Wu, Siyu; Bai, Jinwei; He, Xiaoming; Zhao, Ren; Cao, Yong An immersed selective discontinuous Galerkin method in particle-in-cell simulation with adaptive Cartesian mesh and polynomial preserving recovery. (English) Zbl 07797671 J. Comput. Phys. 498, Article ID 112703, 22 p. (2024). MSC: 65Nxx 35Jxx 35Rxx PDFBibTeX XMLCite \textit{S. Wu} et al., J. Comput. Phys. 498, Article ID 112703, 22 p. (2024; Zbl 07797671) Full Text: DOI
Zhang, Xinyuan; Wang, Xiang The Hermite finite volume method with global conservation law. (English) Zbl 07784051 J. Sci. Comput. 98, No. 1, Paper No. 17, 24 p. (2024); correction ibid. 99, No. 1, Paper No. 13, 2 p. (2024). MSC: 65N08 65N30 65N12 65N15 74B10 76D07 35K05 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{X. Wang}, J. Sci. Comput. 98, No. 1, Paper No. 17, 24 p. (2024; Zbl 07784051) Full Text: DOI
Zhang, Yanlong; Zhou, Yanhui A finite volume element solution based on postprocessing technique over arbitrary convex polygonal meshes. (English) Zbl 07793817 Int. J. Numer. Anal. Model. 20, No. 5, 597-617 (2023). MSC: 65-XX 35J25 65N12 65N15 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{Y. Zhou}, Int. J. Numer. Anal. Model. 20, No. 5, 597--617 (2023; Zbl 07793817) Full Text: DOI
Shin, Dongwook; Jeon, Youngmok; Park, Eun-Jae Analysis of hybrid discontinuous Galerkin methods for linearized Navier-Stokes equations. (English) Zbl 07779712 Numer. Methods Partial Differ. Equations 39, No. 1, 304-328 (2023). MSC: 65N30 65N50 65N12 65N15 76D05 76M10 35A01 35A02 35Q30 PDFBibTeX XMLCite \textit{D. Shin} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 304--328 (2023; Zbl 07779712) Full Text: DOI
Zhou, Yanhui; Jiang, Ying; Zou, Qingsong Three dimensional high order finite volume element schemes for elliptic equations. (English) Zbl 07776979 Numer. Methods Partial Differ. Equations 39, No. 2, 1672-1705 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Y. Zhou} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1672--1705 (2023; Zbl 07776979) Full Text: DOI
Li, Chang-feng; Yuan, Yi-rang; Song, Huai-ling An upwind mixed finite volume element-fractional step method and convergence analysis for three-dimensional compressible contamination treatment from nuclear waste. (English) Zbl 07767304 Acta Math. Appl. Sin., Engl. Ser. 39, No. 4, 808-829 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65N30 65M15 65N12 76S05 35Q35 PDFBibTeX XMLCite \textit{C.-f. Li} et al., Acta Math. Appl. Sin., Engl. Ser. 39, No. 4, 808--829 (2023; Zbl 07767304) Full Text: DOI
Park, Hyeokjoo; Kwak, Do Y. An immersed weak Galerkin method for elliptic interface problems on polygonal meshes. (English) Zbl 07741358 Comput. Math. Appl. 147, 185-201 (2023). MSC: 65N30 65N15 35J25 65N12 74S05 PDFBibTeX XMLCite \textit{H. Park} and \textit{D. Y. Kwak}, Comput. Math. Appl. 147, 185--201 (2023; Zbl 07741358) Full Text: DOI arXiv
Poveda, Leonardo A.; Peixoto, Pedro On pointwise error estimates for Voronoï-based finite volume methods for the Poisson equation on the sphere. (English) Zbl 07713013 Adv. Comput. Math. 49, No. 3, Paper No. 36, 37 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N08 65N50 65N15 65N12 58J32 35J05 35J08 35B20 35B65 35R01 PDFBibTeX XMLCite \textit{L. A. Poveda} and \textit{P. Peixoto}, Adv. Comput. Math. 49, No. 3, Paper No. 36, 37 p. (2023; Zbl 07713013) Full Text: DOI arXiv
Chou, So-Hsiang; Attanayake, C. Construction of discontinuous enrichment functions for enriched or generalized FEM’s for interface elliptic problems in 1D. (English) Zbl 07711020 J. Comput. Appl. Math. 428, Article ID 115180, 13 p. (2023). MSC: 65Nxx 65Mxx 35Jxx PDFBibTeX XMLCite \textit{S.-H. Chou} and \textit{C. Attanayake}, J. Comput. Appl. Math. 428, Article ID 115180, 13 p. (2023; Zbl 07711020) Full Text: DOI arXiv
Wang, Xiang; Zhang, Yuqing; Zhang, Zhimin New superconvergent structures with optional superconvergent points for the finite volume element method. (English) Zbl 1514.65113 Commun. Comput. Phys. 33, No. 5, 1332-1356 (2023). MSC: 65M08 35L65 65M12 PDFBibTeX XMLCite \textit{X. Wang} et al., Commun. Comput. Phys. 33, No. 5, 1332--1356 (2023; Zbl 1514.65113) Full Text: DOI
Zhang, Jiehua; Chen, Zhongying \(L^2\) error estimates for a family of cubic finite volume methods on triangular meshes. (English) Zbl 07703985 Comput. Math. Appl. 143, 189-223 (2023). MSC: 65N30 65N15 35J25 65N08 65N12 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{Z. Chen}, Comput. Math. Appl. 143, 189--223 (2023; Zbl 07703985) Full Text: DOI
Xu, Wenhan; Ge, Liang Two-grid finite volume element methods for solving Cahn-Hilliard equation. (English) Zbl 1514.65114 Bull. Iran. Math. Soc. 49, No. 3, Paper No. 28, 34 p. (2023). MSC: 65M08 35Q74 74S05 PDFBibTeX XMLCite \textit{W. Xu} and \textit{L. Ge}, Bull. Iran. Math. Soc. 49, No. 3, Paper No. 28, 34 p. (2023; Zbl 1514.65114) Full Text: DOI
