Guan, Xiaofei; Jiang, Lijian; Wang, Yajun Regularized coupling multiscale method for thermomechanical coupled problems. (English) Zbl 07819076 J. Comput. Phys. 499, Article ID 112737, 22 p. (2024). MSC: 65Nxx 74Sxx 74Fxx PDFBibTeX XMLCite \textit{X. Guan} et al., J. Comput. Phys. 499, Article ID 112737, 22 p. (2024; Zbl 07819076) Full Text: DOI arXiv
Hofmann, S.; Borzì, A. Pointwise error estimates of numerical solutions to linear quadratic optimal control problems. (English) Zbl 07818686 J. Sci. Comput. 99, No. 1, Paper No. 21, 44 p. (2024). MSC: 34B05 34H05 49M05 49M25 49N10 65B05 65G99 65P10 PDFBibTeX XMLCite \textit{S. Hofmann} and \textit{A. Borzì}, J. Sci. Comput. 99, No. 1, Paper No. 21, 44 p. (2024; Zbl 07818686) Full Text: DOI OA License
Jules, Djoko Kamdem; Hagos, Gidey; Jonas, Koko; Toni, Sayah Discontinuous Galerkin methods for Stokes equations under power law slip boundary condition: a priori analysis. (English) Zbl 07814907 Calcolo 61, No. 1, Paper No. 13, 35 p. (2024). MSC: 65N30 65N12 65N15 76D07 76D10 76A05 35B45 41A25 35Q35 PDFBibTeX XMLCite \textit{D. K. Jules} et al., Calcolo 61, No. 1, Paper No. 13, 35 p. (2024; Zbl 07814907) Full Text: DOI
Dassi, Franco; Mora, David; Reales, Carlos; Velásquez, Iván Mixed variational formulations of virtual elements for the polyharmonic operator \((-\Delta)^n\). (English) Zbl 07813460 Comput. Math. Appl. 158, 150-166 (2024). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{F. Dassi} et al., Comput. Math. Appl. 158, 150--166 (2024; Zbl 07813460) Full Text: DOI
Manohar, Ram Error analysis for finite element approximation of parabolic Neumann boundary control problems. (English) Zbl 07813457 Comput. Math. Appl. 158, 102-117 (2024). MSC: 65-XX 93-XX PDFBibTeX XMLCite \textit{R. Manohar}, Comput. Math. Appl. 158, 102--117 (2024; Zbl 07813457) Full Text: DOI
Li, Yuan Error analysis of the linearized Crank-Nicolson FEM for the incompressible vector potential magnetohydrodynamic system. (English) Zbl 07813436 Comput. Math. Appl. 157, 65-73 (2024). MSC: 76-XX 78-XX PDFBibTeX XMLCite \textit{Y. Li}, Comput. Math. Appl. 157, 65--73 (2024; Zbl 07813436) Full Text: DOI
Zhang, Xinyue; Pan, Liang; Cao, Waixiang An oscillation-free spectral volume method for hyperbolic conservation laws. (English) Zbl 07812562 J. Sci. Comput. 99, No. 1, Paper No. 8, 26 p. (2024). MSC: 65M08 65M60 65M70 65M06 65L06 65N08 65N30 65N35 65M12 65M15 35L65 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Sci. Comput. 99, No. 1, Paper No. 8, 26 p. (2024; Zbl 07812562) Full Text: DOI arXiv
Cancès, Eric; Hassan, Muhammad; Vidal, Laurent Modified-operator method for the calculation of band diagrams of crystalline materials. (English) Zbl 07810330 Math. Comput. 93, No. 347, 1203-1245 (2024). MSC: 65N25 65N30 65F15 65D30 65N50 65N12 65N15 65Z05 35B45 78A60 74E15 74F15 82D80 35Q55 PDFBibTeX XMLCite \textit{E. Cancès} et al., Math. Comput. 93, No. 347, 1203--1245 (2024; Zbl 07810330) Full Text: DOI arXiv
Mitra, K.; Vohralík, M. A posteriori error estimates for the Richards equation. (English) Zbl 07810327 Math. Comput. 93, No. 347, 1053-1096 (2024). MSC: 65M60 65M06 65N30 65N50 65M15 76S05 74F10 35Q35 PDFBibTeX XMLCite \textit{K. Mitra} and \textit{M. Vohralík}, Math. Comput. 93, No. 347, 1053--1096 (2024; Zbl 07810327) Full Text: DOI arXiv
Monsuur, Harald; Stevenson, Rob; Storn, Johannes Minimal residual methods in negative or fractional Sobolev norms. (English) Zbl 07810326 Math. Comput. 93, No. 347, 1027-1052 (2024). MSC: 65F10 35B35 35B45 65N30 PDFBibTeX XMLCite \textit{H. Monsuur} et al., Math. Comput. 93, No. 347, 1027--1052 (2024; Zbl 07810326) Full Text: DOI arXiv
Verfürth, Barbara Numerical multiscale methods for waves in high-contrast media. (English) Zbl 07808391 Jahresber. Dtsch. Math.-Ver. 126, No. 1, 37-65 (2024). MSC: 65N30 78A48 78M40 65N55 35B27 35B34 35B45 65N15 35J05 78A25 78M10 35Q60 PDFBibTeX XMLCite \textit{B. Verfürth}, Jahresber. Dtsch. Math.-Ver. 126, No. 1, 37--65 (2024; Zbl 07808391) Full Text: DOI OA License
Shakya, Pratibha Error analysis for the finite element approximations of Dirichlet parabolic boundary control problem with measure data. (English) Zbl 07808104 J. Math. Anal. Appl. 534, No. 2, Article ID 128109, 29 p. (2024). MSC: 65M60 65M06 65N30 65K10 93C20 65M15 65M12 35B45 35B65 35A01 35A02 35R06 PDFBibTeX XMLCite \textit{P. Shakya}, J. Math. Anal. Appl. 534, No. 2, Article ID 128109, 29 p. (2024; Zbl 07808104) Full Text: DOI
Ku, JaEun; Stynes, Martin A posteriori error estimates for a dual finite element method for singularly perturbed reaction-diffusion problems. (English) Zbl 07807776 BIT 64, No. 1, Paper No. 7, 24 p. (2024). MSC: 65N30 65N15 35B25 35J15 PDFBibTeX XMLCite \textit{J. Ku} and \textit{M. Stynes}, BIT 64, No. 1, Paper No. 7, 24 p. (2024; Zbl 07807776) Full Text: DOI
