Wu, Rongfang; Shen, Xiaoqin; Shi, Dongyang; Yu, Jiaping Nonconforming finite element methods for two-dimensional linearly elastic shallow shell model. (English) Zbl 07800012 Adv. Appl. Math. Mech. 16, No. 2, 493-518 (2024). MSC: 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{R. Wu} et al., Adv. Appl. Math. Mech. 16, No. 2, 493--518 (2024; Zbl 07800012) Full Text: DOI
Zhang, Jiansong; Yu, Yue; Qin, Rong; Liu, Zhaohui A mass-preserving characteristic finite difference method for miscible displacement problem. (English) Zbl 07792920 Adv. Appl. Math. Mech. 16, No. 1, 164-180 (2024). MSC: 65M06 65M25 PDFBibTeX XMLCite \textit{J. Zhang} et al., Adv. Appl. Math. Mech. 16, No. 1, 164--180 (2024; Zbl 07792920) Full Text: DOI
Li, Di; Liu, Min; Lu, Xiliang; Yang, Jerry Zhijian The discontinuous Galerkin method by patch reconstruction for Helmholtz problems. (English) Zbl 1513.35144 Adv. Appl. Math. Mech. 15, No. 1, 30-48 (2023). MSC: 35J05 65N30 PDFBibTeX XMLCite \textit{D. Li} et al., Adv. Appl. Math. Mech. 15, No. 1, 30--48 (2023; Zbl 1513.35144) Full Text: DOI
Zhang, Jing; Rui, Hongxing Numerical analysis of two-grid block-centered finite difference method for two-phase flow in porous medium. (English) Zbl 1513.65323 Adv. Appl. Math. Mech. 14, No. 6, 1433-1455 (2022). MSC: 65M06 65M12 65M15 65M55 76S05 76T06 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{H. Rui}, Adv. Appl. Math. Mech. 14, No. 6, 1433--1455 (2022; Zbl 1513.65323) 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
Li, Xinshu; Fu, Kai Positive and conservative characteristic block-centered finite difference methods for convection dominated diffusion equations. (English) Zbl 1513.65296 Adv. Appl. Math. Mech. 14, No. 5, 1087-1110 (2022). MSC: 65M06 65M25 65M12 65M15 35L72 35A24 76R50 PDFBibTeX XMLCite \textit{X. Li} and \textit{K. Fu}, Adv. Appl. Math. Mech. 14, No. 5, 1087--1110 (2022; Zbl 1513.65296) Full Text: DOI
Si, Zhiyong; Dong, Piaopiao; Wang, Yunxia A modified characteristics finite element method for the electroneutral micro-fluids. (English) Zbl 1499.76073 Adv. Appl. Math. Mech. 14, No. 2, 386-414 (2022). MSC: 76M10 65N12 65N30 35K61 PDFBibTeX XMLCite \textit{Z. Si} et al., Adv. Appl. Math. Mech. 14, No. 2, 386--414 (2022; Zbl 1499.76073) Full Text: DOI
Clevenhaus, A.; Ehrhardt, M.; Günther, M. An ADI sparse grid method for pricing efficiently American options under the Heston model. (English) Zbl 1488.65232 Adv. Appl. Math. Mech. 13, No. 6, 1384-1397 (2021). MSC: 65M06 65N06 65N50 91G20 91G60 91B70 35Q91 PDFBibTeX XMLCite \textit{A. Clevenhaus} et al., Adv. Appl. Math. Mech. 13, No. 6, 1384--1397 (2021; Zbl 1488.65232) Full Text: DOI
Zhou, Quan; Sun, Yabing Explicit high order one-step methods for decoupled forward backward stochastic differential equations. (English) Zbl 1488.65018 Adv. Appl. Math. Mech. 13, No. 6, 1293-1317 (2021). MSC: 65C30 60H10 60H35 PDFBibTeX XMLCite \textit{Q. Zhou} and \textit{Y. Sun}, Adv. Appl. Math. Mech. 13, No. 6, 1293--1317 (2021; Zbl 1488.65018) Full Text: DOI
Wang, Yiying; Zou, Yongkui; Chai, Shimin \((1+s)\)-order convergence analysis of weak Galerkin finite element methods for second order elliptic equations. (English) Zbl 1488.65662 Adv. Appl. Math. Mech. 13, No. 3, 554-568 (2021). MSC: 65N30 65N15 65N12 35J15 PDFBibTeX XMLCite \textit{Y. Wang} et al., Adv. Appl. Math. Mech. 13, No. 3, 554--568 (2021; Zbl 1488.65662) Full Text: DOI
Khouya, Bassou; El-Amrani, Mofdi; Seaid, Mohammed A Galerkin-characteristic finite element method for three-dimensional convection-dominated problems. (English) Zbl 1488.65426 Adv. Appl. Math. Mech. 13, No. 3, 503-526 (2021). MSC: 65M60 65N30 76D33 65M25 65M12 76W05 76M10 PDFBibTeX XMLCite \textit{B. Khouya} et al., Adv. Appl. Math. Mech. 13, No. 3, 503--526 (2021; Zbl 1488.65426) Full Text: DOI
