Yang, Yong; Hao, Wenrui; Zhang, Yong-Tao A continuous finite element method with homotopy vanishing viscosity for solving the static eikonal equation. (English) Zbl 07529233 Commun. Comput. Phys. 31, No. 5, 1402-1433 (2022). MSC: 65N06 65N12 65N15 PDF BibTeX XML Cite \textit{Y. Yang} et al., Commun. Comput. Phys. 31, No. 5, 1402--1433 (2022; Zbl 07529233) Full Text: DOI OpenURL
Jiao, Yuling; Lai, Yanming; Li, Dingwei; Lu, Xiliang; Wang, Fengru; Wang, Yang; Yang, Jerry Zhijian A rate of convergence of physics informed neural networks for the linear second order elliptic PDEs. (English) Zbl 07529228 Commun. Comput. Phys. 31, No. 4, 1272-1295 (2022). MSC: 62G05 65N12 65N15 68T07 PDF BibTeX XML Cite \textit{Y. Jiao} et al., Commun. Comput. Phys. 31, No. 4, 1272--1295 (2022; Zbl 07529228) Full Text: DOI OpenURL
He, Ying; Zhao, Xiaofei Numerical integrators for dispersion-managed KdV equation. (English) Zbl 07529225 Commun. Comput. Phys. 31, No. 4, 1180-1214 (2022). MSC: 65M12 65M15 65M70 65Z05 35Q53 PDF BibTeX XML Cite \textit{Y. He} and \textit{X. Zhao}, Commun. Comput. Phys. 31, No. 4, 1180--1214 (2022; Zbl 07529225) Full Text: DOI OpenURL
Duan, Chenguang; Jiao, Yuling; Lai, Yanming; Li, Dingwei; Lu, Xiliang; Yang, Jerry Zhijian Convergence rate analysis for deep Ritz method. (English) Zbl 07529219 Commun. Comput. Phys. 31, No. 4, 1020-1048 (2022). MSC: 62G05 65N12 65N15 68T07 PDF BibTeX XML Cite \textit{C. Duan} et al., Commun. Comput. Phys. 31, No. 4, 1020--1048 (2022; Zbl 07529219) Full Text: DOI OpenURL
Wang, Jianyun; Tian, Zhikun Superconvergence of finite element approximations of the two-dimensional cubic nonlinear Schrödinger equation. (English) Zbl 07528510 Adv. Appl. Math. Mech. 14, No. 3, 652-665 (2022). MSC: 65N15 65N30 PDF BibTeX XML Cite \textit{J. Wang} and \textit{Z. Tian}, Adv. Appl. Math. Mech. 14, No. 3, 652--665 (2022; Zbl 07528510) Full Text: DOI OpenURL
Ibrahim, Salisu Discrete least square method for solving differential equations. (English) Zbl 07527468 Adv. Appl. Discrete Math. 30, 87-102 (2022). MSC: 65L05 65L10 65L70 34A30 PDF BibTeX XML Cite \textit{S. Ibrahim}, Adv. Appl. Discrete Math. 30, 87--102 (2022; Zbl 07527468) Full Text: DOI OpenURL
Kabeto, Masho Jima; Duressa, Gemechis File Implicit finite difference scheme for singularly perturbed Burger-Huxley equations. (English) Zbl 07526999 J. Partial Differ. Equations 35, No. 1, 87-100 (2022). MSC: 65M06 65M12 65M15 PDF BibTeX XML Cite \textit{M. J. Kabeto} and \textit{G. F. Duressa}, J. Partial Differ. Equations 35, No. 1, 87--100 (2022; Zbl 07526999) Full Text: DOI OpenURL
Rousset, Frédéric; Schratz, Katharina Convergence error estimates at low regularity for time discretizations of KdV. (English) Zbl 07526486 Pure Appl. Anal. 4, No. 1, 127-152 (2022). MSC: 65M15 PDF BibTeX XML Cite \textit{F. Rousset} and \textit{K. Schratz}, Pure Appl. Anal. 4, No. 1, 127--152 (2022; Zbl 07526486) Full Text: DOI OpenURL
Caucao, Sergio; Oyarzúa, Ricardo; Villa-Fuentes, Segundo; Yotov, Ivan A three-field Banach spaces-based mixed formulation for the unsteady Brinkman-Forchheimer equations. (English) Zbl 07526214 Comput. Methods Appl. Mech. Eng. 394, Article ID 114895, 32 p. (2022). MSC: 65N30 65N12 65N15 35Q79 80A20 76R05 76D07 PDF BibTeX XML Cite \textit{S. Caucao} et al., Comput. Methods Appl. Mech. Eng. 394, Article ID 114895, 32 p. (2022; Zbl 07526214) Full Text: DOI OpenURL
Yang, Shuping; Xiong, Xiangtuan; Pan, Ping; Sun, Yue Stationary iterated weighted Tikhonov regularization method for identifying an unknown source term of time-fractional radial heat equation. (English) Zbl 07525426 Numer. Algorithms 90, No. 2, 881-903 (2022). MSC: 65M32 65M30 65J20 65M12 65M15 35B45 35B65 35K05 35R30 35R25 26A33 35R11 35Q79 PDF BibTeX XML Cite \textit{S. Yang} et al., Numer. Algorithms 90, No. 2, 881--903 (2022; Zbl 07525426) Full Text: DOI OpenURL
Xie, Yingying; Zhong, Liuqiang; Zeng, Yuping Convergence of an adaptive modified WG method for second-order elliptic problem. (English) Zbl 07525421 Numer. Algorithms 90, No. 2, 789-808 (2022). MSC: 65-XX 65N15 65N30 35J20 PDF BibTeX XML Cite \textit{Y. Xie} et al., Numer. Algorithms 90, No. 2, 789--808 (2022; Zbl 07525421) Full Text: DOI OpenURL
Piao, Guang-Ri; Yao, Fuxia; Zhao, Wenju Reduced basis finite element methods for the Korteweg-de Vries-Burgers equation. (English) Zbl 07524476 Int. J. Numer. Anal. Model. 19, No. 2-3, 369-385 (2022). MSC: 65-XX 35G61 65D07 65M15 65M60 PDF BibTeX XML Cite \textit{G.-R. Piao} et al., Int. J. Numer. Anal. Model. 19, No. 2--3, 369--385 (2022; Zbl 07524476) Full Text: Link OpenURL
Liu, Dongjie; Zhou, Le; Zhang, Xiaoping On an adaptive LDG for the \(p\)-Laplace problem. (English) Zbl 07524473 Int. J. Numer. Anal. Model. 19, No. 2-3, 315-328 (2022). MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{D. Liu} et al., Int. J. Numer. Anal. Model. 19, No. 2--3, 315--328 (2022; Zbl 07524473) Full Text: Link OpenURL