Zhang, Tong; Chu, Xiaochen; Chen, Chuanjun Unconditional stability and convergence analysis of fully discrete stabilized finite volume method for the time-dependent incompressible MHD flow. (English) Zbl 1517.65079 Discrete Contin. Dyn. Syst., Ser. B 28, No. 11, 5839-5880 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65M12 65M15 76D05 76W05 35Q35 65D32 PDFBibTeX XMLCite \textit{T. Zhang} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 11, 5839--5880 (2023; Zbl 1517.65079) Full Text: DOI
Zhou, Yanhui; Zhang, Yanlong; Wu, Jiming A polygonal finite volume element method for anisotropic diffusion problems. (English) Zbl 07692046 Comput. Math. Appl. 140, 225-236 (2023). MSC: 65N30 65N15 35J25 65N08 65N12 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Comput. Math. Appl. 140, 225--236 (2023; Zbl 07692046) Full Text: DOI
Chen, Guofang; Lv, Junliang; Zhang, Xinye Finite volume element method for nonlinear elliptic equations on quadrilateral meshes. (English) Zbl 07692041 Comput. Math. Appl. 140, 154-168 (2023). MSC: 65N15 65N30 35J25 65N12 65N08 PDFBibTeX XMLCite \textit{G. Chen} et al., Comput. Math. Appl. 140, 154--168 (2023; Zbl 07692041) Full Text: DOI
Wen, Xueying; Zhou, Yanhui A coercivity result of quadratic finite volume element schemes over triangular meshes. (English) Zbl 1524.65731 Adv. Appl. Math. Mech. 15, No. 4, 901-931 (2023). MSC: 65N08 35J25 65N30 PDFBibTeX XMLCite \textit{X. Wen} and \textit{Y. Zhou}, Adv. Appl. Math. Mech. 15, No. 4, 901--931 (2023; Zbl 1524.65731) Full Text: DOI
Choi, Yoonjeong; Jo, Gwanghyun; Kwak, Do Y.; Lee, Young Ju Locally conservative discontinuous bubble scheme for Darcy flow and its application to Hele-Shaw equation based on structured grids. (English) Zbl 1507.65178 Numer. Algorithms 92, No. 2, 1127-1152 (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65M60 65N30 65M06 76S05 76D27 35Q35 PDFBibTeX XMLCite \textit{Y. Choi} et al., Numer. Algorithms 92, No. 2, 1127--1152 (2023; Zbl 1507.65178) Full Text: DOI
He, Cuiyu; Zhang, Shun; Zhang, Xu Error analysis of Petrov-Galerkin immersed finite element methods. (English) Zbl 07644833 Comput. Methods Appl. Mech. Eng. 404, Article ID 115744, 26 p. (2023). MSC: 35R05 65N15 65N30 PDFBibTeX XMLCite \textit{C. He} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115744, 26 p. (2023; Zbl 07644833) Full Text: DOI
Guo, Changyin; Xiao, Xufeng; Feng, Xinlong; Tan, Zhijun An immersed finite element method for elliptic interface problems on surfaces. (English) Zbl 1524.65808 Comput. Math. Appl. 131, 54-67 (2023). MSC: 65N30 65N15 35J25 65N12 65N50 PDFBibTeX XMLCite \textit{C. Guo} et al., Comput. Math. Appl. 131, 54--67 (2023; Zbl 1524.65808) Full Text: DOI
Zhang, Yuqing; Wang, Xiang Unified construction and \(L^2\) analysis for the finite volume element method over tensorial meshes. (English) Zbl 1506.65190 Adv. Comput. Math. 49, No. 1, Paper No. 2, 23 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65N30 65N12 35R09 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{X. Wang}, Adv. Comput. Math. 49, No. 1, Paper No. 2, 23 p. (2023; Zbl 1506.65190) Full Text: DOI
Zhou, Yanhui; Wu, Jiming A new high order finite volume element solution on arbitrary triangular and quadrilateral meshes. (English) Zbl 1503.65278 Appl. Math. Lett. 134, Article ID 108354, 10 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65N50 65N15 65N12 65N30 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{J. Wu}, Appl. Math. Lett. 134, Article ID 108354, 10 p. (2022; Zbl 1503.65278) Full Text: DOI
Chen, Chuanjun; Lou, Yuzhi; Zhang, Tong Two-grid Crank-Nicolson finite volume element method for the time-dependent Schrödinger equation. (English) Zbl 1513.65328 Adv. Appl. Math. Mech. 14, No. 6, 1357-1380 (2022). MSC: 65M08 65M06 65N08 65M15 65M12 65M50 65M55 35J05 35Q41 PDFBibTeX XMLCite \textit{C. Chen} et al., Adv. Appl. Math. Mech. 14, No. 6, 1357--1380 (2022; Zbl 1513.65328) Full Text: DOI
Li, Changfeng; Yuan, Yirang; Cheng, Aijie; Song, Huailing A conservative upwind approximation on block-centered difference for chemical oil recovery displacement problem. (English) Zbl 1513.65368 Adv. Appl. Math. Mech. 14, No. 6, 1246-1275 (2022). MSC: 65M60 65M12 65M15 65M08 65M06 65N30 65N08 76S05 76R50 76V05 74L10 35B45 26A33 35R11 PDFBibTeX XMLCite \textit{C. Li} et al., Adv. Appl. Math. Mech. 14, No. 6, 1246--1275 (2022; Zbl 1513.65368) Full Text: DOI
Chu, Xiaochen; Chen, Chuanjun; Zhang, Tong Stability and convergence of spatial discrete stabilized finite volume method for the unsteady incompressible magnetohydrodynamics equations. (English) Zbl 1502.65086 Appl. Numer. Math. 181, 436-467 (2022). MSC: 65M08 65M06 65N08 65M12 65M15 76W05 76M12 35Q35 PDFBibTeX XMLCite \textit{X. Chu} et al., Appl. Numer. Math. 181, 436--467 (2022; Zbl 1502.65086) Full Text: DOI
