Yang, Haijian; Li, Rui; Yang, Chao Nonlinearly constrained pressure residual (NCPR) algorithms for fractured reservoir simulation. (English) Zbl 07805920 SIAM J. Sci. Comput. 46, No. 1, A561-A586 (2024). MSC: 76S05 65H10 65Y05 65F08 65N22 PDFBibTeX XMLCite \textit{H. Yang} et al., SIAM J. Sci. Comput. 46, No. 1, A561--A586 (2024; Zbl 07805920) Full Text: DOI
Zhang, Mei; Yang, Haijian; Yang, Chao; Sun, Shuyu Multilevel constrained pressure-temperature residual preconditioners for large-scale non-isothermal reservoir simulation via restricted additive Schwarz algorithms. (English) Zbl 07783562 Commun. Comput. Phys. 34, No. 3, 837-868 (2023). MSC: 65F08 49M15 65M55 68W10 76S05 90B05 PDFBibTeX XMLCite \textit{M. Zhang} et al., Commun. Comput. Phys. 34, No. 3, 837--868 (2023; Zbl 07783562) Full Text: DOI
Cheng, Tianpei; Yang, Haijian; Huang, Jizu; Yang, Chao Nonlinear parallel-in-time simulations of multiphase flow in porous media. (English) Zbl 07766229 J. Comput. Phys. 494, Article ID 112515, 18 p. (2023). MSC: 65Mxx 65Yxx 65Fxx PDFBibTeX XMLCite \textit{T. Cheng} et al., J. Comput. Phys. 494, Article ID 112515, 18 p. (2023; Zbl 07766229) Full Text: DOI
Shao, Baiqiang; Yang, Haijian; Zhao, Hong-Jie Scalable fully implicit methods for subsurface flows in porous media with fractional derivative. (English) Zbl 07674293 Comput. Math. Appl. 134, 55-65 (2023). MSC: 65M55 35R11 65H05 65K10 PDFBibTeX XMLCite \textit{B. Shao} et al., Comput. Math. Appl. 134, 55--65 (2023; Zbl 07674293) Full Text: DOI
Zhao, Hong-Jie; Yang, Haijian; Huang, Jizu Parallel generalized Lagrange-Newton method for fully coupled solution of PDE-constrained optimization problems with bound-constraints. (English) Zbl 1508.49011 Appl. Numer. Math. 184, 219-233 (2023). MSC: 49M41 65K10 PDFBibTeX XMLCite \textit{H.-J. Zhao} et al., Appl. Numer. Math. 184, 219--233 (2023; Zbl 1508.49011) Full Text: DOI
Yang, Haijian; Zhu, Zhaoni; Kou, Jisheng A minimum-type nonlinear complementarity simulator with constrained pressure residual (CPR) methods for wormhole propagation in carbonate acidization. (English) Zbl 07625401 J. Comput. Phys. 473, Article ID 111732, 20 p. (2023). MSC: 76Mxx 65Nxx 65Fxx PDFBibTeX XMLCite \textit{H. Yang} et al., J. Comput. Phys. 473, Article ID 111732, 20 p. (2023; Zbl 07625401) Full Text: DOI
Yang, Nian; Yang, Haijian; Yang, Chao Multilevel field-split preconditioners with domain decomposition for steady and unsteady flow problems. (English) Zbl 07682162 Comput. Phys. Commun. 280, Article ID 108496, 13 p. (2022). MSC: 76M99 76S05 65F10 65F08 65Y05 PDFBibTeX XMLCite \textit{N. Yang} et al., Comput. Phys. Commun. 280, Article ID 108496, 13 p. (2022; Zbl 07682162) Full Text: DOI
Cheng, Tianpei; Yang, Haijian; Sun, Shuyu Parallel fully coupled methods for bound-preserving solution of subsurface flow and transport in porous media. (English) Zbl 07599593 J. Comput. Phys. 470, Article ID 111537, 20 p. (2022). MSC: 65Mxx 76Mxx 65Fxx PDFBibTeX XMLCite \textit{T. Cheng} et al., J. Comput. Phys. 470, Article ID 111537, 20 p. (2022; Zbl 07599593) Full Text: DOI
Cheng, Tianpei; Yang, Haijian; Yang, Chao; Sun, Shuyu Scalable semismooth Newton methods with multilevel domain decomposition for subsurface flow and reactive transport in porous media. (English) Zbl 07568544 J. Comput. Phys. 467, Article ID 111440, 20 p. (2022). MSC: 76Mxx 65Nxx 65Fxx PDFBibTeX XMLCite \textit{T. Cheng} et al., J. Comput. Phys. 467, Article ID 111440, 20 p. (2022; Zbl 07568544) Full Text: DOI
