Bucataru, Mihai; Marin, Liviu Accelerated iterative algorithms for the Cauchy problem in steady-state anisotropic heat conduction. (English) Zbl 07792394 Numer. Algorithms 95, No. 2, 605-636 (2024). MSC: 65N21 35R30 35R25 35J25 65J20 65N20 PDFBibTeX XMLCite \textit{M. Bucataru} and \textit{L. Marin}, Numer. Algorithms 95, No. 2, 605--636 (2024; Zbl 07792394) Full Text: DOI
Huang, Qin; Gong, Rongfang; Jin, Qinian; Zhang, Ye A Tikhonov regularization method for Cauchy problem based on a new relaxation model. (English) Zbl 1521.35206 Nonlinear Anal., Real World Appl. 74, Article ID 103935, 26 p. (2023). MSC: 35R30 35J05 65M32 PDFBibTeX XMLCite \textit{Q. Huang} et al., Nonlinear Anal., Real World Appl. 74, Article ID 103935, 26 p. (2023; Zbl 1521.35206) Full Text: DOI
Gong, Rongfang; Wang, Min; Huang, Qin; Zhang, Ye A CCBM-based generalized GKB iterative regularization algorithm for inverse Cauchy problems. (English) Zbl 1519.35070 J. Comput. Appl. Math. 432, Article ID 115282, 26 p. (2023). MSC: 35J05 35J25 35R30 65N30 PDFBibTeX XMLCite \textit{R. Gong} et al., J. Comput. Appl. Math. 432, Article ID 115282, 26 p. (2023; Zbl 1519.35070) Full Text: DOI
Bucataru, Mihai; Cimpean, Iulian; Marin, Liviu Stable reconstruction of discontinuous solutions to the Cauchy problem in steady-state anisotropic heat conduction with non-smooth coefficients. (English) Zbl 1515.80007 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 1029-1062 (2023). MSC: 80A23 65N20 65N21 65N30 35Q93 35R30 PDFBibTeX XMLCite \textit{M. Bucataru} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 2, 1029--1062 (2023; Zbl 1515.80007) Full Text: DOI
Bucataru, Mihai; Cîmpean, Iulian; Marin, Liviu A gradient-based regularization algorithm for the Cauchy problem in steady-state anisotropic heat conduction. (English) Zbl 1524.65707 Comput. Math. Appl. 119, 220-240 (2022). MSC: 65N06 35J20 35R30 65J20 PDFBibTeX XMLCite \textit{M. Bucataru} et al., Comput. Math. Appl. 119, 220--240 (2022; Zbl 1524.65707) Full Text: DOI
Voinea-Marinescu, Andreea-Paula; Marin, Liviu Fading regularization MFS algorithm for the Cauchy problem in anisotropic heat conduction. (English) Zbl 1478.80002 Comput. Mech. 68, No. 4, 921-941 (2021). MSC: 80A23 80A19 35K05 35B65 80M50 65K10 65N80 35R30 PDFBibTeX XMLCite \textit{A.-P. Voinea-Marinescu} and \textit{L. Marin}, Comput. Mech. 68, No. 4, 921--941 (2021; Zbl 1478.80002) Full Text: DOI
Voinea-Marinescu, Andreea-Paula; Marin, Liviu; Delvare, Franck BEM-fading regularization algorithm for Cauchy problems in 2D anisotropic heat conduction. (English) Zbl 1515.65276 Numer. Algorithms 88, No. 4, 1667-1702 (2021). MSC: 65N21 65N38 80A19 PDFBibTeX XMLCite \textit{A.-P. Voinea-Marinescu} et al., Numer. Algorithms 88, No. 4, 1667--1702 (2021; Zbl 1515.65276) Full Text: DOI