbl 0974.65115) Full Text: DOI
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo A nonconforming mixed finite element method for Maxwell’s equations. (English) Zbl 1010.78013 Math. Models Methods Appl. Sci. 10, No. 4, 593-613 (2000). MSC: 78M10 65M60 PDFBibTeX XMLCite \textit{J. Douglas jun.} et al., Math. Models Methods Appl. Sci. 10, No. 4, 593--613 (2000; Zbl 1010.78013) Full Text: DOI
Kim, M.-Y.; Park, E.-J.; Park, Jungho Mixed finite element domain decomposition for nonlinear parabolic problems. (English) Zbl 0962.65081 Comput. Math. Appl. 40, No. 8-9, 1061-1070 (2000). Reviewer: Ll.G.Chambers (Bangor) MSC: 65M55 65M12 65M15 65M60 35K55 PDFBibTeX XMLCite \textit{M. Y. Kim} et al., Comput. Math. Appl. 40, No. 8--9, 1061--1070 (2000; Zbl 0962.65081) Full Text: DOI
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Ye, Xiu Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems. (English) Zbl 0941.65115 M2AN, Math. Model. Numer. Anal. 33, No. 4, 747-770 (1999). Reviewer: P.Burda (Praha) MSC: 65N30 65N55 35J25 65F10 PDFBibTeX XMLCite \textit{J. Douglas jun.} et al., M2AN, Math. Model. Numer. Anal. 33, No. 4, 747--770 (1999; Zbl 0941.65115) Full Text: DOI EuDML Link
Espedal, Magne S.; Tai, Xue-Cheng; Yan, Ningning A hybrid nonoverlapping domain decomposition scheme for advection dominated advection-diffusion problems. (English) Zbl 0916.65113 Numer. Algorithms 18, No. 3-4, 321-336 (1998). Reviewer: C.I.Gheorghiu (Cluj-Napoca) MSC: 65N55 65N30 65M55 35K15 65M60 35J25 65N12 PDFBibTeX XMLCite \textit{M. S. Espedal} et al., Numer. Algorithms 18, No. 3--4, 321--336 (1998; Zbl 0916.65113) Full Text: DOI
Yang, Suh-Yuh Error analysis of a weighted least-squares finite element method for 2-D incompressible flows in velocity-stress-pressure formulation. (English) Zbl 0929.76076 Math. Methods Appl. Sci. 21, No. 18, 1637-1654 (1998). MSC: 76M10 76D07 65N30 65N15 PDFBibTeX XMLCite \textit{S.-Y. Yang}, Math. Methods Appl. Sci. 21, No. 18, 1637--1654 (1998; Zbl 0929.76076) Full Text: DOI
Alduncin, Gonzalo Numerical resolvent methods for macro-hybrid mixed variational inequalities. (English) Zbl 0924.49005 Numer. Funct. Anal. Optimization 19, No. 7-8, 667-696 (1998). Reviewer: Muhammad Aslam Noor (Riyadh) MSC: 49J40 90C33 65N35 PDFBibTeX XMLCite \textit{G. Alduncin}, Numer. Funct. Anal. Optim. 19, No. 7--8, 667--696 (1998; Zbl 0924.49005) Full Text: DOI
Bennethum, Lynn Schreyer; Feng, Xiaobing A domain decomposition method for solving a Helmholtz-like problem in elasticity based on the Wilson nonconforming element. (English) Zbl 0877.73061 RAIRO, Modélisation Math. Anal. Numér. 31, No. 1, 1-25 (1997). Reviewer: L.Prášek (Plzeň) MSC: 74S05 74B20 PDFBibTeX XMLCite \textit{L. S. Bennethum} and \textit{X. Feng}, RAIRO, Modélisation Math. Anal. Numér. 31, No. 1, 1--25 (1997; Zbl 0877.73061) Full Text: DOI EuDML
Douglas, J. jun.; Huang, C.-S. An accelerated domain decomposition procedure based on Robin transmission conditions. (English) Zbl 0886.65114 BIT 37, No. 3, 678-686 (1997). Reviewer: P.Matus (Minsk) MSC: 65N55 65F10 65N12 35J05 PDFBibTeX XMLCite \textit{J. Douglas jun.} and \textit{C. S. Huang}, BIT 37, No. 3, 678--686 (1997; Zbl 0886.65114) Full Text: DOI
Kim, S.; Symes, W. W. Multifrequency simulation for acoustics. (English) Zbl 0886.35012 Appl. Math. Lett. 10, No. 4, 47-52 (1997). MSC: 65M99 65N99 65M55 35J05 35J25 PDFBibTeX XMLCite \textit{S. Kim} and \textit{W. W. Symes}, Appl. Math. Lett. 10, No. 4, 47--52 (1997; Zbl 0886.35012) Full Text: DOI
Benamou, Jean-David; Desprès, Bruno A domain decomposition method for the Helmholtz equation and related optimal control problems. (English) Zbl 0884.65118 J. Comput. Phys. 136, No. 1, 68-82 (1997). Reviewer: E.Lanckau (Chemnitz) MSC: 65N55 65F10 65N30 65N12 35J05 PDFBibTeX XMLCite \textit{J.-D. Benamou} and \textit{B. Desprès}, J. Comput. Phys. 136, No. 1, 68--82 (1997; Zbl 0884.65118) Full Text: DOI Link
Kim, S.; Lee, M. Artificial damping techniques for scalar waves in the frequency domain. (English) Zbl 0855.65127 Comput. Math. Appl. 31, No. 8, 1-12 (1996). Reviewer: P.Y.Yalamov (Russe) MSC: 65N55 65N06 35J05 PDFBibTeX XMLCite \textit{S. Kim} and \textit{M. Lee}, Comput. Math. Appl. 31, No. 8, 1--12 (1996; Zbl 0855.65127) Full Text: DOI
Chen, Zhangxin; Ewing, Richard E.; Lazarov, Raytcho Domain decomposition algorithms for mixed methods for second-order elliptic problems. (English) Zbl 0849.65088 Math. Comput. 65, No. 214, 467-490 (1996). Reviewer: W.Petry (Düsseldorf) MSC: 65N55 65N30 65F10 35J25 65F35 65N12 PDFBibTeX XMLCite \textit{Z. Chen} et al., Math. Comput. 65, No. 214, 467--490 (1996; Zbl 0849.65088) Full Text: DOI
Kim, M.-Y.; Park, E.-J. Mixed approximation of a population diffusion equation. (English) Zbl 0840.65139 Comput. Math. Appl. 30, No. 12, 23-33 (1995). Reviewer: M.Plum (Clausthal-Zellerfeld) MSC: 65R20 92D25 45G10 45J05 PDFBibTeX XMLCite \textit{M. Y. Kim} and \textit{E. J. Park}, Comput. Math. Appl. 30, No. 12, 23--33 (1995; Zbl 0840.65139) Full Text: DOI