Song, Junpeng; Rui, Hongxing Reduced-order finite element approximation based on POD for the parabolic optimal control problem. (English) Zbl 07806999 Numer. Algorithms 95, No. 3, 1189-1211 (2024). MSC: 65L60 65M60 65N30 PDFBibTeX XMLCite \textit{J. Song} and \textit{H. Rui}, Numer. Algorithms 95, No. 3, 1189--1211 (2024; Zbl 07806999) Full Text: DOI
Li, Meng; Zhao, Jikun; Chen, Shaochun Unconditional error analysis of VEMs for a generalized nonlinear Schrödinger equation. (English) Zbl 07806682 J. Comput. Math. 42, No. 2, 500-543 (2024). MSC: 65N35 65N12 76D07 65N15 PDFBibTeX XMLCite \textit{M. Li} et al., J. Comput. Math. 42, No. 2, 500--543 (2024; Zbl 07806682) Full Text: DOI
Löscher, Richard; Steinbach, Olaf Space-time finite element methods for distributed optimal control of the wave equation. (English) Zbl 07805450 SIAM J. Numer. Anal. 62, No. 1, 452-475 (2024). MSC: 49M41 35L05 65M15 65M60 PDFBibTeX XMLCite \textit{R. Löscher} and \textit{O. Steinbach}, SIAM J. Numer. Anal. 62, No. 1, 452--475 (2024; Zbl 07805450) Full Text: DOI arXiv
Chaumont-Frelet, Théophile; Vega, Patrick Frequency-explicit a posteriori error estimates for discontinuous Galerkin discretizations of Maxwell’s equations. (English) Zbl 07805444 SIAM J. Numer. Anal. 62, No. 1, 400-421 (2024). MSC: 65N30 65N15 35B65 78A25 78M10 35Q61 PDFBibTeX XMLCite \textit{T. Chaumont-Frelet} and \textit{P. Vega}, SIAM J. Numer. Anal. 62, No. 1, 400--421 (2024; Zbl 07805444) Full Text: DOI arXiv
Mao, Shipeng; Sun, Jiaao; Xue, Wendong Unconditional convergence and error estimates of a fully discrete finite element method for the micropolar Navier-Stokes equations. (English) Zbl 07803023 J. Comput. Math. 42, No. 1, 71-110 (2024). MSC: 76M10 65M12 65M15 65M60 PDFBibTeX XMLCite \textit{S. Mao} et al., J. Comput. Math. 42, No. 1, 71--110 (2024; Zbl 07803023) Full Text: DOI
Freese, Philip; Hauck, Moritz; Keil, Tim; Peterseim, Daniel A super-localized generalized finite element method. (English) Zbl 07802486 Numer. Math. 156, No. 1, 205-235 (2024). MSC: 65N30 65N12 65N15 35J15 41A25 35B45 PDFBibTeX XMLCite \textit{P. Freese} et al., Numer. Math. 156, No. 1, 205--235 (2024; Zbl 07802486) Full Text: DOI arXiv OA License
Bir, Bikram; Goswami, Deepjyoti; Pani, Amiya K. Optimal error estimates of the penalty finite element method for the unsteady Navier-Stokes equations with nonsmooth initial data. (English) Zbl 07802470 J. Sci. Comput. 98, No. 2, Paper No. 51, 42 p. (2024). MSC: 65M60 65M06 65N30 65M15 76D05 76M10 76M20 35Q30 PDFBibTeX XMLCite \textit{B. Bir} et al., J. Sci. Comput. 98, No. 2, Paper No. 51, 42 p. (2024; Zbl 07802470) Full Text: DOI arXiv
Zhai, Shuying; Weng, Zhifeng; Mo, Yuchang; Feng, Xinlong Energy dissipation and maximum bound principle preserving scheme for solving a nonlocal ternary Allen-Cahn model. (English) Zbl 07801619 Comput. Math. Appl. 155, 150-164 (2024). MSC: 65-XX 81-XX PDFBibTeX XMLCite \textit{S. Zhai} et al., Comput. Math. Appl. 155, 150--164 (2024; Zbl 07801619) Full Text: DOI
Sun, Yongwang; Zhao, Weidong; Zhao, Wenju A generalized finite element \(\theta\)-scheme for backward stochastic partial differential equations and its error estimates. (English) Zbl 07799050 ESAIM, Math. Model. Numer. Anal. 58, No. 1, 23-46 (2024). MSC: 65M60 65C30 65M06 65N30 65M12 65M15 65Y05 60H15 60H35 60J65 35R60 PDFBibTeX XMLCite \textit{Y. Sun} et al., ESAIM, Math. Model. Numer. Anal. 58, No. 1, 23--46 (2024; Zbl 07799050) Full Text: DOI
Yuan, Long; Hu, Qiya A PWDG method for the Maxwell system in anisotropic media with piecewise constant coefficient matrix. (English) Zbl 07799049 ESAIM, Math. Model. Numer. Anal. 58, No. 1, 1-22 (2024). MSC: 65N30 65N55 65N50 65N12 65N15 78A40 78M10 35Q61 PDFBibTeX XMLCite \textit{L. Yuan} and \textit{Q. Hu}, ESAIM, Math. Model. Numer. Anal. 58, No. 1, 1--22 (2024; Zbl 07799049) Full Text: DOI
Li, Yaping; Zhao, Weidong; Zhao, Wenju Spatio-temporal scalar auxiliary variable approach for the nonlinear convection-diffusion equation with discontinuous Galerkin method. (English) Zbl 07798413 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23061, 29 p. (2024). MSC: 65M60 65M15 35Q35 76M10 PDFBibTeX XMLCite \textit{Y. Li} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23061, 29 p. (2024; Zbl 07798413) Full Text: DOI
Yang, Huaijun; Jia, Xu Superconvergence analysis of the bilinear-constant scheme for two-dimensional incompressible convective Brinkman-Forchheimer equations. (English) Zbl 07798412 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23060, 20 p. (2024). MSC: 65N30 65M60 76M10 PDFBibTeX XMLCite \textit{H. Yang} and \textit{X. Jia}, Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23060, 20 p. (2024; Zbl 07798412) Full Text: DOI
Gu, Huipeng; Cai, Mingchao; Li, Jingzhi; Ju, Guoliang A priori error estimates of two monolithic schemes for Biot’s consolidation model. (English) Zbl 07798411 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23059, 22 p. (2024). MSC: 65M60 65N30 PDFBibTeX XMLCite \textit{H. Gu} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23059, 22 p. (2024; Zbl 07798411) Full Text: DOI arXiv