Chen, Wenbin; Liu, Qianqian; Shen, Jie Error estimates and blow-up analysis of a finite-element approximation for the parabolic-elliptic Keller-Segel system. (English) Zbl 07524471 Int. J. Numer. Anal. Model. 19, No. 2-3, 275-298 (2022). MSC: 65M60 65M12 65M15 35K61 35K55 92C17 PDF BibTeX XML Cite \textit{W. Chen} et al., Int. J. Numer. Anal. Model. 19, No. 2--3, 275--298 (2022; Zbl 07524471) Full Text: Link OpenURL
Li, Shan; Sun, Guilei; Guo, Yuling; Wang, Zhongqing A multiple interval Chebyshev-Gauss-Lobatto collocation method for multi-order fractional differential equations. (English) Zbl 07524374 East Asian J. Appl. Math. 12, No. 3, 649-672 (2022). MSC: 65L60 34A08 65L70 PDF BibTeX XML Cite \textit{S. Li} et al., East Asian J. Appl. Math. 12, No. 3, 649--672 (2022; Zbl 07524374) Full Text: DOI OpenURL
Ye, Xiu; Zhang, Shangyou Achieving superconvergence by one-dimensional discontinuous finite elements: weak Galerkin method. (English) Zbl 07524370 East Asian J. Appl. Math. 12, No. 3, 590-598 (2022). MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{X. Ye} and \textit{S. Zhang}, East Asian J. Appl. Math. 12, No. 3, 590--598 (2022; Zbl 07524370) Full Text: DOI OpenURL
Zhou, Yongtao; Stynes, Martin Optimal convergence rates in time-fractional discretisations: the \(\mathrm{L1}, \overline{\mathrm{L1}}\) and Alikhanov schemes. (English) Zbl 07524366 East Asian J. Appl. Math. 12, No. 3, 503-520 (2022). MSC: 65L05 65L70 PDF BibTeX XML Cite \textit{Y. Zhou} and \textit{M. Stynes}, East Asian J. Appl. Math. 12, No. 3, 503--520 (2022; Zbl 07524366) Full Text: DOI OpenURL
Manzini, Gianmarco; Mazzia, Annamaria A virtual element generalization on polygonal meshes of the Scott-Vogelius finite element method for the 2-D Stokes problem. (English) Zbl 07524355 J. Comput. Dyn. 9, No. 2, 207-238 (2022). MSC: 65N30 65N22 65N12 65N15 76D07 76M10 35Q35 PDF BibTeX XML Cite \textit{G. Manzini} and \textit{A. Mazzia}, J. Comput. Dyn. 9, No. 2, 207--238 (2022; Zbl 07524355) Full Text: DOI OpenURL
Li, Xiaoli; Shen, Jie On fully decoupled MSAV schemes for the Cahn-Hilliard-Navier-Stokes model of two-phase incompressible flows. (English) Zbl 07524187 Math. Models Methods Appl. Sci. 32, No. 3, 457-495 (2022). MSC: 65-XX 35G25 65M12 65M15 65Z05 76D05 PDF BibTeX XML Cite \textit{X. Li} and \textit{J. Shen}, Math. Models Methods Appl. Sci. 32, No. 3, 457--495 (2022; Zbl 07524187) Full Text: DOI OpenURL
Pérez-López, Jhean E.; Rueda-Gómez, Diego A.; Villamizar-Roa, Élder J. Numerical analysis of a chemotaxis model for tumor invasion. (English) Zbl 07523520 Adv. Comput. Math. 48, No. 3, Paper No. 26, 28 p. (2022). MSC: 35Q92 92C50 92C15 65M15 65M60 65M12 PDF BibTeX XML Cite \textit{J. E. Pérez-López} et al., Adv. Comput. Math. 48, No. 3, Paper No. 26, 28 p. (2022; Zbl 07523520) Full Text: DOI OpenURL
Li, Jichun; Shu, Chi-Wang; Yang, Wei Development and analysis of two new finite element schemes for a time-domain carpet cloak model. (English) Zbl 07523518 Adv. Comput. Math. 48, No. 3, Paper No. 24, 30 p. (2022). MSC: 78M10 65M60 65M06 65N30 65M12 65M15 65F10 35Q60 PDF BibTeX XML Cite \textit{J. Li} et al., Adv. Comput. Math. 48, No. 3, Paper No. 24, 30 p. (2022; Zbl 07523518) Full Text: DOI OpenURL
Djoko, Jules K.; Koko, Jonas; Konlack, Sognia Stokes equations under Tresca friction boundary condition: a truncated approach. (English) Zbl 07523516 Adv. Comput. Math. 48, No. 3, Paper No. 22, 27 p. (2022). MSC: 65N30 76M10 65N12 65N15 35D30 35B65 76D07 76D10 35Q35 PDF BibTeX XML Cite \textit{J. K. Djoko} et al., Adv. Comput. Math. 48, No. 3, Paper No. 22, 27 p. (2022; Zbl 07523516) Full Text: DOI OpenURL
Ding, Qianqian; Long, Xiaonian; Mao, Shipeng Convergence analysis of a fully discrete finite element method for thermally coupled incompressible MHD problems with temperature-dependent coefficients. (English) Zbl 07523326 ESAIM, Math. Model. Numer. Anal. 56, No. 3, 969-1005 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76W05 35D30 35A01 35A02 76M10 76M20 35Q35 PDF BibTeX XML Cite \textit{Q. Ding} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 3, 969--1005 (2022; Zbl 07523326) Full Text: DOI OpenURL
Adiyaman, Meltem High order approach for solving chaotic and hyperchaotic problems. (English) Zbl 07523298 Hacet. J. Math. Stat. 51, No. 1, 27-47 (2022). MSC: 65L05 65L70 65P20 37M05 PDF BibTeX XML Cite \textit{M. Adiyaman}, Hacet. J. Math. Stat. 51, No. 1, 27--47 (2022; Zbl 07523298) Full Text: DOI OpenURL
Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Wick, Thomas Legendre spectral element method (LSEM) to simulate the two-dimensional system of nonlinear stochastic advection-reaction-diffusion models. (English) Zbl 07518232 Appl. Anal. 101, No. 6, 2279-2294 (2022). MSC: 65M70 65M06 65N35 65M12 65M15 86A05 35R60 PDF BibTeX XML Cite \textit{M. Abbaszadeh} et al., Appl. Anal. 101, No. 6, 2279--2294 (2022; Zbl 07518232) Full Text: DOI OpenURL