Yang, Yang; Lei, Yanfang; Si, Zhiyong Unconditional stability and error estimates of the modified characteristics FEM for the time-dependent viscoelastic Oldroyd flows. (English) Zbl 1488.76089 Adv. Appl. Math. Mech. 13, No. 2, 311-332 (2021). MSC: 76M10 65N12 65N30 35K61 PDFBibTeX XMLCite \textit{Y. Yang} et al., Adv. Appl. Math. Mech. 13, No. 2, 311--332 (2021; Zbl 1488.76089) Full Text: DOI
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei A conservative gradient discretization method for parabolic equations. (English) Zbl 1488.65362 Adv. Appl. Math. Mech. 13, No. 1, 232-260 (2021). MSC: 65M08 35K10 65M06 65M15 65M12 65N08 PDFBibTeX XMLCite \textit{H. Zhou} et al., Adv. Appl. Math. Mech. 13, No. 1, 232--260 (2021; Zbl 1488.65362) Full Text: DOI
Yuan, Yujing; Liang, Dong Optimization of identifying point pollution sources for the convection-diffusion-reaction equations. (English) Zbl 1488.65388 Adv. Appl. Math. Mech. 13, No. 1, 1-17 (2021). MSC: 65M32 35Q93 86A05 90C59 90C90 PDFBibTeX XMLCite \textit{Y. Yuan} and \textit{D. Liang}, Adv. Appl. Math. Mech. 13, No. 1, 1--17 (2021; Zbl 1488.65388) Full Text: DOI
Yuan, Yirang; Song, Huailing; Li, Changfeng; Sun, Tongjun An upwind mixed finite element method on changing meshes for positive semi-definite oil-water displacement of Darcy-Forchheimer flow in porous media. (English) Zbl 1488.65483 Adv. Appl. Math. Mech. 12, No. 5, 1196-1223 (2020). MSC: 65M60 65M06 65N30 65M12 65M15 76S05 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{Y. Yuan} et al., Adv. Appl. Math. Mech. 12, No. 5, 1196--1223 (2020; Zbl 1488.65483) Full Text: DOI
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
Liu, Ying; Sun, Yabing; Zhao, Weidong A fully discrete explicit multistep scheme for solving coupled forward backward stochastic differential equations. (English) Zbl 1488.65012 Adv. Appl. Math. Mech. 12, No. 3, 643-663 (2020). MSC: 65C30 60H10 60H35 65L06 PDFBibTeX XMLCite \textit{Y. Liu} et al., Adv. Appl. Math. Mech. 12, No. 3, 643--663 (2020; Zbl 1488.65012) Full Text: DOI
Guan, Hongbo; Yang, Yong; Zhu, Huiqing The convergence and superconvergence of a MFEM for elliptic optimal control problems. (English) Zbl 1488.65614 Adv. Appl. Math. Mech. 12, No. 2, 527-544 (2020). MSC: 65N30 65N15 65K10 93C20 PDFBibTeX XMLCite \textit{H. Guan} et al., Adv. Appl. Math. Mech. 12, No. 2, 527--544 (2020; Zbl 1488.65614) Full Text: DOI
Zhang, Bei; Zhao, Jikun A mixed formulation of stabilized nonconforming finite element method for linear elasticity. (English) Zbl 1488.65673 Adv. Appl. Math. Mech. 12, No. 1, 278-300 (2020). MSC: 65N30 65N15 65N12 74B10 PDFBibTeX XMLCite \textit{B. Zhang} and \textit{J. Zhao}, Adv. Appl. Math. Mech. 12, No. 1, 278--300 (2020; Zbl 1488.65673) Full Text: DOI
Liao, Shaokai; Zhang, Yan; Chen, Da Runge-Kutta finite element method based on the characteristic for the incompressible Navier-Stokes equations. (English) Zbl 1488.65430 Adv. Appl. Math. Mech. 11, No. 6, 1415-1435 (2019). MSC: 65M60 65M12 76D05 65L06 65M25 35Q30 PDFBibTeX XMLCite \textit{S. Liao} et al., Adv. Appl. Math. Mech. 11, No. 6, 1415--1435 (2019; Zbl 1488.65430) Full Text: DOI
Yuan, Yirang; Cheng, Aijie; Li, Changfeng; Sun, Tongjun; Yang, Qing A characteristics-mixed volume element method for the displacement problem of enhanced oil recovery. (English) Zbl 1488.65359 Adv. Appl. Math. Mech. 11, No. 5, 1084-1113 (2019). MSC: 65M08 65M60 65M25 65M12 65M15 76S05 35Q35 PDFBibTeX XMLCite \textit{Y. Yuan} et al., Adv. Appl. Math. Mech. 11, No. 5, 1084--1113 (2019; Zbl 1488.65359) Full Text: DOI