Lepe, Felipe; Mora, David; Vellojin, Jesus Discontinuous Galerkin methods for the acoustic vibration problem. (English) Zbl 07797203 J. Comput. Appl. Math. 441, Article ID 115700, 21 p. (2024). MSC: 65N25 65N30 65N12 65N15 76Q05 76B03 70J30 76M10 35A15 35Q35 PDFBibTeX XMLCite \textit{F. Lepe} et al., J. Comput. Appl. Math. 441, Article ID 115700, 21 p. (2024; Zbl 07797203) Full Text: DOI arXiv
Zhang, Jing; Rui, Hongxing A coupling of Galerkin and mixed finite element methods for the quasi-static thermo-poroelasticity with nonlinear convective transport. (English) Zbl 07797186 J. Comput. Appl. Math. 441, Article ID 115672, 17 p. (2024). MSC: 65-XX 35M10 65M12 65M60 74F05 74F10 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{H. Rui}, J. Comput. Appl. Math. 441, Article ID 115672, 17 p. (2024; Zbl 07797186) Full Text: DOI
Khenfar, Sokina; Nicaise, Serge; Merabet, Ismail On the finite element approximation of the obstacle problem of a Naghdi shell. (English) Zbl 07797184 J. Comput. Appl. Math. 441, Article ID 115670, 26 p. (2024). MSC: 65N30 65N12 65F10 49J40 74K25 74M15 35A23 35A01 35A02 35B45 35Q74 PDFBibTeX XMLCite \textit{S. Khenfar} et al., J. Comput. Appl. Math. 441, Article ID 115670, 26 p. (2024; Zbl 07797184) Full Text: DOI
Weng, Zhifeng; Zhai, Shuying; Dai, Weizhong; Yang, Yanfang; Mo, Yuchang Stability and error estimates of Strang splitting method for the nonlocal ternary conservative Allen-Cahn model. (English) Zbl 07797182 J. Comput. Appl. Math. 441, Article ID 115668, 15 p. (2024). MSC: 65M70 65M06 65N35 65M12 65M15 35R09 35Q56 PDFBibTeX XMLCite \textit{Z. Weng} et al., J. Comput. Appl. Math. 441, Article ID 115668, 15 p. (2024; Zbl 07797182) Full Text: DOI
El-Amrani, Mofdi; Obbadi, Anouar; Seaid, Mohammed; Yakoubi, Driss Error estimates for a viscosity-splitting scheme in time applied to non-Newtonian fluid flows. (English) Zbl 07796663 Comput. Methods Appl. Mech. Eng. 419, Article ID 116639, 17 p. (2024). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{M. El-Amrani} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116639, 17 p. (2024; Zbl 07796663) Full Text: DOI
Adak, D.; Mora, D.; Silgado, A. The Morley-type virtual element method for the Navier-Stokes equations in stream-function form. (English) Zbl 07796644 Comput. Methods Appl. Mech. Eng. 419, Article ID 116573, 28 p. (2024). MSC: 65N30 65N12 76D05 65N15 PDFBibTeX XMLCite \textit{D. Adak} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116573, 28 p. (2024; Zbl 07796644) Full Text: DOI arXiv
Wang, Shixi; Bi, Hai; Yang, Yidu An adaptive FEM for the elastic transmission eigenvalue problem with different elastic tensors and different mass densities. (English) Zbl 07796540 Adv. Comput. Math. 50, No. 1, Paper No. 8, 28 p. (2024). MSC: 65N25 65N30 65N50 65N15 37K15 74B05 35Q74 PDFBibTeX XMLCite \textit{S. Wang} et al., Adv. Comput. Math. 50, No. 1, Paper No. 8, 28 p. (2024; Zbl 07796540) Full Text: DOI
Leykekhman, Dmitriy; Vexler, Boris \(L^2(I;H^1(\Omega)^d)\) and \(L^2(I;L^2(\Omega)^d)\) best approximation type error estimates for Galerkin solutions of transient Stokes problems. (English) Zbl 07795703 Calcolo 61, No. 1, Paper No. 7, 22 p. (2024). MSC: 65M60 65M15 35K20 35D30 35B65 76D07 76M10 35Q35 PDFBibTeX XMLCite \textit{D. Leykekhman} and \textit{B. Vexler}, Calcolo 61, No. 1, Paper No. 7, 22 p. (2024; Zbl 07795703) Full Text: DOI arXiv
Wang, Gang; Wang, Ying Least-squares virtual element method for Stokes problems on polygonal meshes. (English) Zbl 07794701 J. Sci. Comput. 98, No. 2, Paper No. 46, 27 p. (2024). MSC: 65N30 65K10 65N50 65N15 76D07 76M10 35B45 PDFBibTeX XMLCite \textit{G. Wang} and \textit{Y. Wang}, J. Sci. Comput. 98, No. 2, Paper No. 46, 27 p. (2024; Zbl 07794701) Full Text: DOI
Dong, Heping; Li, Peijun A novel boundary integral formulation for the biharmonic wave scattering problem. (English) Zbl 07794697 J. Sci. Comput. 98, No. 2, Paper No. 42, 29 p. (2024). Reviewer: Olaf Hansen (San Marcos) MSC: 65R20 65N38 65N35 45L05 31A30 PDFBibTeX XMLCite \textit{H. Dong} and \textit{P. Li}, J. Sci. Comput. 98, No. 2, Paper No. 42, 29 p. (2024; Zbl 07794697) Full Text: DOI arXiv
Wang, Xiaoying; Xu, Jie; Fu, Hongfei A linearlized mass-conservative fourth-order block-centered finite difference method for the semilinear Sobolev equation with variable coefficients. (English) Zbl 07793582 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107778, 23 p. (2024). MSC: 65M06 65N06 65B05 65M12 65M15 76A10 76M20 35Q35 PDFBibTeX XMLCite \textit{X. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107778, 23 p. (2024; Zbl 07793582) Full Text: DOI