Gantner, Gregor; Praetorius, Dirk Adaptive BEM for elliptic PDE systems. I: abstract framework, for weakly-singular integral equations. (English) Zbl 07518224 Appl. Anal. 101, No. 6, 2085-2118 (2022). MSC: 65N15 65N30 65N38 65N50 PDF BibTeX XML Cite \textit{G. Gantner} and \textit{D. Praetorius}, Appl. Anal. 101, No. 6, 2085--2118 (2022; Zbl 07518224) Full Text: DOI OpenURL
Wang, Junjun Superconvergence analysis for a semilinear parabolic equation with BDF-3 finite element method. (English) Zbl 07518208 Appl. Anal. 101, No. 6, 1822-1832 (2022). MSC: 65N15 65N30 PDF BibTeX XML Cite \textit{J. Wang}, Appl. Anal. 101, No. 6, 1822--1832 (2022; Zbl 07518208) Full Text: DOI OpenURL
Huang, Pengzhan A finite element algorithm for the nonstationary incompressible magnetohydrodynamic system based on a correction method. (English) Zbl 07516917 Mediterr. J. Math. 19, No. 3, Paper No. 113, 27 p. (2022). MSC: 65M60 65M06 65N30 65M15 65M12 76W05 76M10 76M20 35Q35 PDF BibTeX XML Cite \textit{P. Huang}, Mediterr. J. Math. 19, No. 3, Paper No. 113, 27 p. (2022; Zbl 07516917) Full Text: DOI OpenURL
Bir, Bikram; Goswami, Deepjyoti; Pani, Amiya K. Finite element penalty method for the Oldroyd model of order one with non-smooth initial data. (English) Zbl 07516746 Comput. Methods Appl. Math. 22, No. 2, 297-325 (2022). MSC: 65M60 65M15 35Q35 PDF BibTeX XML Cite \textit{B. Bir} et al., Comput. Methods Appl. Math. 22, No. 2, 297--325 (2022; Zbl 07516746) Full Text: DOI OpenURL
Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong Unstructured space-time finite element methods for optimal sparse control of parabolic equations. (English) Zbl 07516515 Herzog, Roland (ed.) et al., Optimization and control for partial differential equations. Uncertainty quantification, open and closed-loop control, and shape optimization. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 29, 167-188 (2022). MSC: 49J20 35K20 65M60 65M50 65M15 65Y05 35K58 49M15 PDF BibTeX XML Cite \textit{U. Langer} et al., Radon Ser. Comput. Appl. Math. 29, 167--188 (2022; Zbl 07516515) Full Text: DOI OpenURL
Salzo, Saverio; Villa, Silvia Parallel random block-coordinate forward-backward algorithm: a unified convergence analysis. (English) Zbl 07516310 Math. Program. 193, No. 1 (A), 225-269 (2022). MSC: 65K05 90C25 90C06 49M27 PDF BibTeX XML Cite \textit{S. Salzo} and \textit{S. Villa}, Math. Program. 193, No. 1 (A), 225--269 (2022; Zbl 07516310) Full Text: DOI OpenURL
Przybyłowicz, Paweł; Sobieraj, Michał; Stȩpień, Łukasz Efficient approximation of SDEs driven by countably dimensional Wiener process and Poisson random measure. (English) Zbl 07516280 SIAM J. Numer. Anal. 60, No. 2, 824-855 (2022). MSC: 65C30 68Q25 65Y20 PDF BibTeX XML Cite \textit{P. Przybyłowicz} et al., SIAM J. Numer. Anal. 60, No. 2, 824--855 (2022; Zbl 07516280) Full Text: DOI OpenURL
Li, Jiyong Error analysis of a time fourth-order exponential wave integrator Fourier pseudo-spectral method for the nonlinear Dirac equation. (English) Zbl 07513111 Int. J. Comput. Math. 99, No. 4, 791-807 (2022). MSC: 65M15 65M70 PDF BibTeX XML Cite \textit{J. Li}, Int. J. Comput. Math. 99, No. 4, 791--807 (2022; Zbl 07513111) Full Text: DOI OpenURL
Leitenmaier, Lena; Runborg, Olof On homogenization of the Landau-Lifshitz equation with rapidly oscillating material coefficient. (English) Zbl 07512731 Commun. Math. Sci. 20, No. 3, 653-694 (2022). MSC: 35B27 35Q60 65M15 82D40 PDF BibTeX XML Cite \textit{L. Leitenmaier} and \textit{O. Runborg}, Commun. Math. Sci. 20, No. 3, 653--694 (2022; Zbl 07512731) Full Text: DOI OpenURL
Jawecki, Tobias A study of defect-based error estimates for the Krylov approximation of \(\varphi\)-functions. (English) Zbl 07512667 Numer. Algorithms 90, No. 1, 323-361 (2022). MSC: 65F60 65L70 65N22 PDF BibTeX XML Cite \textit{T. Jawecki}, Numer. Algorithms 90, No. 1, 323--361 (2022; Zbl 07512667) Full Text: DOI OpenURL
Alnashri, Yahya Convergence analysis for a nonlinear system of parabolic variational inequalities. (English) Zbl 07512171 J. Inequal. Appl. 2022, Paper No. 16, 18 p. (2022). MSC: 35J86 65N12 65N15 76S05 PDF BibTeX XML Cite \textit{Y. Alnashri}, J. Inequal. Appl. 2022, Paper No. 16, 18 p. (2022; Zbl 07512171) Full Text: DOI OpenURL
Meddahi, Salim Variational eigenvalue approximation of non-coercive operators with application to mixed formulations in elasticity. (English) Zbl 07511990 S\(\vec{\text{e}}\)MA J. 79, No. 1, 139-164 (2022). MSC: 65N25 65N30 65N12 65N15 74B05 74S05 PDF BibTeX XML Cite \textit{S. Meddahi}, S\(\vec{\text{e}}\)MA J. 79, No. 1, 139--164 (2022; Zbl 07511990) Full Text: DOI OpenURL
