Almani, Tameem; Kumar, Kundan; Wheeler, Mary F. Convergence analysis of single rate and multirate fixed stress split iterative coupling schemes in heterogeneous poroelastic media. (English) Zbl 07777351 Numer. Methods Partial Differ. Equations 39, No. 4, 3170-3194 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{T. Almani} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 3170--3194 (2023; Zbl 07777351) Full Text: DOI
Dana, Saumik; Jammoul, Mohamad; Wheeler, Mary F. Performance studies of the fixed stress split algorithm for immiscible two-phase flow coupled with linear poromechanics. (English) Zbl 1484.76040 Comput. Geosci. 26, No. 1, 13-27 (2022). MSC: 76M10 76S05 76T06 86A05 PDFBibTeX XMLCite \textit{S. Dana} et al., Comput. Geosci. 26, No. 1, 13--27 (2022; Zbl 1484.76040) Full Text: DOI
Kumar, Kundan; Kyas, Svetlana; Nordbotten, Jan Martin; Repin, Sergey Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem. (English) Zbl 1524.76458 Comput. Math. Appl. 91, 122-149 (2021). MSC: 76S05 76M10 74F10 74S05 65N30 PDFBibTeX XMLCite \textit{K. Kumar} et al., Comput. Math. Appl. 91, 122--149 (2021; Zbl 1524.76458) Full Text: DOI arXiv
Hong, Qingguo; Kraus, Johannes; Lymbery, Maria; Philo, Fadi Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot’s consolidation and multiple-network poroelasticity models. (English) Zbl 1471.65143 Math. Models Methods Appl. Sci. 30, No. 13, 2523-2555 (2020). Reviewer: Yan Xu (Hefei) MSC: 65M60 65M06 65M12 65F10 65F08 65N22 76S05 35R02 PDFBibTeX XMLCite \textit{Q. Hong} et al., Math. Models Methods Appl. Sci. 30, No. 13, 2523--2555 (2020; Zbl 1471.65143) Full Text: DOI arXiv
Hong, Qingguo; Kraus, Johannes; Lymbery, Maria; Wheeler, Mary F. Parameter-robust convergence analysis of fixed-stress split iterative method for multiple-permeability poroelasticity systems. (English) Zbl 1447.65077 Multiscale Model. Simul. 18, No. 2, 916-941 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M12 65F10 65N22 74F10 74B20 76S05 PDFBibTeX XMLCite \textit{Q. Hong} et al., Multiscale Model. Simul. 18, No. 2, 916--941 (2020; Zbl 1447.65077) Full Text: DOI arXiv
Almani, T.; Manea, A.; Kumar, K.; Dogru, A. H. Convergence of the undrained split iterative scheme for coupling flow with geomechanics in heterogeneous poroelastic media. (English) Zbl 1434.76120 Comput. Geosci. 24, No. 2, 551-569 (2020). MSC: 76S05 86A05 PDFBibTeX XMLCite \textit{T. Almani} et al., Comput. Geosci. 24, No. 2, 551--569 (2020; Zbl 1434.76120) Full Text: DOI Link
Dana, Saumik; Ita, Joel; Wheeler, Mary F. The correspondence between Voigt and Reuss bounds and the decoupling constraint in a two-grid staggered algorithm for consolidation in heterogeneous porous media. (English) Zbl 1433.74093 Multiscale Model. Simul. 18, No. 1, 221-239 (2020). MSC: 74Q20 PDFBibTeX XMLCite \textit{S. Dana} et al., Multiscale Model. Simul. 18, No. 1, 221--239 (2020; Zbl 1433.74093) Full Text: DOI
Almani, Tameem; Kumar, Kundan; Singh, Gurpreet; Wheeler, M. F. Stability of multirate explicit coupling of geomechanics with flow in a poroelastic medium. (English) Zbl 1443.65190 Comput. Math. Appl. 78, No. 8, 2682-2699 (2019). MSC: 65M60 76E20 76S05 PDFBibTeX XMLCite \textit{T. Almani} et al., Comput. Math. Appl. 78, No. 8, 2682--2699 (2019; Zbl 1443.65190) Full Text: DOI