Li, Yiteng; Yang, Haijian; Sun, Shuyu Fully implicit two-phase VT-flash compositional flow simulation enhanced by multilayer nonlinear elimination. (English) Zbl 07524787 J. Comput. Phys. 449, Article ID 110790, 23 p. (2022). MSC: 76Mxx 76Sxx 65Nxx PDFBibTeX XMLCite \textit{Y. Li} et al., J. Comput. Phys. 449, Article ID 110790, 23 p. (2022; Zbl 07524787) Full Text: DOI
Zhang, Mei; Yang, Haijian; Wu, Shuhong; Sun, Shuyu Parallel multilevel domain decomposition preconditioners for monolithic solution of non-isothermal flow in reservoir simulation. (English) Zbl 1521.76847 Comput. Fluids 232, Article ID 105183, 12 p. (2022). MSC: 76S05 65M22 76M10 PDFBibTeX XMLCite \textit{M. Zhang} et al., Comput. Fluids 232, Article ID 105183, 12 p. (2022; Zbl 1521.76847) Full Text: DOI
Yang, Haijian; Yang, Chao; Huang, Jizu Variational inequality transport model on the sphere by the active-set reduced-space algorithm. (English) Zbl 07690097 Comput. Phys. Commun. 260, Article ID 107739, 10 p. (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{H. Yang} et al., Comput. Phys. Commun. 260, Article ID 107739, 10 p. (2021; Zbl 07690097) Full Text: DOI
Li, Rui; Yang, Haijian; Yang, Chao Adaptive fully implicit simulator with multilevel Schwarz methods for gas reservoir flows in fractured porous media. (English) Zbl 1482.65183 Commun. Comput. Phys. 30, No. 5, 1499-1528 (2021). MSC: 65M60 65M22 65M55 76S05 PDFBibTeX XMLCite \textit{R. Li} et al., Commun. Comput. Phys. 30, No. 5, 1499--1528 (2021; Zbl 1482.65183) Full Text: DOI
Li, Rui; Yang, Haijian; Yang, Chao Parallel multilevel restricted Schwarz preconditioners for implicit simulation of subsurface flows with Peng-Robinson equation of state. (English) Zbl 07508377 J. Comput. Phys. 422, Article ID 109745, 19 p. (2020). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{R. Li} et al., J. Comput. Phys. 422, Article ID 109745, 19 p. (2020; Zbl 07508377) Full Text: DOI arXiv
Yang, Haijian; Li, Yiteng; Sun, Shuyu Nonlinearly preconditioned constraint-preserving algorithms for subsurface three-phase flow with capillarity. (English) Zbl 1442.76097 Comput. Methods Appl. Mech. Eng. 367, Article ID 113140, 17 p. (2020). MSC: 76M99 65Y05 76S05 PDFBibTeX XMLCite \textit{H. Yang} et al., Comput. Methods Appl. Mech. Eng. 367, Article ID 113140, 17 p. (2020; Zbl 1442.76097) Full Text: DOI
Yang, Haijian; Sun, Shuyu; Li, Yiteng; Yang, Chao Parallel reservoir simulators for fully implicit complementarity formulation of multicomponent compressible flows. (English) Zbl 07674826 Comput. Phys. Commun. 244, 2-12 (2019). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{H. Yang} et al., Comput. Phys. Commun. 244, 2--12 (2019; Zbl 07674826) Full Text: DOI
Yang, Haijian; Hwang, Feng-Nan A nonlinear elimination preconditioner for fully coupled space-time solution algorithm with applications to high-Rayleigh number thermal convective flow problems. (English) Zbl 1490.76077 Commun. Comput. Phys. 26, No. 3, 749-767 (2019). MSC: 76D05 65F08 49M15 65M55 68W10 PDFBibTeX XMLCite \textit{H. Yang} and \textit{F.-N. Hwang}, Commun. Comput. Phys. 26, No. 3, 749--767 (2019; Zbl 1490.76077) Full Text: DOI
Yang, Haijian; Sun, Shuyu; Li, Yiteng; Yang, Chao A fully implicit constraint-preserving simulator for the black oil model of petroleum reservoirs. (English) Zbl 1452.76138 J. Comput. Phys. 396, 347-363 (2019). MSC: 76M12 76T30 65Y05 65M08 PDFBibTeX XMLCite \textit{H. Yang} et al., J. Comput. Phys. 396, 347--363 (2019; Zbl 1452.76138) Full Text: DOI Link
Yang, Haijian; Sun, Shuyu; Li, Yiteng; Yang, Chao A scalable fully implicit framework for reservoir simulation on parallel computers. (English) Zbl 1439.76103 Comput. Methods Appl. Mech. Eng. 330, 334-350 (2018). MSC: 76M10 65M22 65M60 65Y05 76-10 76S05 76T10 PDFBibTeX XMLCite \textit{H. Yang} et al., Comput. Methods Appl. Mech. Eng. 330, 334--350 (2018; Zbl 1439.76103) Full Text: DOI Link