Zhang, Xiaodi; Zhou, Xianghai Stability and error analysis of the SAV schemes for the inductionless MHD equations. (English) Zbl 07793580 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107776, 23 p. (2024). MSC: 65M60 65M06 65N30 65M12 65M15 76W05 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{X. Zhou}, Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107776, 23 p. (2024; Zbl 07793580) Full Text: DOI arXiv
Nguyen Van Duc; Thi-Phong Nguyen A regularization method for Caputo fractional derivatives in the Banach space \(L^\infty [0, T]\). (English) Zbl 07792409 Numer. Algorithms 95, No. 2, 1033-1053 (2024). MSC: 65J20 PDFBibTeX XMLCite \textit{Nguyen Van Duc} and \textit{Thi-Phong Nguyen}, Numer. Algorithms 95, No. 2, 1033--1053 (2024; Zbl 07792409) Full Text: DOI
Hellman, Fredrik; Målqvist, Axel; Mosquera, Malin Well-posedness and finite element approximation of mixed dimensional partial differential equations. (English) Zbl 07790947 BIT 64, No. 1, Paper No. 2, 22 p. (2024). MSC: 65N30 65N15 65F08 65F10 35J05 35A01 35A02 35B65 35B45 PDFBibTeX XMLCite \textit{F. Hellman} et al., BIT 64, No. 1, Paper No. 2, 22 p. (2024; Zbl 07790947) Full Text: DOI arXiv OA License
Liu, Xin; Tang, Qinglin; Zhang, Shaobo; Zhang, Yong On optimal zero-padding of kernel truncation method. (English) Zbl 07790225 SIAM J. Sci. Comput. 46, No. 1, A23-A49 (2024). Reviewer: Roberto Cavoretto (Torino) MSC: 65T50 PDFBibTeX XMLCite \textit{X. Liu} et al., SIAM J. Sci. Comput. 46, No. 1, A23--A49 (2024; Zbl 07790225) Full Text: DOI arXiv
Lin, Xiuxiu; Chen, Yanping; Huang, Yunqing Error estimates of hp spectral element methods in nonlinear optimal control problem. (English) Zbl 07787313 J. Nonlinear Sci. 34, No. 1, Paper No. 21, 23 p. (2024). MSC: 49J20 65K10 65N35 PDFBibTeX XMLCite \textit{X. Lin} et al., J. Nonlinear Sci. 34, No. 1, Paper No. 21, 23 p. (2024; Zbl 07787313) Full Text: DOI
Zhou, Xianghai; Zhang, Xiaodi; Su, Haiyan Local and parallel finite element algorithms based on charge-conservation approximation for the stationary inductionless magnetohydrodynamic problem. (English) Zbl 07784361 Comput. Math. Appl. 154, 224-235 (2024). MSC: 76M10 76W05 65N30 65N15 65Y05 PDFBibTeX XMLCite \textit{X. Zhou} et al., Comput. Math. Appl. 154, 224--235 (2024; Zbl 07784361) Full Text: DOI
Yang, Huaijun; Jia, Xu Superconvergence error analysis of Ciarlet-Raviart mixed finite element method for damped Boussinesq equation. (English) Zbl 07784359 Comput. Math. Appl. 154, 199-211 (2024). MSC: 65N30 65M60 65M12 65M06 35J40 PDFBibTeX XMLCite \textit{H. Yang} and \textit{X. Jia}, Comput. Math. Appl. 154, 199--211 (2024; Zbl 07784359) Full Text: DOI
Liang, Yihong; Jia, Hongen Linear and unconditionally energy stable schemes for the modified phase field crystal equation. (English) Zbl 07784336 Comput. Math. Appl. 153, 197-212 (2024). MSC: 65M06 65M12 35Q35 65M15 65M70 PDFBibTeX XMLCite \textit{Y. Liang} and \textit{H. Jia}, Comput. Math. Appl. 153, 197--212 (2024; Zbl 07784336) Full Text: DOI
Shi, Dongyang; Qi, Zhenqi Unconditional superconvergence analysis of an energy-preserving finite element scheme for nonlinear BBM equation. (English) Zbl 07784334 Comput. Math. Appl. 153, 172-185 (2024). MSC: 65M60 65M12 65N30 65M06 35Q53 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Z. Qi}, Comput. Math. Appl. 153, 172--185 (2024; Zbl 07784334) Full Text: DOI
Ati, Dania; Agroum, Rahma; Koko, Jonas A coupled model of the fluid flow with nonlinear slip Tresca boundary condition. (English) Zbl 07784332 Comput. Math. Appl. 153, 130-158 (2024). MSC: 76M10 76D05 65N30 35Q30 35Q35 PDFBibTeX XMLCite \textit{D. Ati} et al., Comput. Math. Appl. 153, 130--158 (2024; Zbl 07784332) Full Text: DOI
Tushar, Jai; Sau, Ramesh Chandra; Kumar, Anil Virtual element method for control constrained Dirichlet boundary control problem governed by the diffusion problem. (English) Zbl 07784055 J. Sci. Comput. 98, No. 1, Paper No. 21, 26 p. (2024). MSC: 65N30 65N15 65N12 65K10 49M41 93C20 PDFBibTeX XMLCite \textit{J. Tushar} et al., J. Sci. Comput. 98, No. 1, Paper No. 21, 26 p. (2024; Zbl 07784055) Full Text: DOI
Yang, Jinping; Green, Charles Wing Ho; Pani, Amiya K.; Yan, Yubin Unconditionally stable and convergent difference scheme for superdiffusion with extrapolation. (English) Zbl 07784046 J. Sci. Comput. 98, No. 1, Paper No. 12, 27 p. (2024). MSC: 65M06 65N06 65D05 65B05 65M15 65M12 45K05 35R09 26A33 35R11 PDFBibTeX XMLCite \textit{J. Yang} et al., J. Sci. Comput. 98, No. 1, Paper No. 12, 27 p. (2024; Zbl 07784046) Full Text: DOI OA License
Mallik, Gouranga; Gudi, Thirupathi A hybrid high-order method for a class of strongly nonlinear elliptic boundary value problems. (English) Zbl 07784040 J. Sci. Comput. 98, No. 1, Paper No. 6, 26 p. (2024). MSC: 65N30 65N12 65N15 35J66 35J57 47H10 35A01 35A02 PDFBibTeX XMLCite \textit{G. Mallik} and \textit{T. Gudi}, J. Sci. Comput. 98, No. 1, Paper No. 6, 26 p. (2024; Zbl 07784040) Full Text: DOI arXiv