Benkhaldoun, Fayssal; Bradji, Abdallah; Ghoudi, Tarek A finite volume scheme for a wave equation with several time independent delays. (English) Zbl 07511671 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 13th international conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13127, 498-506 (2022). MSC: 65M08 65N08 65M12 65M15 35L20 35R07 PDF BibTeX XML Cite \textit{F. Benkhaldoun} et al., Lect. Notes Comput. Sci. 13127, 498--506 (2022; Zbl 07511671) Full Text: DOI OpenURL
Benkhaldoun, Fayssal; Bradji, Abdallah A new error estimate for a primal-dual Crank-Nicolson mixed finite element using lowest degree Raviart-Thomas spaces for parabolic equations. (English) Zbl 07511670 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 13th international conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13127, 489-497 (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65M15 65M12 35K05 PDF BibTeX XML Cite \textit{F. Benkhaldoun} and \textit{A. Bradji}, Lect. Notes Comput. Sci. 13127, 489--497 (2022; Zbl 07511670) Full Text: DOI OpenURL
Huang, Juntao; Liu, Yong; Liu, Yuan; Tao, Zhanjing; Cheng, Yingda A class of adaptive multiresolution ultra-weak discontinuous Galerkin methods for some nonlinear dispersive wave equations. (English) Zbl 07511038 SIAM J. Sci. Comput. 44, No. 2, A745-A769 (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65L06 65N30 65M12 65M15 65M50 35C08 35Q53 PDF BibTeX XML Cite \textit{J. Huang} et al., SIAM J. Sci. Comput. 44, No. 2, A745--A769 (2022; Zbl 07511038) Full Text: DOI OpenURL
Baricz, Árpád; Bisht, Nitin; Singh, Sanjeev; Vijesh, V. Antony Bounds for the generalized Marcum function of the second kind. (English) Zbl 07510922 Ramanujan J. 58, No. 1, 1-21 (2022). MSC: 33E20 33C10 94A13 94A05 26A48 PDF BibTeX XML Cite \textit{Á. Baricz} et al., Ramanujan J. 58, No. 1, 1--21 (2022; Zbl 07510922) Full Text: DOI OpenURL
Qian, Yanxia; Wang, Fei; Zhang, Yongchao; Han, Weimin A mixed discontinuous Galerkin method for an unsteady incompressible Darcy equation. (English) Zbl 07510753 Appl. Anal. 101, No. 4, 1176-1198 (2022). MSC: 65M60 65M06 65N30 65M15 76S05 49J40 35Q35 PDF BibTeX XML Cite \textit{Y. Qian} et al., Appl. Anal. 101, No. 4, 1176--1198 (2022; Zbl 07510753) Full Text: DOI OpenURL
Xi, Hongguang; Su, Jianzhong A harmonic function method for EEG source reconstruction. (English) Zbl 07510593 Electron Res. Arch. 30, No. 2, 492-514 (2022). MSC: 35R30 35Q61 65M32 PDF BibTeX XML Cite \textit{H. Xi} and \textit{J. Su}, Electron Res. Arch. 30, No. 2, 492--514 (2022; Zbl 07510593) Full Text: DOI OpenURL
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 07509160 Int. J. Numer. Anal. Model. 19, No. 1, 126-155 (2022). MSC: 35R35 65N15 65N30 PDF BibTeX XML Cite \textit{Y. Chen} et al., Int. J. Numer. Anal. Model. 19, No. 1, 126--155 (2022; Zbl 07509160) Full Text: Link OpenURL
Nepal, Surendra; Wondmagegne, Yosief; Muntean, Adrian Error estimates for semi-discrete finite element approximations for a moving boundary problem capturing the penetration of diffusants into rubber. (English) Zbl 07509159 Int. J. Numer. Anal. Model. 19, No. 1, 101-125 (2022). MSC: 65M15 65M20 65M60 35R37 PDF BibTeX XML Cite \textit{S. Nepal} et al., Int. J. Numer. Anal. Model. 19, No. 1, 101--125 (2022; Zbl 07509159) Full Text: Link OpenURL
Xu, Fei; Huang, Qiumei; Chen, Shuangshuang; Ma, Hongkun Adaptive multigrid method for eigenvalue problem. (English) Zbl 07509154 Int. J. Numer. Anal. Model. 19, No. 1, 1-18 (2022). MSC: 65F15 65N15 65N25 65N30 65N50 PDF BibTeX XML Cite \textit{F. Xu} et al., Int. J. Numer. Anal. Model. 19, No. 1, 1--18 (2022; Zbl 07509154) Full Text: Link OpenURL
Xu, Yuan; Zhang, Qiang Superconvergence analysis of the Runge-Kutta discontinuous Galerkin method with upwind-biased numerical flux for two-dimensional linear hyperbolic equation. (English) Zbl 07508617 Commun. Appl. Math. Comput. 4, No. 1, 319-352 (2022). MSC: 65M12 65M15 65M60 PDF BibTeX XML Cite \textit{Y. Xu} and \textit{Q. Zhang}, Commun. Appl. Math. Comput. 4, No. 1, 319--352 (2022; Zbl 07508617) Full Text: DOI OpenURL
Cesmelioglu, Aycil; Rhebergen, Sander A compatible embedded-hybridized discontinuous Galerkin method for the Stokes-Darcy-transport problem. (English) Zbl 07508616 Commun. Appl. Math. Comput. 4, No. 1, 293-318 (2022). MSC: 65N12 65N15 65N30 76D07 76S99 PDF BibTeX XML Cite \textit{A. Cesmelioglu} and \textit{S. Rhebergen}, Commun. Appl. Math. Comput. 4, No. 1, 293--318 (2022; Zbl 07508616) Full Text: DOI OpenURL
Wang, Haijin; Zhang, Qiang The direct discontinuous Galerkin methods with implicit-explicit Runge-Kutta time marching for linear convection-diffusion problems. (English) Zbl 07508615 Commun. Appl. Math. Comput. 4, No. 1, 271-292 (2022). MSC: 65M12 65M15 65M60 PDF BibTeX XML Cite \textit{H. Wang} and \textit{Q. Zhang}, Commun. Appl. Math. Comput. 4, No. 1, 271--292 (2022; Zbl 07508615) Full Text: DOI OpenURL
