Chen, Jau-Uei; Kang, Shinhoo; Bui-Thanh, Tan; Shadid, John N. A unified hp-HDG framework for Friedrichs’ PDE systems. (English) Zbl 07784362 Comput. Math. Appl. 154, 236-266 (2024). MSC: 65N30 65N15 76M10 65N12 35J25 PDFBibTeX XMLCite \textit{J.-U. Chen} et al., Comput. Math. Appl. 154, 236--266 (2024; Zbl 07784362) Full Text: DOI arXiv
Wang, Zhongqian; Ye, Changqing; Chung, Eric T. A multiscale method for inhomogeneous elastic problems with high contrast coefficients. (English) Zbl 1522.65228 J. Comput. Appl. Math. 436, Article ID 115397, 21 p. (2024). MSC: 65N30 74B10 74G65 74M25 74S05 35Q74 PDFBibTeX XMLCite \textit{Z. Wang} et al., J. Comput. Appl. Math. 436, Article ID 115397, 21 p. (2024; Zbl 1522.65228) Full Text: DOI arXiv
Lepe, Felipe; Vellojin, Jesus A posteriori analysis for a mixed formulation of the Stokes spectral problem. (English) Zbl 07783079 Calcolo 60, No. 4, Paper No. 52, 28 p. (2023). MSC: 35Q35 76D07 35R06 65N25 65N30 65N50 65N15 76M10 PDFBibTeX XMLCite \textit{F. Lepe} and \textit{J. Vellojin}, Calcolo 60, No. 4, Paper No. 52, 28 p. (2023; Zbl 07783079) Full Text: DOI arXiv
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
Alahyane, Mohamed; Soufyane, Abdelaziz; Zahri, Mostafa Numerical approximation of the optimal control of a population dynamics model. (English) Zbl 07776975 Numer. Methods Partial Differ. Equations 39, No. 2, 1583-1603 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Alahyane} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1583--1603 (2023; Zbl 07776975) Full Text: DOI
Zhu, Peng; Xie, Shenglan A weak Galerkin method and its two-grid algorithm for the quasi-linear elliptic problems of non-monotone type. (English) Zbl 07776952 Numer. Methods Partial Differ. Equations 39, No. 2, 1042-1066 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{P. Zhu} and \textit{S. Xie}, Numer. Methods Partial Differ. Equations 39, No. 2, 1042--1066 (2023; Zbl 07776952) Full Text: DOI arXiv
Allendes, Alejandro; Campaña, Gilberto; Otárola, Enrique Numerical discretization of a Darcy-Forchheimer problem coupled with a singular heat equation. (English) Zbl 07766063 SIAM J. Sci. Comput. 45, No. 5, A2755-A2780 (2023). MSC: 65-XX 35R06 65N12 65N15 65N50 76S05 PDFBibTeX XMLCite \textit{A. Allendes} et al., SIAM J. Sci. Comput. 45, No. 5, A2755--A2780 (2023; Zbl 07766063) Full Text: DOI arXiv
Chen, Wei; Hu, Jun; Zhang, Min Nonconforming finite element methods of order two and order three for the Stokes flow in three dimensions. (English) Zbl 1522.65203 J. Sci. Comput. 97, No. 1, Paper No. 1, 31 p. (2023). MSC: 65N30 65N15 65N12 35B45 76D07 PDFBibTeX XMLCite \textit{W. Chen} et al., J. Sci. Comput. 97, No. 1, Paper No. 1, 31 p. (2023; Zbl 1522.65203) Full Text: DOI arXiv
Kakumani, Bhargav Kumar; Tumuluri, Suman Kumar A convergent numerical scheme to a McKendrick-von Foerster equation with diffusion. (English) Zbl 1524.35286 Int. J. Comput. Math. 100, No. 6, 1193-1211 (2023). MSC: 35K20 65N12 92D25 PDFBibTeX XMLCite \textit{B. K. Kakumani} and \textit{S. K. Tumuluri}, Int. J. Comput. Math. 100, No. 6, 1193--1211 (2023; Zbl 1524.35286) Full Text: DOI arXiv
Etangsale, Grégory; Fahs, Marwan; Fontaine, Vincent Families of hybridized interior penalty discontinuous Galerkin methods for locally degenerate advection-diffusion-reaction problems. (English) Zbl 07704206 Appl. Math. Comput. 456, Article ID 128124, 20 p. (2023). MSC: 65Nxx 35Jxx 65Mxx PDFBibTeX XMLCite \textit{G. Etangsale} et al., Appl. Math. Comput. 456, Article ID 128124, 20 p. (2023; Zbl 07704206) Full Text: DOI arXiv
Adak, D.; Mora, D.; Silgado, A. A Morley-type virtual element approximation for a wind-driven ocean circulation model on polygonal meshes. (English) Zbl 1515.65283 J. Comput. Appl. Math. 425, Article ID 115026, 23 p. (2023). MSC: 65N30 35Q35 65N12 65N15 PDFBibTeX XMLCite \textit{D. Adak} et al., J. Comput. Appl. Math. 425, Article ID 115026, 23 p. (2023; Zbl 1515.65283) Full Text: DOI