Yang, Yuhui; Green, Charles Wing Ho; Pani, Amiya K.; Yan, Yubin High-order schemes based on extrapolation for semilinear fractional differential equation. (English) Zbl 07783086 Calcolo 61, No. 1, Paper No. 2, 40 p. (2024). MSC: 65M06 65D32 41A55 65B05 65D05 65M15 65M12 35R09 45K05 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Yang} et al., Calcolo 61, No. 1, Paper No. 2, 40 p. (2024; Zbl 07783086) Full Text: DOI OA License
Bréhier, Charles-Edouard; Cohen, David; Giordano, Giuseppe Splitting schemes for FitzHugh-Nagumo stochastic partial differential equations. (English) Zbl 1524.60157 Discrete Contin. Dyn. Syst., Ser. B 29, No. 1, 214-244 (2024). MSC: 60H35 65C30 60H15 92C20 PDFBibTeX XMLCite \textit{C.-E. Bréhier} et al., Discrete Contin. Dyn. Syst., Ser. B 29, No. 1, 214--244 (2024; Zbl 1524.60157) Full Text: DOI arXiv
Ngondiep, Eric A high-order combined finite element/interpolation approach for multidimensional nonlinear generalized Benjamin-Bona-Mahony-Burgers equation. (English) Zbl 07764083 Math. Comput. Simul. 215, 560-577 (2024). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{E. Ngondiep}, Math. Comput. Simul. 215, 560--577 (2024; Zbl 07764083) Full Text: DOI
Mittal, A. K. A space-time pseudospectral method for solving multi-dimensional quasi-linear parabolic partial differential (Burgers’) equations. (English) Zbl 07763847 Appl. Numer. Math. 195, 39-53 (2024). MSC: 65Mxx 35Qxx 65Nxx PDFBibTeX XMLCite \textit{A. K. Mittal}, Appl. Numer. Math. 195, 39--53 (2024; Zbl 07763847) Full Text: DOI
Dinh Nguyen Duy Hai On regularization results for a two-dimensional nonlinear time-fractional inverse diffusion problem. (English) Zbl 1527.35489 J. Math. Anal. Appl. 530, No. 2, Article ID 127721, 35 p. (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 35R30 35R11 65M32 35R25 PDFBibTeX XMLCite \textit{Dinh Nguyen Duy Hai}, J. Math. Anal. Appl. 530, No. 2, Article ID 127721, 35 p. (2024; Zbl 1527.35489) Full Text: DOI
Huang, Fenglin; Chen, Yanping; Chen, Yuefen; Sun, Hui Stochastic collocation for optimal control problems with stochastic PDE constraints by meshless techniques. (English) Zbl 07759006 J. Math. Anal. Appl. 530, No. 1, Article ID 127634, 18 p. (2024). MSC: 65Nxx 41Axx 60Hxx PDFBibTeX XMLCite \textit{F. Huang} et al., J. Math. Anal. Appl. 530, No. 1, Article ID 127634, 18 p. (2024; Zbl 07759006) Full Text: DOI
Yang, Jinting; Yi, Nianyu; Chen, Yaoyao Optimal error estimates of a SAV-FEM for the Cahn-Hilliard-Navier-Stokes model. (English) Zbl 07756782 J. Comput. Appl. Math. 438, Article ID 115577, 28 p. (2024). MSC: 65Mxx 76Dxx 76Mxx PDFBibTeX XMLCite \textit{J. Yang} et al., J. Comput. Appl. Math. 438, Article ID 115577, 28 p. (2024; Zbl 07756782) Full Text: DOI
Bazarra, N.; Fernández, J. R.; Liverani, L.; Quintanilla, R. Analysis of a thermoelastic problem with the Moore-Gibson-Thompson microtemperatures. (English) Zbl 1526.35051 J. Comput. Appl. Math. 438, Article ID 115571, 20 p. (2024). MSC: 35B40 35G61 65M60 74F05 PDFBibTeX XMLCite \textit{N. Bazarra} et al., J. Comput. Appl. Math. 438, Article ID 115571, 20 p. (2024; Zbl 1526.35051) Full Text: DOI
Ngondiep, Eric A posteriori error estimate of MacCormack rapid solver method for two-dimensional incompressible Navier-Stokes problems. (English) Zbl 1522.76043 J. Comput. Appl. Math. 438, Article ID 115569, 23 p. (2024). MSC: 76M10 65M06 65M12 76D05 PDFBibTeX XMLCite \textit{E. Ngondiep}, J. Comput. Appl. Math. 438, Article ID 115569, 23 p. (2024; Zbl 1522.76043) Full Text: DOI
Zhang, Xiaodi New error analysis and recovery technique of a class of fully discrete finite element methods for the dynamical inductionless MHD equations. (English) Zbl 07756755 J. Comput. Appl. Math. 438, Article ID 115541, 21 p. (2024). MSC: 65Nxx 76Mxx 65Mxx PDFBibTeX XMLCite \textit{X. Zhang}, J. Comput. Appl. Math. 438, Article ID 115541, 21 p. (2024; Zbl 07756755) Full Text: DOI
Han, Wei-Wei; Jiang, Yao-Lin; Miao, Zhen Numerical analysis of the SAV scheme for the EMAC formulation of the time-dependent Navier-Stokes equations. (English) Zbl 07756735 J. Comput. Appl. Math. 438, Article ID 115514, 17 p. (2024). MSC: 65Mxx 76Dxx 76Mxx PDFBibTeX XMLCite \textit{W.-W. Han} et al., J. Comput. Appl. Math. 438, Article ID 115514, 17 p. (2024; Zbl 07756735) Full Text: DOI
Proinov, Petko D.; Ivanov, Stoil I. A new family of Sakurai-Torii-Sugiura type iterative methods with high order of convergence. (English) Zbl 1519.65010 J. Comput. Appl. Math. 436, Article ID 115428, 16 p. (2024). MSC: 65H04 PDFBibTeX XMLCite \textit{P. D. Proinov} and \textit{S. I. Ivanov}, J. Comput. Appl. Math. 436, Article ID 115428, 16 p. (2024; Zbl 1519.65010) Full Text: DOI