Du, Yanwei; Li, Yonghai; Sheng, Zhiqiang Quadratic finite volume method for a nonlinear elliptic problem. (English) Zbl 1488.65568 Adv. Appl. Math. Mech. 11, No. 4, 838-869 (2019). MSC: 65N08 65N15 65N12 35J60 PDFBibTeX XMLCite \textit{Y. Du} et al., Adv. Appl. Math. Mech. 11, No. 4, 838--869 (2019; Zbl 1488.65568) Full Text: DOI
Li, Limei; Lapin, Alexander; Zhang, Shuhua Alternating direction implicit finite element method for multi-dimensional Black-Scholes models. (English) Zbl 1488.65435 Adv. Appl. Math. Mech. 11, No. 2, 535-558 (2019). MSC: 65M60 65N06 65N30 65M12 65M15 91G20 91G60 35Q91 PDFBibTeX XMLCite \textit{L. Li} et al., Adv. Appl. Math. Mech. 11, No. 2, 535--558 (2019; Zbl 1488.65435) Full Text: DOI
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
Yang, Yan; Zhang, Shiquan Mixed finite element methods for elastodynamics problems in the symmetric formulation. (English) Zbl 1488.65478 Adv. Appl. Math. Mech. 10, No. 5, 1279-1304 (2018). MSC: 65M60 74H15 74S05 74B10 65M06 65N30 65N15 65N12 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{S. Zhang}, Adv. Appl. Math. Mech. 10, No. 5, 1279--1304 (2018; Zbl 1488.65478) Full Text: DOI
Zhao, Xin; Chen, Yanping Mortar element method for the coupling of Navier-Stokes and Darcy flows. (English) Zbl 1488.76032 Adv. Appl. Math. Mech. 10, No. 3, 710-734 (2018). MSC: 76D05 76S05 65N30 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{Y. Chen}, Adv. Appl. Math. Mech. 10, No. 3, 710--734 (2018; Zbl 1488.76032) Full Text: DOI
Tian, Zhikun; Chen, Yanping; Wang, Jianyun Superconvergence analysis of bilinear finite element for the nonlinear Schrödinger equation on the rectangular mesh. (English) Zbl 1488.65459 Adv. Appl. Math. Mech. 10, No. 2, 468-484 (2018). MSC: 65M60 65M15 65M12 65D05 65M22 35Q55 35Q41 PDFBibTeX XMLCite \textit{Z. Tian} et al., Adv. Appl. Math. Mech. 10, No. 2, 468--484 (2018; Zbl 1488.65459) Full Text: DOI
Li, Minghao; Shi, Dongyang; Dai, Ying New residual based stabilization method for the elasticity problem. (English) Zbl 1488.65638 Adv. Appl. Math. Mech. 10, No. 1, 100-113 (2018). MSC: 65N30 65N15 65N12 74B10 PDFBibTeX XMLCite \textit{M. Li} et al., Adv. Appl. Math. Mech. 10, No. 1, 100--113 (2018; Zbl 1488.65638) Full Text: DOI
Liu, Shang; Chen, Yanping A new two-grid method for expanded mixed finite element solution of nonlinear reaction diffusion equations. (English) Zbl 1488.65438 Adv. Appl. Math. Mech. 9, No. 3, 757-774 (2017). MSC: 65M60 65M12 65M22 65M15 65N55 PDFBibTeX XMLCite \textit{S. Liu} and \textit{Y. Chen}, Adv. Appl. Math. Mech. 9, No. 3, 757--774 (2017; Zbl 1488.65438) Full Text: DOI
Chen, Chuanmiao; Wang, Xiangqi; Hu, Hongling A high-efficient algorithm for parabolic problems with time-dependent coefficients. (English) Zbl 1488.65406 Adv. Appl. Math. Mech. 9, No. 2, 501-514 (2017). MSC: 65M60 65M12 65B05 65N22 35K10 65M06 65N30 65F10 65F08 65F35 PDFBibTeX XMLCite \textit{C. Chen} et al., Adv. Appl. Math. Mech. 9, No. 2, 501--514 (2017; Zbl 1488.65406) Full Text: DOI
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
Hou, Tianliang; Li, Li Error estimates of mixed methods for optimal control problems governed by general elliptic equations. (English) Zbl 1488.49009 Adv. Appl. Math. Mech. 8, No. 6, 1050-1071 (2016). MSC: 49J20 65N30 PDFBibTeX XMLCite \textit{T. Hou} and \textit{L. Li}, Adv. Appl. Math. Mech. 8, No. 6, 1050--1071 (2016; Zbl 1488.49009) Full Text: DOI
Zhang, Shangyou Coefficient jump-independent approximation of the conforming and nonconforming finite element solutions. (English) Zbl 1488.65675 Adv. Appl. Math. Mech. 8, No. 5, 722-736 (2016). MSC: 65N30 65D05 PDFBibTeX XMLCite \textit{S. Zhang}, Adv. Appl. Math. Mech. 8, No. 5, 722--736 (2016; Zbl 1488.65675) Full Text: DOI Link