Tao, Qi; Xu, Yan; Li, Xiaozhou Negative norm estimates for arbitrary Lagrangian-Eulerian discontinuous Galerkin method for nonlinear hyperbolic equations. (English) Zbl 07508614 Commun. Appl. Math. Comput. 4, No. 1, 250-270 (2022). MSC: 65M12 65M15 65M60 PDF BibTeX XML Cite \textit{Q. Tao} et al., Commun. Appl. Math. Comput. 4, No. 1, 250--270 (2022; Zbl 07508614) Full Text: DOI OpenURL
Zhang, Hongjuan; Wu, Boying; Meng, Xiong A local discontinuous Galerkin method with generalized alternating fluxes for 2D nonlinear Schrödinger equations. (English) Zbl 07508608 Commun. Appl. Math. Comput. 4, No. 1, 84-107 (2022). MSC: 65M60 65M12 65M15 PDF BibTeX XML Cite \textit{H. Zhang} et al., Commun. Appl. Math. Comput. 4, No. 1, 84--107 (2022; Zbl 07508608) Full Text: DOI OpenURL
Millar, F.; Muga, I.; Rojas, S.; van der Zee, K. G. Projection in negative norms and the regularization of rough linear functionals. (English) Zbl 07507894 Numer. Math. 150, No. 4, 1087-1121 (2022). MSC: 65N12 65N15 65N22 65N30 65N50 PDF BibTeX XML Cite \textit{F. Millar} et al., Numer. Math. 150, No. 4, 1087--1121 (2022; Zbl 07507894) Full Text: DOI OpenURL
Ji, Haifeng; Wang, Feng; Chen, Jinru; Li, Zhilin A new parameter free partially penalized immersed finite element and the optimal convergence analysis. (English) Zbl 07507893 Numer. Math. 150, No. 4, 1035-1086 (2022). MSC: 65N15 65N30 35R05 PDF BibTeX XML Cite \textit{H. Ji} et al., Numer. Math. 150, No. 4, 1035--1086 (2022; Zbl 07507893) Full Text: DOI OpenURL
Li, Peijun; Yuan, Xiaokai An adaptive finite element DtN method for the elastic wave scattering problem. (English) Zbl 07507892 Numer. Math. 150, No. 4, 993-1033 (2022). MSC: 65N12 65N15 65N30 78A45 PDF BibTeX XML Cite \textit{P. Li} and \textit{X. Yuan}, Numer. Math. 150, No. 4, 993--1033 (2022; Zbl 07507892) Full Text: DOI OpenURL
Carstensen, C.; Nataraj, Neela; Pani, Amiya K. Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. (English) Zbl 07507891 Numer. Math. 150, No. 4, 975-992 (2022). MSC: 65N12 65N15 65N30 PDF BibTeX XML Cite \textit{C. Carstensen} et al., Numer. Math. 150, No. 4, 975--992 (2022; Zbl 07507891) Full Text: DOI OpenURL
Li, Fei; Yi, Nianyu Analysis of a goal-oriented adaptive two-grid finite-element algorithm for semilinear elliptic problems. (English) Zbl 07507661 Comput. Appl. Math. 41, No. 3, Paper No. 108, 29 p. (2022). MSC: 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{F. Li} and \textit{N. Yi}, Comput. Appl. Math. 41, No. 3, Paper No. 108, 29 p. (2022; Zbl 07507661) Full Text: DOI OpenURL
Ge, Liang; Sun, Tongjun An adaptive hp-version stochastic Galerkin method for constrained optimal control problem governed by random reaction diffusion equations. (English) Zbl 07507657 Comput. Appl. Math. 41, No. 3, Paper No. 104, 30 p. (2022). MSC: 65N15 65N30 65N50 65C20 PDF BibTeX XML Cite \textit{L. Ge} and \textit{T. Sun}, Comput. Appl. Math. 41, No. 3, Paper No. 104, 30 p. (2022; Zbl 07507657) Full Text: DOI OpenURL
He, Xiaoxiao; Song, Fei; Deng, Weibing A stabilized nonconforming Nitsche’s extended finite element method for Stokes interface problems. (English) Zbl 07506996 Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2849-2871 (2022). MSC: 65N30 65N12 65N15 76D07 76M10 PDF BibTeX XML Cite \textit{X. He} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2849--2871 (2022; Zbl 07506996) Full Text: DOI OpenURL
Gómez, Sergio; Moiola, Andrea A space-time Trefftz discontinuous Galerkin method for the linear Schrödinger equation. (English) Zbl 07506905 SIAM J. Numer. Anal. 60, No. 2, 688-714 (2022). MSC: 65M60 65M12 65M15 65F05 78M10 35Q41 PDF BibTeX XML Cite \textit{S. Gómez} and \textit{A. Moiola}, SIAM J. Numer. Anal. 60, No. 2, 688--714 (2022; Zbl 07506905) Full Text: DOI OpenURL
Wu, Yifei; Yao, Fangyan A first-order Fourier integrator for the nonlinear Schrödinger equation on \(\mathbb{T}\) without loss of regularity. (English) Zbl 07506848 Math. Comput. 91, No. 335, 1213-1235 (2022). MSC: 65M12 65M15 65T50 35Q55 35Q41 PDF BibTeX XML Cite \textit{Y. Wu} and \textit{F. Yao}, Math. Comput. 91, No. 335, 1213--1235 (2022; Zbl 07506848) Full Text: DOI OpenURL
Khan, Arbaz; Zanotti, Pietro A nonsymmetric approach and a quasi-optimal and robust discretization for the Biot’s model. (English) Zbl 07506846 Math. Comput. 91, No. 335, 1143-1170 (2022). MSC: 65M60 65M06 65N30 65N12 65N15 76S05 76M10 74F10 74B10 35Q35 PDF BibTeX XML Cite \textit{A. Khan} and \textit{P. Zanotti}, Math. Comput. 91, No. 335, 1143--1170 (2022; Zbl 07506846) Full Text: DOI OpenURL
Hong, Qingguo; Li, Yuwen; Xu, Jinchao An extended Galerkin analysis in finite element exterior calculus. (English) Zbl 07506844 Math. Comput. 91, No. 335, 1077-1106 (2022). MSC: 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{Q. Hong} et al., Math. Comput. 91, No. 335, 1077--1106 (2022; Zbl 07506844) Full Text: DOI OpenURL