Zhang, Jiehua A family of quadratic finite volume method for solving the Stokes equation. (English) Zbl 1524.65734 Comput. Math. Appl. 117, 155-186 (2022). MSC: 65N08 65N15 76D07 65N12 35J25 35B35 PDFBibTeX XMLCite \textit{J. Zhang}, Comput. Math. Appl. 117, 155--186 (2022; Zbl 1524.65734) Full Text: DOI
Zhao, R.; Du, W.; Shi, F.; Cao, Y. Recovery based finite difference scheme on unstructured mesh. (English) Zbl 1492.65289 Appl. Math. Lett. 129, Article ID 107935, 8 p. (2022). MSC: 65N06 65N12 35J96 PDFBibTeX XMLCite \textit{R. Zhao} et al., Appl. Math. Lett. 129, Article ID 107935, 8 p. (2022; Zbl 1492.65289) Full Text: DOI
Zhao, Xuan; Liu, Zhengguang A symmetric mixed covolume method for the nonlinear parabolic problem. (English) Zbl 07532896 J. Appl. Math. Comput. 68, No. 3, 1591-1611 (2022). MSC: 65-XX 35K55 65M12 65M15 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{Z. Liu}, J. Appl. Math. Comput. 68, No. 3, 1591--1611 (2022; Zbl 07532896) Full Text: DOI
Arshad, Muhammad; Jabeen, Rukhsana; Khan, Suliman A multiscale domain decomposition approach for parabolic equations using expanded mixed method. (English) Zbl 07529656 Math. Comput. Simul. 198, 127-150 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Arshad} et al., Math. Comput. Simul. 198, 127--150 (2022; Zbl 07529656) Full Text: DOI
Chen, Yanping; Deng, Zhirou; Huang, Yunqing Recovery-based a posteriori error estimation for elliptic interface problems based on partially penalized immersed finite element methods. (English) Zbl 1499.35730 Int. J. Numer. Anal. Model. 19, No. 1, 126-155 (2022). MSC: 35R35 65N15 65N30 PDFBibTeX XMLCite \textit{Y. Chen} et al., Int. J. Numer. Anal. Model. 19, No. 1, 126--155 (2022; Zbl 1499.35730) Full Text: Link
Gan, Xiaoting; Chen, Xiaolin; Xu, Dengguo Modulus-based successive overrelaxation iteration method for pricing American options with the two-asset Black-Scholes and Heston’s models based on finite volume discretization. (English) Zbl 1484.91516 Taiwanese J. Math. 26, No. 1, 69-101 (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 91G60 65M08 65M06 65F10 91G20 60G40 35R60 PDFBibTeX XMLCite \textit{X. Gan} et al., Taiwanese J. Math. 26, No. 1, 69--101 (2022; Zbl 1484.91516) Full Text: DOI
Chen, Chuanjun; Lou, Yuzhi; Hu, Hanzhang Two-grid finite volume element method for the time-dependent Schrödinger equation. (English) Zbl 1524.65491 Comput. Math. Appl. 108, 185-195 (2022). MSC: 65M55 65M60 65N30 65M12 65M15 35Q41 65M06 65M08 65N08 35Q60 65N50 PDFBibTeX XMLCite \textit{C. Chen} et al., Comput. Math. Appl. 108, 185--195 (2022; Zbl 1524.65491) Full Text: DOI
Sun, Weiwei New analysis and recovery technique of mixed FEMs for compressible miscible displacement in porous media. (English) Zbl 1491.65101 Numer. Math. 150, No. 1, 179-215 (2022). MSC: 65M60 65M06 65N30 65N12 35K61 76S05 76N10 35Q35 PDFBibTeX XMLCite \textit{W. Sun}, Numer. Math. 150, No. 1, 179--215 (2022; Zbl 1491.65101) Full Text: DOI
Wang, Saihua; Wang, Feng; Xu, Xuejun A robust multigrid method for one dimensional immersed finite element method. (English) Zbl 07776069 Numer. Methods Partial Differ. Equations 37, No. 3, 2244-2260 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Wang} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2244--2260 (2021; Zbl 07776069) Full Text: DOI
Rachid, Anas; Bahaj, Mohamed; Fakhar, Rachid Finite volume element approximation for time dependent convection diffusion reaction equations with memory. (English) Zbl 1499.65461 Comput. Methods Differ. Equ. 9, No. 4, 977-1000 (2021). MSC: 65M08 35K10 35K57 PDFBibTeX XMLCite \textit{A. Rachid} et al., Comput. Methods Differ. Equ. 9, No. 4, 977--1000 (2021; Zbl 1499.65461) Full Text: DOI
Kwon, In; Kwak, Do Y.; Jo, Gwanghyun Discontinuous bubble immersed finite element method for Poisson-Boltzmann-Nernst-Planck model. (English) Zbl 07505965 J. Comput. Phys. 438, Article ID 110370, 17 p. (2021). MSC: 65Nxx 35Jxx 74Sxx PDFBibTeX XMLCite \textit{I. Kwon} et al., J. Comput. Phys. 438, Article ID 110370, 17 p. (2021; Zbl 07505965) Full Text: DOI
Lou, Yuzhi; Chen, Chuanjun; Xue, Guanyu Two-grid finite volume element method combined with Crank-Nicolson scheme for semilinear parabolic equations. (English) Zbl 1488.65351 Adv. Appl. Math. Mech. 13, No. 4, 892-913 (2021). MSC: 65M08 65M06 65N08 65M55 65M12 35K91 PDFBibTeX XMLCite \textit{Y. Lou} et al., Adv. Appl. Math. Mech. 13, No. 4, 892--913 (2021; Zbl 1488.65351) Full Text: DOI
Zhang, Hongmei; Yin, Jianghua; Jin, Jicheng A two-grid finite-volume method for the Schrödinger equation. (English) Zbl 1488.65573 Adv. Appl. Math. Mech. 13, No. 1, 176-190 (2021). MSC: 65N08 65N55 65N50 35Q55 PDFBibTeX XMLCite \textit{H. Zhang} et al., Adv. Appl. Math. Mech. 13, No. 1, 176--190 (2021; Zbl 1488.65573) Full Text: DOI