Yang, Haijian; Hwang, Feng-Nan An adaptive nonlinear elimination preconditioned inexact Newton algorithm for highly local nonlinear multicomponent PDE systems. (English) Zbl 1397.65245 Appl. Numer. Math. 133, 100-115 (2018). MSC: 65N22 65H10 76D05 65F08 65F10 76H05 PDFBibTeX XMLCite \textit{H. Yang} and \textit{F.-N. Hwang}, Appl. Numer. Math. 133, 100--115 (2018; Zbl 1397.65245) Full Text: DOI
Zhao, Hong-Jie; Yang, Haijian Semismooth Newton methods with domain decomposition for American options. (English) Zbl 1461.91362 J. Comput. Appl. Math. 337, 37-50 (2018). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 91G60 65M55 91G20 60G40 PDFBibTeX XMLCite \textit{H.-J. Zhao} and \textit{H. Yang}, J. Comput. Appl. Math. 337, 37--50 (2018; Zbl 1461.91362) Full Text: DOI
Yang, Haijian; Sun, Shuyu; Yang, Chao Nonlinearly preconditioned semismooth Newton methods for variational inequality solution of two-phase flow in porous media. (English) Zbl 1378.76115 J. Comput. Phys. 332, 1-20 (2017). MSC: 76S05 76T10 76M30 35R45 PDFBibTeX XMLCite \textit{H. Yang} et al., J. Comput. Phys. 332, 1--20 (2017; Zbl 1378.76115) Full Text: DOI Link
Yang, Haijian; Cai, Xiao-Chuan Two-level space-time domain decomposition methods for flow control problems. (English) Zbl 1404.65157 J. Sci. Comput. 70, No. 2, 717-743 (2017). MSC: 65M55 65Y05 76D05 65M06 35Q30 49K20 49M15 80A20 35Q79 93C20 65F08 65F10 PDFBibTeX XMLCite \textit{H. Yang} and \textit{X.-C. Cai}, J. Sci. Comput. 70, No. 2, 717--743 (2017; Zbl 1404.65157) Full Text: DOI
Yang, Haijian; Hwang, Feng-Nan; Cai, Xiao-Chuan Nonlinear preconditioning techniques for full-space Lagrange-Newton solution of PDE-constrained optimization problems. (English) Zbl 1348.65103 SIAM J. Sci. Comput. 38, No. 5, A2756-A2778 (2016). MSC: 65K10 49J20 49M15 49M37 90C20 76B75 PDFBibTeX XMLCite \textit{H. Yang} et al., SIAM J. Sci. Comput. 38, No. 5, A2756--A2778 (2016; Zbl 1348.65103) Full Text: DOI
Yang, Haijian; Yang, Chao; Sun, Shuyu Active-set reduced-space methods with nonlinear elimination for two-phase flow problems in porous media. (English) Zbl 1383.76384 SIAM J. Sci. Comput. 38, No. 4, B593-B618 (2016). MSC: 76M25 76S05 65K15 65Y05 76Txx PDFBibTeX XMLCite \textit{H. Yang} et al., SIAM J. Sci. Comput. 38, No. 4, B593--B618 (2016; Zbl 1383.76384) Full Text: DOI
Yang, Haijian; Yang, Chao; Cai, Xiao-Chuan Parallel domain decomposition methods with mixed order discretization for fully implicit solution of tracer transport problems on the cubed-sphere. (English) Zbl 1299.76165 J. Sci. Comput. 61, No. 2, 258-280 (2014). MSC: 76M12 35Q35 PDFBibTeX XMLCite \textit{H. Yang} et al., J. Sci. Comput. 61, No. 2, 258--280 (2014; Zbl 1299.76165) Full Text: DOI
Yang, Haijian; Prudencio, Ernesto E.; Cai, Xiao-Chuan Fully implicit Lagrange-Newton-Krylov-Schwarz algorithms for boundary control of unsteady incompressible flows. (English) Zbl 1253.65145 Int. J. Numer. Methods Eng. 91, No. 6, 644-665 (2012). MSC: 65M55 76D55 49M25 65Y05 PDFBibTeX XMLCite \textit{H. Yang} et al., Int. J. Numer. Methods Eng. 91, No. 6, 644--665 (2012; Zbl 1253.65145) Full Text: DOI
Yang, Haijian; Cai, Xiao-Chuan Parallel two-grid semismooth Newton-Krylov-Schwarz method for nonlinear complementarity problems. (English) Zbl 1217.65116 J. Sci. Comput. 47, No. 2, 258-280 (2011). MSC: 65K05 90C33 90C53 65Y05 65F08 PDFBibTeX XMLCite \textit{H. Yang} and \textit{X.-C. Cai}, J. Sci. Comput. 47, No. 2, 258--280 (2011; Zbl 1217.65116) Full Text: DOI