Lie, Han Cheng; Stahn, Martin; Sullivan, T. J. Randomised one-step time integration methods for deterministic operator differential equations. (English) Zbl 07506745 Calcolo 59, No. 1, Paper No. 13, 33 p. (2022). MSC: 65M15 65M75 37H10 PDF BibTeX XML Cite \textit{H. C. Lie} et al., Calcolo 59, No. 1, Paper No. 13, 33 p. (2022; Zbl 07506745) Full Text: DOI OpenURL
Liu, Jun; Wang, Xiang-Sheng; Wu, Shu-Lin; Zhou, Tao A well-conditioned direct pint algorithm for first- and second-order evolutionary equations. (English) Zbl 07506441 Adv. Comput. Math. 48, No. 3, Paper No. 16, 29 p. (2022). MSC: 65M55 65M12 65M15 65Y05 PDF BibTeX XML Cite \textit{J. Liu} et al., Adv. Comput. Math. 48, No. 3, Paper No. 16, 29 p. (2022; Zbl 07506441) Full Text: DOI OpenURL
Zeng, Yihui; Luo, Zhendong The reduced-dimension technique for the unknown solution coefficient vectors in the Crank-Nicolson finite element method for the Sobolev equation. (English) Zbl 07506395 J. Math. Anal. Appl. 513, No. 1, Article ID 126207, 13 p. (2022). MSC: 65M15 65M12 65M06 65M60 65M99 PDF BibTeX XML Cite \textit{Y. Zeng} and \textit{Z. Luo}, J. Math. Anal. Appl. 513, No. 1, Article ID 126207, 13 p. (2022; Zbl 07506395) Full Text: DOI OpenURL
Gunes, B.; Duru, Hakki A second-order difference scheme for the singularly perturbed Sobolev problems with third type boundary conditions on Bakhvalov mesh. (English) Zbl 07505575 J. Difference Equ. Appl. 28, No. 3, 385-405 (2022). MSC: 65M06 65N06 65M12 65M15 35B25 35B40 PDF BibTeX XML Cite \textit{B. Gunes} and \textit{H. Duru}, J. Difference Equ. Appl. 28, No. 3, 385--405 (2022; Zbl 07505575) Full Text: DOI OpenURL
Bazarra, N.; Fernández, J. R.; Quintanilla, R. Numerical approximation of some poro-elastic problems with MGT-type dissipation mechanisms. (English) Zbl 07505515 Appl. Numer. Math. 177, 123-136 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 35B45 74B10 74S05 35Q74 PDF BibTeX XML Cite \textit{N. Bazarra} et al., Appl. Numer. Math. 177, 123--136 (2022; Zbl 07505515) Full Text: DOI OpenURL
Zhang, Tao; Li, Xiaolin; Xu, Liwei Error analysis of an implicit Galerkin meshfree scheme for general second-order parabolic problems. (English) Zbl 07505511 Appl. Numer. Math. 177, 58-78 (2022). MSC: 65M60 65M15 PDF BibTeX XML Cite \textit{T. Zhang} et al., Appl. Numer. Math. 177, 58--78 (2022; Zbl 07505511) Full Text: DOI OpenURL
Buffa, Annalisa; Chanon, Ondine; Vázquez, Rafael Analysis-aware defeaturing: problem setting and a posteriori estimation. (English) Zbl 1483.65197 Math. Models Methods Appl. Sci. 32, No. 2, 359-402 (2022). MSC: 65N50 65N30 65N15 PDF BibTeX XML Cite \textit{A. Buffa} et al., Math. Models Methods Appl. Sci. 32, No. 2, 359--402 (2022; Zbl 1483.65197) Full Text: DOI OpenURL
Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin Error estimates of local energy regularization for the logarithmic Schrödinger equation. (English) Zbl 1483.35168 Math. Models Methods Appl. Sci. 32, No. 1, 101-136 (2022). MSC: 35Q40 35Q55 65M15 81Q05 PDF BibTeX XML Cite \textit{W. Bao} et al., Math. Models Methods Appl. Sci. 32, No. 1, 101--136 (2022; Zbl 1483.35168) Full Text: DOI OpenURL
Khoa, Vo Anh; Dao, Manh-Khang Convergence analysis of a variational quasi-reversibility approach for an inverse hyperbolic heat conduction problem. (English) Zbl 07503658 J. Inverse Ill-Posed Probl. 30, No. 2, 251-264 (2022). MSC: 65L70 65L09 65L60 PDF BibTeX XML Cite \textit{V. A. Khoa} and \textit{M.-K. Dao}, J. Inverse Ill-Posed Probl. 30, No. 2, 251--264 (2022; Zbl 07503658) Full Text: DOI OpenURL
Ye, Xiu; Zhang, Shangyou; Zhu, Peng Development of a LDG method on polytopal mesh with optimal order of convergence. (English) Zbl 07503428 J. Comput. Appl. Math. 410, Article ID 114179, 10 p. (2022). MSC: 65N15 65N30 PDF BibTeX XML Cite \textit{X. Ye} et al., J. Comput. Appl. Math. 410, Article ID 114179, 10 p. (2022; Zbl 07503428) Full Text: DOI OpenURL
Meng, Jian; Wang, Xue; Bu, Linlin; Mei, Liquan A lowest-order free-stabilization virtual element method for the Laplacian eigenvalue problem. (English) Zbl 07503421 J. Comput. Appl. Math. 410, Article ID 114013, 11 p. (2022). MSC: 65N25 65N30 65N15 PDF BibTeX XML Cite \textit{J. Meng} et al., J. Comput. Appl. Math. 410, Article ID 114013, 11 p. (2022; Zbl 07503421) Full Text: DOI OpenURL
Camaño, Jessika; Caucao, Sergio; Oyarzúa, Ricardo; Villa-Fuentes, Segundo A posteriori error analysis of a momentum conservative Banach spaces based mixed-FEM for the Navier-Stokes problem. (English) Zbl 07501623 Appl. Numer. Math. 176, 134-158 (2022). MSC: 65N30 65N15 76D05 PDF BibTeX XML Cite \textit{J. Camaño} et al., Appl. Numer. Math. 176, 134--158 (2022; Zbl 07501623) Full Text: DOI OpenURL
Wang, Chen-Ye; Jiang, Yao-Lin; Miao, Zhen Time domain decomposition of parabolic control problems based on discontinuous Galerkin semi-discretization. (English) Zbl 07501622 Appl. Numer. Math. 176, 118-133 (2022). MSC: 49M41 49M05 65M15 65M60 PDF BibTeX XML Cite \textit{C.-Y. Wang} et al., Appl. Numer. Math. 176, 118--133 (2022; Zbl 07501622) Full Text: DOI OpenURL