Wang, Gang; Wang, Ying; He, Yinnian A weak Galerkin finite element method based on \(\boldsymbol{H}(\operatorname{div})\) virtual element for Darcy flow on polytopal meshes. (English) Zbl 1478.65132 J. Comput. Appl. Math. 398, Article ID 113677, 18 p. (2021). MSC: 65N30 65N50 65N15 35J25 76S05 76M10 35Q35 PDFBibTeX XMLCite \textit{G. Wang} et al., J. Comput. Appl. Math. 398, Article ID 113677, 18 p. (2021; Zbl 1478.65132) Full Text: DOI
Wu, Hao; Ying, Jinyong; Zou, Qingsong Finite volume element method for predicting electrostatics of a biomolecule immersed in an ionic solvent. (English) Zbl 1469.65160 Int. J. Numer. Anal. Model. 18, No. 2, 190-202 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 92-08 78A30 78A70 76T20 92C40 35Q20 35Q60 PDFBibTeX XMLCite \textit{H. Wu} et al., Int. J. Numer. Anal. Model. 18, No. 2, 190--202 (2021; Zbl 1469.65160) Full Text: Link
Zhou, Yanhui; Wu, Jiming High order locally conservative finite element solutions for anisotropic diffusion problems in two dimensions. (English) Zbl 1524.65887 Comput. Math. Appl. 92, 1-12 (2021). MSC: 65N30 65N15 35J25 65N08 65N12 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{J. Wu}, Comput. Math. Appl. 92, 1--12 (2021; Zbl 1524.65887) Full Text: DOI
Zhou, Guanyu An analysis on the finite volume schemes and the discrete Lyapunov inequalities for the chemotaxis system. (English) Zbl 1473.65152 J. Sci. Comput. 87, No. 2, Paper No. 54, 47 p. (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M15 65M12 35B09 35K55 92C17 35Q92 PDFBibTeX XMLCite \textit{G. Zhou}, J. Sci. Comput. 87, No. 2, Paper No. 54, 47 p. (2021; Zbl 1473.65152) Full Text: DOI
Jo, Gwanghyun; Kwak, Do Y.; Lee, Young-Ju Locally conservative immersed finite element method for elliptic interface problems. (English) Zbl 1471.65198 J. Sci. Comput. 87, No. 2, Paper No. 60, 27 p. (2021). MSC: 65N30 65N55 65F08 65F10 35J25 PDFBibTeX XMLCite \textit{G. Jo} et al., J. Sci. Comput. 87, No. 2, Paper No. 60, 27 p. (2021; Zbl 1471.65198) Full Text: DOI arXiv
Wang, Quanxiang; Xie, Jianqiang; Zhang, Zhiyue; Wang, Liqun Bilinear immersed finite volume element method for solving matrix coefficient elliptic interface problems with non-homogeneous jump conditions. (English) Zbl 1524.65865 Comput. Math. Appl. 86, 1-15 (2021). MSC: 65N30 65N08 35J25 65N15 65N12 65N50 35J15 PDFBibTeX XMLCite \textit{Q. Wang} et al., Comput. Math. Appl. 86, 1--15 (2021; Zbl 1524.65865) Full Text: DOI
Deka, Bhupen; Roy, Papri Weak Galerkin finite element methods for electric interface model with nonhomogeneous jump conditions. (English) Zbl 07771412 Numer. Methods Partial Differ. Equations 36, No. 4, 734-755 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{B. Deka} and \textit{P. Roy}, Numer. Methods Partial Differ. Equations 36, No. 4, 734--755 (2020; Zbl 07771412) Full Text: DOI
Singh, Peeyush; Sinha, Prawal Interior-exterior penalty approach for solving elasto-hydrodynamic lubrication problem. I. (English) Zbl 1477.58010 Int. J. Numer. Anal. Model. 17, No. 5, 695-731 (2020). MSC: 58E35 65C20 65N30 35J65 45K05 68N30 PDFBibTeX XMLCite \textit{P. Singh} and \textit{P. Sinha}, Int. J. Numer. Anal. Model. 17, No. 5, 695--731 (2020; Zbl 1477.58010) Full Text: Link
Gong, Wenbo; Zou, Qingsong Locally conservative finite element solutions for parabolic equations. (English) Zbl 1504.65202 Int. J. Numer. Anal. Model. 17, No. 5, 679-694 (2020). MSC: 65M60 65M08 65M06 65N30 65N08 65M12 65M15 35K20 PDFBibTeX XMLCite \textit{W. Gong} and \textit{Q. Zou}, Int. J. Numer. Anal. Model. 17, No. 5, 679--694 (2020; Zbl 1504.65202) Full Text: Link
Kim, Ji Hyun New mixed finite volume spaces for elliptic problems on parallelepiped. (English) Zbl 1488.65570 Adv. Appl. Math. Mech. 12, No. 4, 959-971 (2020). MSC: 65N08 65N15 65N30 35J25 76S05 35Q35 PDFBibTeX XMLCite \textit{J. H. Kim}, Adv. Appl. Math. Mech. 12, No. 4, 959--971 (2020; Zbl 1488.65570) Full Text: DOI
Wang, Yang; Chen, Yanping; Huang, Yunqing A two-grid method for semi-linear elliptic interface problems by partially penalized immersed finite element methods. (English) Zbl 1510.65299 Math. Comput. Simul. 169, 1-15 (2020). MSC: 65N30 35J61 PDFBibTeX XMLCite \textit{Y. Wang} et al., Math. Comput. Simul. 169, 1--15 (2020; Zbl 1510.65299) Full Text: DOI
Gan, Xiaoting; Xu, Dengguo An efficient symmetric finite volume element method for second-order variable coefficient parabolic integro-differential equations. (English) Zbl 1463.65348 Comput. Appl. Math. 39, No. 4, Paper No. 264, 24 p. (2020). MSC: 65N08 65N12 65N30 35R09 65N15 76S05 65N06 35Q35 PDFBibTeX XMLCite \textit{X. Gan} and \textit{D. Xu}, Comput. Appl. Math. 39, No. 4, Paper No. 264, 24 p. (2020; Zbl 1463.65348) Full Text: DOI