Wang, Cheng; Wang, Jilu; Wise, Steven M.; Xia, Zeyu; Xu, Liwei Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn-Hilliard-magnetohydrodynamics system of equations. (English) Zbl 1528.76046 J. Comput. Appl. Math. 436, Article ID 115409, 17 p. (2024). MSC: 76M10 65M12 76W05 PDFBibTeX XMLCite \textit{C. Wang} et al., J. Comput. Appl. Math. 436, Article ID 115409, 17 p. (2024; Zbl 1528.76046) Full Text: DOI
Pousin, Jerome Some elliptic second order problems and neural network solutions: existence and error estimates. (English) Zbl 1522.65245 J. Comput. Appl. Math. 436, Article ID 115398, 13 p. (2024). MSC: 65N99 68T07 PDFBibTeX XMLCite \textit{J. Pousin}, J. Comput. Appl. Math. 436, Article ID 115398, 13 p. (2024; Zbl 1522.65245) Full Text: DOI
Meng, Jian; Mei, Liquan; Fei, Mingfa \( \boldsymbol{H}^1\)-conforming virtual element method for the Laplacian eigenvalue problem in mixed form. (English) Zbl 1519.65050 J. Comput. Appl. Math. 436, Article ID 115395, 17 p. (2024). MSC: 65N25 65N30 65N15 PDFBibTeX XMLCite \textit{J. Meng} et al., J. Comput. Appl. Math. 436, Article ID 115395, 17 p. (2024; Zbl 1519.65050) Full Text: DOI
Ku, JaEun Localized pointwise error estimates for hybrid finite element methods. (English) Zbl 1519.65055 J. Comput. Appl. Math. 436, Article ID 115385, 13 p. (2024). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{J. Ku}, J. Comput. Appl. Math. 436, Article ID 115385, 13 p. (2024; Zbl 1519.65055) Full Text: DOI
Hou, Yaxin; Wen, Cao; Liu, Yang; Li, Hong A two-grid ADI finite element approximation for a nonlinear distributed-order fractional sub-diffusion equation. (English) Zbl 07818903 Netw. Heterog. Media 18, No. 2, 855-876 (2023). MSC: 65L05 26A33 PDFBibTeX XMLCite \textit{Y. Hou} et al., Netw. Heterog. Media 18, No. 2, 855--876 (2023; Zbl 07818903) Full Text: DOI
Zhang, Juan; Dong, Lixiu; Zhang, Zhengru Second-order scalar auxiliary variable Fourier-spectral method for a liquid thin film coarsening model. (English) Zbl 07816031 Math. Methods Appl. Sci. 46, No. 18, 18815-18836 (2023). MSC: 35K35 35K55 49J40 65M06 65M12 PDFBibTeX XMLCite \textit{J. Zhang} et al., Math. Methods Appl. Sci. 46, No. 18, 18815--18836 (2023; Zbl 07816031) Full Text: DOI
Zhang, Xuqing; Han, Jiayu; Yang, Yidu A stabilized nonconforming Crouzeix-Raviart finite element method for the elasticity eigenvalue problem with the pure traction boundary condition. (English) Zbl 07815965 Math. Methods Appl. Sci. 46, No. 17, 17615-17631 (2023). MSC: 65N25 65N30 PDFBibTeX XMLCite \textit{X. Zhang} et al., Math. Methods Appl. Sci. 46, No. 17, 17615--17631 (2023; Zbl 07815965) Full Text: DOI
Yuan, Wanqiu; Li, Dongfang; Zhang, Chengjian Linearized transformed \(L1\) Galerkin FEMs with unconditional convergence for nonlinear time fractional Schrödinger equations. (English) Zbl 07814759 Numer. Math., Theory Methods Appl. 16, No. 2, 348-369 (2023). MSC: 34A08 65M12 65M60 65N30 PDFBibTeX XMLCite \textit{W. Yuan} et al., Numer. Math., Theory Methods Appl. 16, No. 2, 348--369 (2023; Zbl 07814759) Full Text: DOI
Deka, Bhupen; Roy, Papri; Kumar, Naresh; Kumar, Raman Convergence of weak Galerkin finite element method for second order linear wave equation in heterogeneous media. (English) Zbl 07814758 Numer. Math., Theory Methods Appl. 16, No. 2, 323-347 (2023). MSC: 65M15 65M60 PDFBibTeX XMLCite \textit{B. Deka} et al., Numer. Math., Theory Methods Appl. 16, No. 2, 323--347 (2023; Zbl 07814758) Full Text: DOI
Duprez, Michel; Lleras, Vanessa; Lozinski, Alexei; Vuillemot, Killian \(\phi\)-FEM for the heat equation: optimal convergence on unfitted meshes in space. (English) Zbl 07811832 C. R., Math., Acad. Sci. Paris 361, 1699-1710 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 35K05 35B45 35Q79 PDFBibTeX XMLCite \textit{M. Duprez} et al., C. R., Math., Acad. Sci. Paris 361, 1699--1710 (2023; Zbl 07811832) Full Text: DOI arXiv
Meddahi, Salim An \(hp\) error analysis of a hybrid discontinuous mixed Galerkin method for linear viscoelasticity. (English) Zbl 07805003 Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116452, 18 p. (2023). MSC: 65M30 65M12 65M15 74H15 PDFBibTeX XMLCite \textit{S. Meddahi}, Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116452, 18 p. (2023; Zbl 07805003) Full Text: DOI
Xu, Changling; Li, Huilai Two-grid methods of finite element approximation for parabolic integro-differential optimal control problems. (English) Zbl 07804369 Electron. Res. Arch. 31, No. 8, 4818-4842 (2023). MSC: 65N55 65N50 65M60 65M06 65N30 65M12 65M15 35R09 49M25 49K20 93C20 PDFBibTeX XMLCite \textit{C. Xu} and \textit{H. Li}, Electron. Res. Arch. 31, No. 8, 4818--4842 (2023; Zbl 07804369) Full Text: DOI
Adak, Dibyendu; Mora, David; Velásquez, Iván Nonconforming virtual element discretization for the transmission eigenvalue problem. (English) Zbl 07801670 Comput. Math. Appl. 152, 250-267 (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{D. Adak} et al., Comput. Math. Appl. 152, 250--267 (2023; Zbl 07801670) Full Text: DOI