Akyildiz, F. Talay; Alshammari, Fehaid A new analysis of Galerkin Legendre spectral methods for coupled hyperbolic/parabolic system arising in unsteady MHD flow of Maxwell fluid and numerical simulation. (English) Zbl 07501620 Appl. Numer. Math. 176, 83-103 (2022). MSC: 76M22 76W05 76A10 65M20 65M15 65M12 PDF BibTeX XML Cite \textit{F. T. Akyildiz} and \textit{F. Alshammari}, Appl. Numer. Math. 176, 83--103 (2022; Zbl 07501620) Full Text: DOI OpenURL
Bi, Yuxin; Shan, Li; Zhang, Haicheng New decoupled method for the evolutionary dual-porosity-Stokes model with Beavers-Joseph interface conditions. (English) Zbl 07501612 Appl. Numer. Math. 175, 73-97 (2022). MSC: 65M60 65M12 65M15 76D07 PDF BibTeX XML Cite \textit{Y. Bi} et al., Appl. Numer. Math. 175, 73--97 (2022; Zbl 07501612) Full Text: DOI OpenURL
Erbay, H. A.; Erbay, S.; Erkip, A. A semi-discrete numerical scheme for nonlocally regularized KdV-type equations. (English) Zbl 07501609 Appl. Numer. Math. 175, 29-39 (2022). MSC: 65M06 65M20 65M15 PDF BibTeX XML Cite \textit{H. A. Erbay} et al., Appl. Numer. Math. 175, 29--39 (2022; Zbl 07501609) Full Text: DOI OpenURL
Hochbruck, Marlis; Köhler, Jonas Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems. (English) Zbl 07501302 Numer. Math. 150, No. 3, 893-927 (2022). MSC: 65M12 65M15 65M60 PDF BibTeX XML Cite \textit{M. Hochbruck} and \textit{J. Köhler}, Numer. Math. 150, No. 3, 893--927 (2022; Zbl 07501302) Full Text: DOI OpenURL
Akrivis, Georgios; Makridakis, Charalambos G. A posteriori error estimates for Radau IIA methods via maximal parabolic regularity. (English) Zbl 07501297 Numer. Math. 150, No. 3, 691-717 (2022). MSC: 65M15 65M12 PDF BibTeX XML Cite \textit{G. Akrivis} and \textit{C. G. Makridakis}, Numer. Math. 150, No. 3, 691--717 (2022; Zbl 07501297) Full Text: DOI OpenURL
Campo, Marco; Copetti, Maria I. M.; Fernández, José R.; Quintanilla, Ramón On existence and numerical approximation in phase-lag thermoelasticity with two temperatures. (English) Zbl 07501093 Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2221-2245 (2022). MSC: 35Q74 74H10 80A20 65M15 65M60 74F05 PDF BibTeX XML Cite \textit{M. Campo} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2221--2245 (2022; Zbl 07501093) Full Text: DOI OpenURL
Peng, Hui; Zhai, Qilong Weak Galerkin method for the Stokes equations with damping. (English) Zbl 07501077 Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 1853-1875 (2022). MSC: 65N30 65N15 65N12 35B45 35J50 76D07 35Q35 PDF BibTeX XML Cite \textit{H. Peng} and \textit{Q. Zhai}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 1853--1875 (2022; Zbl 07501077) Full Text: DOI OpenURL
Byrnes, Kevin M. Isomorphism of maximum length circuit codes. (English) Zbl 07500606 Des. Codes Cryptography 90, No. 4, 835-850 (2022). MSC: 94B25 94B65 PDF BibTeX XML Cite \textit{K. M. Byrnes}, Des. Codes Cryptography 90, No. 4, 835--850 (2022; Zbl 07500606) Full Text: DOI OpenURL
Kawecki, Ellya L.; Sprekeler, Timo Discontinuous Galerkin and \(C^0\)-IP finite element approximation of periodic Hamilton-Jacobi-Bellman-Isaacs problems with application to numerical homogenization. (English) Zbl 07500589 ESAIM, Math. Model. Numer. Anal. 56, No. 2, 679-704 (2022). MSC: 65-XX 35B27 35J60 65N12 65N15 65N30 PDF BibTeX XML Cite \textit{E. L. Kawecki} and \textit{T. Sprekeler}, ESAIM, Math. Model. Numer. Anal. 56, No. 2, 679--704 (2022; Zbl 07500589) Full Text: DOI OpenURL
Deckelnick, Klaus; Styles, Vanessa Finite element error analysis for a system coupling surface evolution to diffusion on the surface. (English) Zbl 07500328 Interfaces Free Bound. 24, No. 1, 63-93 (2022). MSC: 65M60 65M06 65N30 65M15 35R02 35R37 PDF BibTeX XML Cite \textit{K. Deckelnick} and \textit{V. Styles}, Interfaces Free Bound. 24, No. 1, 63--93 (2022; Zbl 07500328) Full Text: DOI OpenURL
Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen A spectral approach for time-fractional diffusion and subdiffusion equations in a large interval. (English) Zbl 1483.65163 Math. Model. Anal. 27, No. 1, 19-40 (2022). MSC: 65M70 35R11 65M15 PDF BibTeX XML Cite \textit{H. Dehestani} et al., Math. Model. Anal. 27, No. 1, 19--40 (2022; Zbl 1483.65163) Full Text: DOI OpenURL
Maeda, Masataka; Soga, Kohei More on convergence of Chorin’s projection method for incompressible Navier-Stokes equations. (English) Zbl 07496932 J. Math. Fluid Mech. 24, No. 2, Paper No. 41, 31 p. (2022). MSC: 35Q30 76D05 35D30 35B10 65M06 65M15 PDF BibTeX XML Cite \textit{M. Maeda} and \textit{K. Soga}, J. Math. Fluid Mech. 24, No. 2, Paper No. 41, 31 p. (2022; Zbl 07496932) Full Text: DOI OpenURL