Wang, Q.; Zhang, Z. A modified immersed finite volume element method for elliptic interface problems. (English) Zbl 1451.65174 ANZIAM J. 62, No. 1, 42-61 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65N12 65N15 35J25 35R05 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{Z. Zhang}, ANZIAM J. 62, No. 1, 42--61 (2020; Zbl 1451.65174) Full Text: DOI
Zhao, Jie; Li, Hong; Fang, Zhichao; Liu, Yang; Wang, Huifang A splitting mixed covolume method for viscoelastic wave equations on triangular grids. (English) Zbl 1453.65263 Mediterr. J. Math. 17, No. 5, Paper No. 165, 24 p. (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M15 65M60 65M22 35K45 76A10 74D05 PDFBibTeX XMLCite \textit{J. Zhao} et al., Mediterr. J. Math. 17, No. 5, Paper No. 165, 24 p. (2020; Zbl 1453.65263) Full Text: DOI
Zhou, Yanhui; Wu, Jiming A unified analysis of a class of quadratic finite volume element schemes on triangular meshes. (English) Zbl 1448.65198 Adv. Comput. Math. 46, No. 5, Paper No. 71, 31 p. (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{J. Wu}, Adv. Comput. Math. 46, No. 5, Paper No. 71, 31 p. (2020; Zbl 1448.65198) Full Text: DOI
Li, Jian; He, Yinnian The property of the branch of nonsingular finite element/finite volume solutions to the stationary Navier-Stokes equations and its application. (English) Zbl 1465.65141 Int. J. Numer. Anal. Model. 17, No. 1, 42-53 (2020). MSC: 65N30 65N08 76D05 76S05 76M10 76M12 35Q35 PDFBibTeX XMLCite \textit{J. Li} and \textit{Y. He}, Int. J. Numer. Anal. Model. 17, No. 1, 42--53 (2020; Zbl 1465.65141) Full Text: Link
Zhang, Huili; Feng, Xinlong; Wang, Kun Long time error estimates of IFE methods for the unsteady multi-layer porous wall model. (English) Zbl 1442.65400 Appl. Numer. Math. 156, 303-321 (2020). MSC: 65N30 65M22 65M12 65M15 35K20 35Q31 76Z05 92C35 76M10 PDFBibTeX XMLCite \textit{H. Zhang} et al., Appl. Numer. Math. 156, 303--321 (2020; Zbl 1442.65400) Full Text: DOI
Zhao, Jie; Li, Hong; Fang, Zhichao; Bai, Xue Numerical solution of Burgers’ equation based on mixed finite volume element methods. (English) Zbl 1459.65171 Discrete Dyn. Nat. Soc. 2020, Article ID 6321209, 13 p. (2020). MSC: 65M08 65M12 65M15 35K59 35Q53 PDFBibTeX XMLCite \textit{J. Zhao} et al., Discrete Dyn. Nat. Soc. 2020, Article ID 6321209, 13 p. (2020; Zbl 1459.65171) Full Text: DOI
Wang, Saihua; Wang, Feng; Xu, Xuejun A rigorous condition number estimate of an immersed finite element method. (English) Zbl 1437.65202 J. Sci. Comput. 83, No. 2, Paper No. 29, 23 p. (2020). MSC: 65N30 65N12 35J25 65F35 35P15 PDFBibTeX XMLCite \textit{S. Wang} et al., J. Sci. Comput. 83, No. 2, Paper No. 29, 23 p. (2020; Zbl 1437.65202) Full Text: DOI
Li, Rui; Gao, Yali; Chen, Jie; Zhang, Li; He, Xiaoming; Chen, Zhangxin Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model. (English) Zbl 1436.65125 Adv. Comput. Math. 46, No. 2, Paper No. 25, 35 p. (2020). MSC: 65M08 65M60 65M50 65M12 76D05 76D45 76T06 76M12 35Q35 PDFBibTeX XMLCite \textit{R. Li} et al., Adv. Comput. Math. 46, No. 2, Paper No. 25, 35 p. (2020; Zbl 1436.65125) Full Text: DOI
Erath, Christoph; Schorr, Robert Stable non-symmetric coupling of the finite volume method and the boundary element method for convection-dominated parabolic-elliptic interface problems. (English) Zbl 1436.65164 Comput. Methods Appl. Math. 20, No. 2, 251-272 (2020). MSC: 65N08 65N38 65N40 65N12 65N15 65M06 65N30 65M12 65M15 35B45 82B24 PDFBibTeX XMLCite \textit{C. Erath} and \textit{R. Schorr}, Comput. Methods Appl. Math. 20, No. 2, 251--272 (2020; Zbl 1436.65164) Full Text: DOI arXiv
Zhou, Yanhui; Wu, Jiming A family of quadratic finite volume element schemes over triangular meshes for elliptic equations. (English) Zbl 1437.65169 Comput. Math. Appl. 79, No. 9, 2473-2491 (2020). MSC: 65N08 65N15 65N12 35J15 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{J. Wu}, Comput. Math. Appl. 79, No. 9, 2473--2491 (2020; Zbl 1437.65169) Full Text: DOI
Acharya, Sanjib Kumar; Porwal, Kamana Primal hybrid finite element method for fourth order parabolic problems. (English) Zbl 1434.65171 Appl. Numer. Math. 152, 12-28 (2020). MSC: 65M60 65M20 65M06 35K20 65M15 65N30 35K25 PDFBibTeX XMLCite \textit{S. K. Acharya} and \textit{K. Porwal}, Appl. Numer. Math. 152, 12--28 (2020; Zbl 1434.65171) Full Text: DOI
Cui, Ming; Li, Fangxia; Liang, Dong High-order characteristic-finite volume methods for aerosol dynamic equations. (English) Zbl 1447.65047 J. Comput. Appl. Math. 370, Article ID 112593, 16 p. (2020). Reviewer: Victor Michel-Dansac (Strasbourg) MSC: 65M08 65M15 65N08 65N15 65M25 65D05 65M06 35R09 92D40 35Q92 PDFBibTeX XMLCite \textit{M. Cui} et al., J. Comput. Appl. Math. 370, Article ID 112593, 16 p. (2020; Zbl 1447.65047) Full Text: DOI
Zhang, Zhiyue; Liang, Dong; Wang, Quanxiang Immersed finite element method and its analysis for parabolic optimal control problems with interfaces. (English) Zbl 1464.65134 Appl. Numer. Math. 147, 174-195 (2020). MSC: 65M60 49M41 49K20 49M25 35A15 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Appl. Numer. Math. 147, 174--195 (2020; Zbl 1464.65134) Full Text: DOI