Zheng, Jihui; Cao, Waixiang; An, Jing A novel spectral method and error estimates for fourth-order problems with mixed boundary conditions in a cylindrical domain. (English) Zbl 07801663 Comput. Math. Appl. 152, 221-238 (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{J. Zheng} et al., Comput. Math. Appl. 152, 221--238 (2023; Zbl 07801663) Full Text: DOI
Csomós, Petra; Farkas, Bálint; Kovács, Balázs Error estimates for a splitting integrator for abstract semilinear boundary coupled systems. (English) Zbl 07800844 IMA J. Numer. Anal. 43, No. 6, 3628-3655 (2023). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65L10 65L05 65J10 PDFBibTeX XMLCite \textit{P. Csomós} et al., IMA J. Numer. Anal. 43, No. 6, 3628--3655 (2023; Zbl 07800844) Full Text: DOI arXiv
Sosa Jones, Giselle; Cappanera, Loïc; Riviere, Beatrice Existence and convergence of a discontinuous Galerkin method for the incompressible three-phase flow problem in porous media. (English) Zbl 07800819 IMA J. Numer. Anal. 43, No. 5, 2714-2747 (2023). MSC: 65L60 65M60 65N30 74F10 PDFBibTeX XMLCite \textit{G. Sosa Jones} et al., IMA J. Numer. Anal. 43, No. 5, 2714--2747 (2023; Zbl 07800819) Full Text: DOI arXiv
Kammonen, Aku; Kiessling, Jonas; Plecháč, Petr; Sandberg, Mattias; Szepessy, Anders; Tempone, Raul Smaller generalization error derived for a deep residual neural network compared with shallow networks. (English) Zbl 07800816 IMA J. Numer. Anal. 43, No. 5, 2585-2632 (2023). MSC: 68T07 68W20 PDFBibTeX XMLCite \textit{A. Kammonen} et al., IMA J. Numer. Anal. 43, No. 5, 2585--2632 (2023; Zbl 07800816) Full Text: DOI arXiv OA License
Yan, Fengna; Cheng, Ziqiang Stability and error estimates of high order BDF-LDG discretizations for the Allen-Cahn equation. (English) Zbl 07800812 Comput. Math. Math. Phys. 63, No. 12, 2551-2571 (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{F. Yan} and \textit{Z. Cheng}, Comput. Math. Math. Phys. 63, No. 12, 2551--2571 (2023; Zbl 07800812) Full Text: DOI
Jeknić, Zorica Milovanović; Sredojević, Bratislav; Bojović, Dejan On the numerical solution of an elliptic problem with nonlocal boundary conditions. (English) Zbl 07799514 ETNA, Electron. Trans. Numer. Anal. 59, 179-201 (2023). MSC: 65N06 65N12 65N15 PDFBibTeX XMLCite \textit{Z. M. Jeknić} et al., ETNA, Electron. Trans. Numer. Anal. 59, 179--201 (2023; Zbl 07799514) Full Text: DOI Link
Semenova, Y. V.; Solodky, S. G. An optimal method for recovering the mixed derivative \(f^{(2,2)}\) of bivariate functions. (English) Zbl 07799505 ETNA, Electron. Trans. Numer. Anal. 58, 582-596 (2023). MSC: 47A52 65D25 PDFBibTeX XMLCite \textit{Y. V. Semenova} and \textit{S. G. Solodky}, ETNA, Electron. Trans. Numer. Anal. 58, 582--596 (2023; Zbl 07799505) Full Text: DOI Link
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
Aldbaissy, Rim; Chalhoub, Nancy; Djoko, J. K.; Sayah, Toni Full discretisation of the time dependent Navier-Stokes equations with anisotropic slip boundary condition. (English) Zbl 07793806 Int. J. Numer. Anal. Model. 20, No. 4, 497-517 (2023). MSC: 65N30 76M10 35J85 PDFBibTeX XMLCite \textit{R. Aldbaissy} et al., Int. J. Numer. Anal. Model. 20, No. 4, 497--517 (2023; Zbl 07793806) Full Text: DOI
Adak, Dibyendu; Manzini, Gianmarco The nonconforming virtual element method for Oseen’s equation using a stream-function formulation. (English) Zbl 07792488 ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3303-3334 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 65N15 35K25 35B45 76D07 76M10 35Q35 PDFBibTeX XMLCite \textit{D. Adak} and \textit{G. Manzini}, ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3303--3334 (2023; Zbl 07792488) Full Text: DOI
Maity, Ruma Rani; Majumdar, Apala; Nataraj, Neela A priori and a posteriori error analysis for semilinear problems in liquid crystals. (English) Zbl 07792485 ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3201-3250 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 35J15 35J60 65N12 65N15 35B45 35B65 31A30 76A15 82D30 76M10 35Q35 PDFBibTeX XMLCite \textit{R. R. Maity} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3201--3250 (2023; Zbl 07792485) Full Text: DOI
Ghosh, Bappa; Mohapatra, Jugal A novel numerical technique for solving time fractional nonlinear diffusion equations involving weak singularities. (English) Zbl 07790758 Math. Methods Appl. Sci. 46, No. 12, 12811-12825 (2023). MSC: 65M06 65N06 65M12 65M15 35A21 35R10 26A33 35R11 35Q35 35Q92 PDFBibTeX XMLCite \textit{B. Ghosh} and \textit{J. Mohapatra}, Math. Methods Appl. Sci. 46, No. 12, 12811--12825 (2023; Zbl 07790758) Full Text: DOI
Si, Zhiyong; Guo, Xiaonan; Wang, Yunxia A modified characteristics projection finite element method for the non-stationary incompressible thermally coupled MHD equations. (English) Zbl 07789838 Math. Methods Appl. Sci. 46, No. 16, 17422-17460 (2023). MSC: 76D05 35Q30 65M60 65N30 PDFBibTeX XMLCite \textit{Z. Si} et al., Math. Methods Appl. Sci. 46, No. 16, 17422--17460 (2023; Zbl 07789838) Full Text: DOI