Chaudhary, Sudhakar; Srivastava, Vimal Semi-discrete finite-element approximation of nonlocal hyperbolic problem. (English) Zbl 07495652 Appl. Anal. 101, No. 2, 479-496 (2022). MSC: 65N12 65N15 65N22 35N30 PDF BibTeX XML Cite \textit{S. Chaudhary} and \textit{V. Srivastava}, Appl. Anal. 101, No. 2, 479--496 (2022; Zbl 07495652) Full Text: DOI OpenURL
Kumar, Devendra A uniformly convergent scheme for two-parameter problems having layer behaviour. (English) Zbl 07494139 Int. J. Comput. Math. 99, No. 3, 553-574 (2022). MSC: 65L10 65L11 65L20 65L50 65L70 PDF BibTeX XML Cite \textit{D. Kumar}, Int. J. Comput. Math. 99, No. 3, 553--574 (2022; Zbl 07494139) Full Text: DOI OpenURL
Liu, Yujie; Yang, Chao VPVnet: a velocity-pressure-vorticity neural network method for the Stokes’ equations under reduced regularity. (English) Zbl 07493177 Commun. Comput. Phys. 31, No. 3, 739-770 (2022). MSC: 76D07 76M25 65N12 65N15 35B45 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{C. Yang}, Commun. Comput. Phys. 31, No. 3, 739--770 (2022; Zbl 07493177) Full Text: DOI arXiv OpenURL
Chen, Yifan; Hou, Thomas Y. Multiscale elliptic PDE upscaling and function approximation via subsampled data. (English) Zbl 1482.65212 Multiscale Model. Simul. 20, No. 1, 188-219 (2022). MSC: 65N30 65D07 65N15 35A35 35J25 65D05 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{T. Y. Hou}, Multiscale Model. Simul. 20, No. 1, 188--219 (2022; Zbl 1482.65212) Full Text: DOI arXiv OpenURL
Leitenmaier, Lena; Runborg, Olof Upscaling errors in heterogeneous multiscale methods for the Landau-Lifshitz equation. (English) Zbl 1482.65168 Multiscale Model. Simul. 20, No. 1, 1-35 (2022). MSC: 65M15 35B27 78M40 PDF BibTeX XML Cite \textit{L. Leitenmaier} and \textit{O. Runborg}, Multiscale Model. Simul. 20, No. 1, 1--35 (2022; Zbl 1482.65168) Full Text: DOI arXiv OpenURL
Mbroh, N. A.; Guiem, R.; Noutchie, S. C. Oukouomi A second order numerical scheme for a singularly perturbed convection diffusion problem with a non-local boundary condition. (English) Zbl 07490581 J. Anal. Appl. 20, No. 1, 1-20 (2022). MSC: 65-XX 35K20 65M06 65M12 65M15 93C70 PDF BibTeX XML Cite \textit{N. A. Mbroh} et al., J. Anal. Appl. 20, No. 1, 1--20 (2022; Zbl 07490581) Full Text: Link OpenURL
Sumit; Kumar, Shashikant; Kumar, Sunil A high order convergent adaptive numerical method for singularly perturbed nonlinear systems. (English) Zbl 07490251 Comput. Appl. Math. 41, No. 2, Paper No. 83, 16 p. (2022). MSC: 65L05 65L11 65L12 65L70 PDF BibTeX XML Cite \textit{Sumit} et al., Comput. Appl. Math. 41, No. 2, Paper No. 83, 16 p. (2022; Zbl 07490251) Full Text: DOI OpenURL
Bazarra, Noelia; Fernández, José R.; Quintanilla, Ramón On the numerical approximation of a problem involving a mixture of a MGT viscous material and an elastic solid. (English) Zbl 07490244 Comput. Appl. Math. 41, No. 2, Paper No. 76, 18 p. (2022). MSC: 74D05 74F20 65M60 65M12 65M15 PDF BibTeX XML Cite \textit{N. Bazarra} et al., Comput. Appl. Math. 41, No. 2, Paper No. 76, 18 p. (2022; Zbl 07490244) Full Text: DOI OpenURL
Tian, Lulu; Guo, Hui; Jia, Rui; Yang, Yang Stability analysis and error estimates of fully-discrete local discontinuous Galerkin methods for simulating wormhole propagation with Darcy-Forchheimer model. (English) Zbl 07489831 J. Comput. Appl. Math. 409, Article ID 114158, 25 p. (2022). MSC: 65M15 65M60 PDF BibTeX XML Cite \textit{L. Tian} et al., J. Comput. Appl. Math. 409, Article ID 114158, 25 p. (2022; Zbl 07489831) Full Text: DOI OpenURL
Hegarty, A. F.; O’Riordan, E. A numerical algorithm to computationally solve the hemker problem using Shishkin meshes. (English) Zbl 07489830 J. Comput. Appl. Math. 409, Article ID 114155, 17 p. (2022). MSC: 65N12 65N15 65N06 PDF BibTeX XML Cite \textit{A. F. Hegarty} and \textit{E. O'Riordan}, J. Comput. Appl. Math. 409, Article ID 114155, 17 p. (2022; Zbl 07489830) Full Text: DOI arXiv OpenURL
Gatica, Gabriel N.; Gómez-Vargas, Bryan; Ruiz-Baier, Ricardo A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems. (English) Zbl 07489825 J. Comput. Appl. Math. 409, Article ID 114144, 23 p. (2022). MSC: 65N30 65N12 65N15 65N50 76R05 76D07 74B10 PDF BibTeX XML Cite \textit{G. N. Gatica} et al., J. Comput. Appl. Math. 409, Article ID 114144, 23 p. (2022; Zbl 07489825) Full Text: DOI OpenURL
Reddy, G. Murali Mohan Fully discrete a posteriori error estimates for parabolic integro-differential equations using the two-step backward differentiation formula. (English) Zbl 07489368 BIT 62, No. 1, 251-277 (2022). MSC: 65M15 65M60 PDF BibTeX XML Cite \textit{G. M. M. Reddy}, BIT 62, No. 1, 251--277 (2022; Zbl 07489368) Full Text: DOI OpenURL
Gaddam, Sharat; Gudi, Thirupathi; Porwal, Kamana Two new approaches for solving elliptic obstacle problems using discontinuous Galerkin methods. (English) Zbl 07489362 BIT 62, No. 1, 89-124 (2022). MSC: 65N30 65N15 49J40 PDF BibTeX XML Cite \textit{S. Gaddam} et al., BIT 62, No. 1, 89--124 (2022; Zbl 07489362) Full Text: DOI OpenURL