Zhang, Tie; Li, Zheng A finite volume method for Stokes problems on quadrilateral meshes. (English) Zbl 1442.65329 Comput. Math. Appl. 77, No. 4, 1091-1106 (2019). MSC: 65N08 65N15 35Q35 76D07 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{Z. Li}, Comput. Math. Appl. 77, No. 4, 1091--1106 (2019; Zbl 1442.65329) Full Text: DOI
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview. (English) Zbl 1440.65138 Comput. Methods Appl. Mech. Eng. 346, 332-358 (2019). MSC: 65M60 35R11 65M15 PDFBibTeX XMLCite \textit{B. Jin} et al., Comput. Methods Appl. Mech. Eng. 346, 332--358 (2019; Zbl 1440.65138) Full Text: DOI arXiv
Xu, Yunbin Similarity solution and heat transfer characteristics for a class of nonlinear convection-diffusion equation with initial value conditions. (English) Zbl 1435.35204 Math. Probl. Eng. 2019, Article ID 3467276, 8 p. (2019). MSC: 35K59 35C06 35K20 PDFBibTeX XMLCite \textit{Y. Xu}, Math. Probl. Eng. 2019, Article ID 3467276, 8 p. (2019; Zbl 1435.35204) Full Text: DOI
Wang, Yang; Chen, Yanping; Huang, Yunqing; Liu, Ying Two-grid methods for semi-linear elliptic interface problems by immersed finite element methods. (English) Zbl 1431.65220 AMM, Appl. Math. Mech., Engl. Ed. 40, No. 11, 1657-1676 (2019). MSC: 65N30 35J61 65N15 PDFBibTeX XMLCite \textit{Y. Wang} et al., AMM, Appl. Math. Mech., Engl. Ed. 40, No. 11, 1657--1676 (2019; Zbl 1431.65220) Full Text: DOI
Jo, Gwanghyun; Kwak, Do Young Recent development of immersed FEM for elliptic and elastic interface problems. (English) Zbl 1434.65260 J. Korean Soc. Ind. Appl. Math. 23, No. 2, 65-92 (2019). MSC: 65N30 74S05 74B05 65N15 65N55 65N12 35J15 PDFBibTeX XMLCite \textit{G. Jo} and \textit{D. Y. Kwak}, J. Korean Soc. Ind. Appl. Math. 23, No. 2, 65--92 (2019; Zbl 1434.65260) Full Text: DOI
Liu, Yujie; Wang, Junping; Zou, Qingsong A conservative flux optimization finite element method for convection-diffusion equations. (English) Zbl 1422.65398 SIAM J. Numer. Anal. 57, No. 3, 1238-1262 (2019). MSC: 65N30 65N15 65N12 35B45 35J50 76S05 76T99 76R99 65N08 35Q35 PDFBibTeX XMLCite \textit{Y. Liu} et al., SIAM J. Numer. Anal. 57, No. 3, 1238--1262 (2019; Zbl 1422.65398) Full Text: DOI arXiv
Wang, Xiang; Huang, Weizhang; Li, Yonghai Conditioning of the finite volume element method for diffusion problems with general simplicial meshes. (English) Zbl 1433.65256 Math. Comput. 88, No. 320, 2665-2696 (2019). Reviewer: Eric Chung (Hong Kong) MSC: 65N08 65N12 65F10 65F35 15A18 35J15 PDFBibTeX XMLCite \textit{X. Wang} et al., Math. Comput. 88, No. 320, 2665--2696 (2019; Zbl 1433.65256) Full Text: DOI arXiv
Li, Jian; Lin, Xiaolin; Zhao, Xin Optimal estimates on stabilized finite volume methods for the incompressible Navier-Stokes model in three dimensions. (English) Zbl 1419.65039 Numer. Methods Partial Differ. Equations 35, No. 1, 128-154 (2019). MSC: 65M08 65M60 35Q30 76D05 35A15 65M12 65M15 PDFBibTeX XMLCite \textit{J. Li} et al., Numer. Methods Partial Differ. Equations 35, No. 1, 128--154 (2019; Zbl 1419.65039) Full Text: DOI
Wu, Dan; Yue, Jingyan; Yuan, Guangwei; Lv, Junliang Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients. (English) Zbl 1435.65139 Appl. Numer. Math. 140, 23-47 (2019). MSC: 65M08 35K20 35K65 65M06 PDFBibTeX XMLCite \textit{D. Wu} et al., Appl. Numer. Math. 140, 23--47 (2019; Zbl 1435.65139) Full Text: DOI
Jo, Gwanghyun; Kwak, Do Y. Geometric multigrid algorithms for elliptic interface problems using structured grids. (English) Zbl 1416.65499 Numer. Algorithms 81, No. 1, 211-235 (2019). MSC: 65N55 65N30 35J25 PDFBibTeX XMLCite \textit{G. Jo} and \textit{D. Y. Kwak}, Numer. Algorithms 81, No. 1, 211--235 (2019; Zbl 1416.65499) Full Text: DOI
Lu, Junxiang; Zhang, Tong Adaptive stabilized finite volume method and convergence analysis for the Oseen equations. (English) Zbl 1499.65620 Bound. Value Probl. 2018, Paper No. 129, 27 p. (2018). MSC: 65N08 65N30 35A01 35A02 65N12 65N15 76D07 76M10 76M12 35Q35 PDFBibTeX XMLCite \textit{J. Lu} and \textit{T. Zhang}, Bound. Value Probl. 2018, Paper No. 129, 27 p. (2018; Zbl 1499.65620) Full Text: DOI
Guo, Hailong; Yang, Xu Gradient recovery for elliptic interface problem. I: Body-fitted mesh. (English) Zbl 1488.65615 Commun. Comput. Phys. 23, No. 5, 1488-1511 (2018). MSC: 65N30 35J25 65N12 65N15 65N50 PDFBibTeX XMLCite \textit{H. Guo} and \textit{X. Yang}, Commun. Comput. Phys. 23, No. 5, 1488--1511 (2018; Zbl 1488.65615) Full Text: DOI arXiv
Li, Changfeng; Yuan, Yirang; Song, Huailing An upwind mixed volume element-fractional step method on a changing mesh for compressible contamination treatment from nuclear waste. (English) Zbl 1488.65344 Adv. Appl. Math. Mech. 10, No. 6, 1384-1417 (2018). MSC: 65M08 65M15 65N30 65N12 76S05 76R50 35K05 76N10 PDFBibTeX XMLCite \textit{C. Li} et al., Adv. Appl. Math. Mech. 10, No. 6, 1384--1417 (2018; Zbl 1488.65344) Full Text: DOI