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Larsson, Karl Isogeometric analysis and augmented Lagrangian Galerkin least squares methods for residual minimization in dual norm. (English) Zbl 07788084 Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116302, 17 p. (2023). MSC: 65-XX 49-XX PDFBibTeX XMLCite \textit{E. Burman} et al., Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116302, 17 p. (2023; Zbl 07788084) Full Text: DOI
Dorodnyi, M. High-energy homogenization of a multidimensional nonstationary Schrödinger equation. (English) Zbl 07788013 Russ. J. Math. Phys. 30, No. 4, 480-500 (2023). MSC: 35B27 35B45 35J25 35K15 PDFBibTeX XMLCite \textit{M. Dorodnyi}, Russ. J. Math. Phys. 30, No. 4, 480--500 (2023; Zbl 07788013) Full Text: DOI arXiv
Lepe, Felipe; Rivera, Gonzalo VEM discretization allowing small edges for the reaction-convection-diffusion equation: source and spectral problems. (English) Zbl 07787608 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 3139-3164 (2023). MSC: 65N30 65N25 65N12 65N15 76R50 35B45 PDFBibTeX XMLCite \textit{F. Lepe} and \textit{G. Rivera}, ESAIM, Math. Model. Numer. Anal. 57, No. 5, 3139--3164 (2023; Zbl 07787608) Full Text: DOI arXiv
Leykekhman, Dmitriy; Vexler, Boris; Wagner, Jakob Fully discrete pointwise smoothing error estimates for measure valued initial data. (English) Zbl 07787606 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 3091-3111 (2023). MSC: 65M60 65N30 65M15 35K10 35B65 35R06 PDFBibTeX XMLCite \textit{D. Leykekhman} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 5, 3091--3111 (2023; Zbl 07787606) Full Text: DOI arXiv
Bukač, Martina; Muha, Boris; Salgado, Abner J. Analysis of a diffuse interface method for the Stokes-Darcy coupled problem. (English) Zbl 07787591 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2623-2658 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76S05 76D07 35B45 35Q35 76M10 76M20 PDFBibTeX XMLCite \textit{M. Bukač} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2623--2658 (2023; Zbl 07787591) Full Text: DOI arXiv
Zhang, Qian; Zhang, Min; Zhang, Zhimin Nonconforming finite elements for the \(-\operatorname{curl}\Delta\operatorname{curl}\) and Brinkman problems on cubical meshes. (English) Zbl 07787323 Commun. Comput. Phys. 34, No. 5, 1332-1360 (2023). MSC: 65N30 35Q60 65N15 35B45 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Commun. Comput. Phys. 34, No. 5, 1332--1360 (2023; Zbl 07787323) Full Text: DOI arXiv
He, Qiaoling; Yan, Junping; Abuduwaili, Abudurexiti Stability analysis of several time discrete schemes for Allen-Cahn and Cahn-Hilliard equations. (English) Zbl 07786672 Comput. Math. Math. Phys. 63, No. 10, 1773-1786 (2023). MSC: 65M12 35K20 35K35 PDFBibTeX XMLCite \textit{Q. He} et al., Comput. Math. Math. Phys. 63, No. 10, 1773--1786 (2023; Zbl 07786672) Full Text: DOI
Zhan, Jiajun; Zhong, Liuqiang; Peng, Jie Iterative two-grid methods for discontinuous Galerkin finite element approximations of semilinear elliptic problem. (English) Zbl 07785130 Adv. Comput. Math. 49, No. 6, Paper No. 84, 22 p. (2023). MSC: 65N30 65N55 65N50 65N12 65N15 35J61 35A15 41A58 PDFBibTeX XMLCite \textit{J. Zhan} et al., Adv. Comput. Math. 49, No. 6, Paper No. 84, 22 p. (2023; Zbl 07785130) Full Text: DOI
Samraiz, Muhammad; Malik, Maria; Naheed, Saima; Akdemir, Ahmet Ocak Error estimates of Hermite-Hadamard type inequalities with respect to a monotonically increasing function. (English) Zbl 1528.26024 Math. Methods Appl. Sci. 46, No. 13, 14527-14546 (2023). MSC: 26D10 26D15 26A33 26A51 PDFBibTeX XMLCite \textit{M. Samraiz} et al., Math. Methods Appl. Sci. 46, No. 13, 14527--14546 (2023; Zbl 1528.26024) Full Text: DOI
Liu, Huipo A posteriori error estimates of a DG method for optimal control problems governed by the transport equation. (English) Zbl 07784406 Comput. Appl. Math. 42, No. 8, Paper No. 355, 17 p. (2023). MSC: 49J20 65N30 PDFBibTeX XMLCite \textit{H. Liu}, Comput. Appl. Math. 42, No. 8, Paper No. 355, 17 p. (2023; Zbl 07784406) Full Text: DOI
Qian, Yanxia; Zhang, Yongchao; Huang, Yunqing Stability and error estimates of GPAV-based unconditionally energy-stable scheme for phase field crystal equation. (English) Zbl 07783954 Comput. Math. Appl. 151, 461-472 (2023). MSC: 65M12 65M06 35K55 65M15 65-XX PDFBibTeX XMLCite \textit{Y. Qian} et al., Comput. Math. Appl. 151, 461--472 (2023; Zbl 07783954) Full Text: DOI
Mahmood, Tariq; Shang, Zhaoyang; Sun, Mei On the vanishing elastic limit of compressible liquid crystal material flow. (English) Zbl 07783869 Math. Methods Appl. Sci. 46, No. 9, 10480-10498 (2023). MSC: 35Q35 35Q30 76N10 76A15 PDFBibTeX XMLCite \textit{T. Mahmood} et al., Math. Methods Appl. Sci. 46, No. 9, 10480--10498 (2023; Zbl 07783869) Full Text: DOI