Cao, Huijun; Cao, Yong; Chu, Yuchuan; He, Xiaoming; Lin, Tao A Huygens immersed-finite-element particle-in-cell method for modeling plasma-surface interactions with moving interface. (English) Zbl 1524.35666 Commun. Nonlinear Sci. Numer. Simul. 59, 132-148 (2018). MSC: 35R05 35R37 65M60 65T60 PDFBibTeX XMLCite \textit{H. Cao} et al., Commun. Nonlinear Sci. Numer. Simul. 59, 132--148 (2018; Zbl 1524.35666) Full Text: DOI
Chen, Chuanjun; Chen, Yanping; Zhao, Xin A posteriori error estimates of two-grid finite volume element methods for nonlinear elliptic problems. (English) Zbl 1409.65084 Comput. Math. Appl. 75, No. 5, 1756-1766 (2018). MSC: 65N08 65N15 35J25 35J62 PDFBibTeX XMLCite \textit{C. Chen} et al., Comput. Math. Appl. 75, No. 5, 1756--1766 (2018; Zbl 1409.65084) Full Text: DOI
Karaa, Samir; Pani, Amiya K. Error analysis of a FVEM for fractional order evolution equations with nonsmooth initial data. (English) Zbl 1404.65114 ESAIM, Math. Model. Numer. Anal. 52, No. 2, 773-801 (2018). MSC: 65M08 65M60 65M12 65M15 65M06 35R11 26A33 65D32 44A10 PDFBibTeX XMLCite \textit{S. Karaa} and \textit{A. K. Pani}, ESAIM, Math. Model. Numer. Anal. 52, No. 2, 773--801 (2018; Zbl 1404.65114) Full Text: DOI arXiv
Atouani, Noureddine; Ouali, Yousra; Omrani, Khaled Mixed finite element methods for the Rosenau equation. (English) Zbl 1395.65135 J. Appl. Math. Comput. 57, No. 1-2, 393-420 (2018). MSC: 65N30 65N12 65N15 35Q53 PDFBibTeX XMLCite \textit{N. Atouani} et al., J. Appl. Math. Comput. 57, No. 1--2, 393--420 (2018; Zbl 1395.65135) Full Text: DOI
Yuan, Yirang; Cheng, Aijie; Yang, Dangping; Li, Changfeng; Yang, Qing Convergence analysis of mixed volume element-characteristic mixed volume element for three-dimensional chemical oil-recovery seepage coupled problem. (English) Zbl 1399.65311 Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 2, 519-545 (2018). MSC: 65N12 65N08 65M08 65M12 65M25 35R11 35B45 PDFBibTeX XMLCite \textit{Y. Yuan} et al., Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 2, 519--545 (2018; Zbl 1399.65311) Full Text: DOI
Li, Rui; Gao, Yali; Li, Jian; Chen, Zhangxin Discontinuous finite volume element method for a coupled non-stationary Stokes-Darcy problem. (English) Zbl 1394.65131 J. Sci. Comput. 74, No. 2, 693-727 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 35Q35 76D07 65N15 65M06 76S05 65M15 76M12 PDFBibTeX XMLCite \textit{R. Li} et al., J. Sci. Comput. 74, No. 2, 693--727 (2018; Zbl 1394.65131) Full Text: DOI
Guo, Hailong; Yang, Xu Gradient recovery for elliptic interface problem. III: Nitsche’s method. (English) Zbl 1380.65368 J. Comput. Phys. 356, 46-63 (2018). MSC: 65N30 35R05 35J25 65N15 PDFBibTeX XMLCite \textit{H. Guo} and \textit{X. Yang}, J. Comput. Phys. 356, 46--63 (2018; Zbl 1380.65368) Full Text: DOI arXiv
Xiong, Zhiguang; Deng, Kang A quadratic triangular finite volume element method for a semilinear elliptic equation. (English) Zbl 1488.65571 Adv. Appl. Math. Mech. 9, No. 1, 186-204 (2017). MSC: 65N08 65N12 35J61 PDFBibTeX XMLCite \textit{Z. Xiong} and \textit{K. Deng}, Adv. Appl. Math. Mech. 9, No. 1, 186--204 (2017; Zbl 1488.65571) Full Text: DOI
Liu, Wei A two-grid method for the semi-linear reaction-diffusion system of the solutes in the groundwater flow by finite volume element. (English) Zbl 07313871 Math. Comput. Simul. 142, 34-50 (2017). MSC: 35-XX 65-XX PDFBibTeX XMLCite \textit{W. Liu}, Math. Comput. Simul. 142, 34--50 (2017; Zbl 07313871) Full Text: DOI
Guo, Hailong; Yang, Xu Gradient recovery for elliptic interface problem. II: Immersed finite element methods. (English) Zbl 1415.65256 J. Comput. Phys. 338, 606-619 (2017). MSC: 65N30 35J57 35R05 65N15 PDFBibTeX XMLCite \textit{H. Guo} and \textit{X. Yang}, J. Comput. Phys. 338, 606--619 (2017; Zbl 1415.65256) Full Text: DOI arXiv
Gallinato, Olivier; Poignard, Clair Superconvergent second-order Cartesian method for solving free boundary problem for invadopodia formation. (English) Zbl 1375.92019 J. Comput. Phys. 339, 412-431 (2017). MSC: 92C37 65M06 35Q92 35R37 PDFBibTeX XMLCite \textit{O. Gallinato} and \textit{C. Poignard}, J. Comput. Phys. 339, 412--431 (2017; Zbl 1375.92019) Full Text: DOI HAL
Gao, Yanni; Li, Yonghai A mortar mixed finite volume method for elliptic problems on non-matching multi-block triangular grids. (English) Zbl 1380.65332 J. Sci. Comput. 73, No. 1, 50-69 (2017). Reviewer: Petr Sváček (Praha) MSC: 65N08 65N12 65N15 35J25 65N30 65N50 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{Y. Li}, J. Sci. Comput. 73, No. 1, 50--69 (2017; Zbl 1380.65332) Full Text: DOI
Zou, Qingsong; Guo, Li; Deng, Quanling High order continuous local-conserving fluxes and finite-volume-like finite element solutions for elliptic equations. (English) Zbl 1377.65154 SIAM J. Numer. Anal. 55, No. 6, 2666-2686 (2017). MSC: 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{Q. Zou} et al., SIAM J. Numer. Anal. 55, No. 6, 2666--2686 (2017; Zbl 1377.65154) Full Text: DOI
Li, Changfeng; Yuan, Yirang; Sun, Tongjun; Yang, Qing Mixed volume element-characteristic fractional step difference method for contamination from nuclear waste disposal. (English) Zbl 1457.65123 J. Sci. Comput. 72, No. 2, 467-499 (2017). MSC: 65M60 65M08 65M25 65M12 65M15 76S05 80A19 35K05 35R11 PDFBibTeX XMLCite \textit{C. Li} et al., J. Sci. Comput. 72, No. 2, 467--499 (2017; Zbl 1457.65123) Full Text: DOI
Qin, Fangfang; Wang, Zhaohui; Ma, Zhijie; Li, Zhilin Accurate gradient computations at interfaces using finite element methods. (English) Zbl 1422.65409 Int. J. Appl. Math. Comput. Sci. 27, No. 3, 527-537 (2017). MSC: 65N30 35J15 PDFBibTeX XMLCite \textit{F. Qin} et al., Int. J. Appl. Math. Comput. Sci. 27, No. 3, 527--537 (2017; Zbl 1422.65409) Full Text: DOI arXiv
Guo, Hui; Yang, Yang Bound-preserving discontinuous Galerkin method for compressible miscible displacement in porous media. (English) Zbl 1457.65108 SIAM J. Sci. Comput. 39, No. 5, A1969-A1990 (2017). MSC: 65M60 76T06 76N10 76S05 35K40 76M10 35B50 35Q35 PDFBibTeX XMLCite \textit{H. Guo} and \textit{Y. Yang}, SIAM J. Sci. Comput. 39, No. 5, A1969--A1990 (2017; Zbl 1457.65108) Full Text: DOI arXiv
An, Na; Yu, Xijun; Chen, Huanzhen; Huang, Chaobao; Liu, Zhongyan A partially penalty immersed Crouzeix-Raviart finite element method for interface problems. (English) Zbl 1372.65302 J. Inequal. Appl. 2017, Paper No. 186, 29 p. (2017). MSC: 65N30 35J25 35R05 65N15 PDFBibTeX XMLCite \textit{N. An} et al., J. Inequal. Appl. 2017, Paper No. 186, 29 p. (2017; Zbl 1372.65302) Full Text: DOI
Cao, Waixiang; Zhang, Xu; Zhang, Zhimin Superconvergence of immersed finite element methods for interface problems. (English) Zbl 1380.65365 Adv. Comput. Math. 43, No. 4, 795-821 (2017). Reviewer: Vasilis Dimitriou (Chania) MSC: 65N30 65N15 35R05 35J25 65N12 PDFBibTeX XMLCite \textit{W. Cao} et al., Adv. Comput. Math. 43, No. 4, 795--821 (2017; Zbl 1380.65365) Full Text: DOI arXiv
Jin, Bangti; Lazarov, Raytcho; Thomée, Vidar; Zhou, Zhi On nonnegativity preservation in finite element methods for subdiffusion equations. (English) Zbl 1364.65197 Math. Comput. 86, No. 307, 2239-2260 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 35K05 35R11 65M20 65M08 35B50 PDFBibTeX XMLCite \textit{B. Jin} et al., Math. Comput. 86, No. 307, 2239--2260 (2017; Zbl 1364.65197) Full Text: DOI arXiv
Zou, Qingsong An unconditionally stable quadratic finite volume scheme over triangular meshes for elliptic equations. (English) Zbl 1364.65227 J. Sci. Comput. 70, No. 1, 112-124 (2017). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65N08 35J25 65N12 PDFBibTeX XMLCite \textit{Q. Zou}, J. Sci. Comput. 70, No. 1, 112--124 (2017; Zbl 1364.65227) Full Text: DOI
Chen, Chuanjun; Zhao, Xin A posteriori error estimate for finite volume element method of the parabolic equations. (English) Zbl 1361.65066 Numer. Methods Partial Differ. Equations 33, No. 1, 259-275 (2017). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M15 65M08 35K20 PDFBibTeX XMLCite \textit{C. Chen} and \textit{X. Zhao}, Numer. Methods Partial Differ. Equations 33, No. 1, 259--275 (2017; Zbl 1361.65066) Full Text: DOI
Zhou, Guanyu; Saito, Norikazu Finite volume methods for a Keller-Segel system: discrete energy, error estimates and numerical blow-up analysis. (English) Zbl 1360.65225 Numer. Math. 135, No. 1, 265-311 (2017). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M08 65M15 35M33 PDFBibTeX XMLCite \textit{G. Zhou} and \textit{N. Saito}, Numer. Math. 135, No. 1, 265--311 (2017; Zbl 1360.65225) Full Text: DOI
Lee, Seungwoo; Kwak, Do Y.; Sim, Imbo Immersed finite element method for eigenvalue problem. (English) Zbl 1353.65116 J. Comput. Appl. Math. 313, 410-426 (2017). MSC: 65N25 35P15 65N30 65N12 PDFBibTeX XMLCite \textit{S. Lee} et al., J. Comput. Appl. Math. 313, 410--426 (2017; Zbl 1353.65116) Full Text: DOI arXiv
Cui, Ming; Su, Yanxin; Liang, Dong High-order finite volume methods for aerosol dynamic equations. (English) Zbl 1488.65333 Adv. Appl. Math. Mech. 8, No. 2, 213-235 (2016). MSC: 65M08 76M12 76T10 35Q35 PDFBibTeX XMLCite \textit{M. Cui} et al., Adv. Appl. Math. Mech. 8, No. 2, 213--235 (2016; Zbl 1488.65333) Full Text: DOI
Sheng, Ying; Zhang, Tie; Jiang, Zhong-Zhong A stabilized finite volume method for the stationary Navier-Stokes equations. (English) Zbl 1360.76162 Chaos Solitons Fractals 89, 363-372 (2016). MSC: 76M12 65N08 35Q35 PDFBibTeX XMLCite \textit{Y. Sheng} et al., Chaos Solitons Fractals 89, 363--372 (2016; Zbl 1360.76162) Full Text: DOI