Zhao, Lina; Sun, Shuyu A strongly mass conservative method for the coupled Brinkman-Darcy flow and transport. (English) Zbl 07676554 SIAM J. Sci. Comput. 45, No. 2, B166-B199 (2023). MSC: 65M60 65N30 65M12 76S05 35Q35 35Q49 PDFBibTeX XMLCite \textit{L. Zhao} and \textit{S. Sun}, SIAM J. Sci. Comput. 45, No. 2, B166--B199 (2023; Zbl 07676554) Full Text: DOI arXiv
Al Mahbub, Md. Abdullah; Shan, Li; Zheng, Haibiao Uncoupling evolutionary groundwater-surface water flows: stabilized mixed methods in both porous media and fluid regions. (English) Zbl 1516.65083 Numer. Algorithms 92, No. 3, 1837-1874 (2023). MSC: 65M60 65M06 65N30 65N12 76D07 76S05 86A05 35Q35 35Q86 PDFBibTeX XMLCite \textit{Md. A. Al Mahbub} et al., Numer. Algorithms 92, No. 3, 1837--1874 (2023; Zbl 1516.65083) Full Text: DOI
Fotso, Yves Fotso; Touzeau, Suzanne; Grognard, Frédéric; Tsanou, Berge; Bowong, Samuel Optimal control of coffee berry borers: synergy between bio-insecticide and traps. (English) Zbl 1512.92141 J. Optim. Theory Appl. 196, No. 3, 882-899 (2023). MSC: 92D45 92D25 92D30 49J20 35L60 PDFBibTeX XMLCite \textit{Y. F. Fotso} et al., J. Optim. Theory Appl. 196, No. 3, 882--899 (2023; Zbl 1512.92141) Full Text: DOI
Bringmann, Philipp How to prove optimal convergence rates for adaptive least-squares finite element methods. (English) Zbl 1515.65285 J. Numer. Math. 31, No. 1, 43-58 (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65K10 65N50 65N12 65N15 65Y20 42A20 35J05 76D07 74B10 74J05 PDFBibTeX XMLCite \textit{P. Bringmann}, J. Numer. Math. 31, No. 1, 43--58 (2023; Zbl 1515.65285) Full Text: DOI
Yue, Jing; Li, Jian Efficient coupled deep neural networks for the time-dependent coupled Stokes-Darcy problems. (English) Zbl 1510.76173 Appl. Math. Comput. 437, Article ID 127514, 19 p. (2023). MSC: 76S05 76M10 76D07 35Q30 PDFBibTeX XMLCite \textit{J. Yue} and \textit{J. Li}, Appl. Math. Comput. 437, Article ID 127514, 19 p. (2023; Zbl 1510.76173) Full Text: DOI
Lepe, Felipe; Rivera, Gonzalo; Vellojin, Jesus Error estimates for a vorticity-based velocity-stress formulation of the Stokes eigenvalue problem. (English) Zbl 1497.65214 J. Comput. Appl. Math. 420, Article ID 114798, 20 p. (2023). MSC: 65N25 35Q35 65N15 65N30 65N50 76D07 PDFBibTeX XMLCite \textit{F. Lepe} et al., J. Comput. Appl. Math. 420, Article ID 114798, 20 p. (2023; Zbl 1497.65214) Full Text: DOI arXiv
Zhao, Lina; Park, Eun-Jae; Chung, Eric A pressure robust staggered discontinuous Galerkin method for the Stokes equations. (English) Zbl 1504.65262 Comput. Math. Appl. 128, 163-179 (2022). MSC: 65N30 35Q30 76M30 PDFBibTeX XMLCite \textit{L. Zhao} et al., Comput. Math. Appl. 128, 163--179 (2022; Zbl 1504.65262) Full Text: DOI arXiv
Han, Yihui Pressure robust hybrid mixed finite element method for Darcy-Forchheimer model. (English) Zbl 1513.65463 Int. J. Comput. Math. 99, No. 11, 2349-2365 (2022). MSC: 65N30 65N15 76S05 35Q35 PDFBibTeX XMLCite \textit{Y. Han}, Int. J. Comput. Math. 99, No. 11, 2349--2365 (2022; Zbl 1513.65463) Full Text: DOI
Tunc, H.; Sari, M.; Mussa, S. H. A Padé-Legendre reconstruction approach in capturing shock behavior. (English) Zbl 1513.65313 Azerb. J. Math. 12, No. 2, 45-60 (2022). MSC: 65M06 35Q53 PDFBibTeX XMLCite \textit{H. Tunc} et al., Azerb. J. Math. 12, No. 2, 45--60 (2022; Zbl 1513.65313) Full Text: Link
Zhao, Lina A Robin-type domain decomposition method for a novel mixed-type DG method for the coupled Stokes-Darcy problem. (English) Zbl 1523.65097 SIAM J. Sci. Comput. 44, No. 5, B1221-B1256 (2022). MSC: 65N30 65N55 65N12 76S05 76D07 35Q35 PDFBibTeX XMLCite \textit{L. Zhao}, SIAM J. Sci. Comput. 44, No. 5, B1221--B1256 (2022; Zbl 1523.65097) Full Text: DOI arXiv
Lewkiewicz, Stephanie M.; De Bona, Sebastiano; Helmus, Matthew R.; Seibold, Benjamin Temperature sensitivity of pest reproductive numbers in age-structured PDE models, with a focus on the invasive spotted lanternfly. (English) Zbl 1497.35478 J. Math. Biol. 85, No. 3, Paper No. 29, 37 p. (2022). MSC: 35Q92 92-10 92D40 92D45 92D25 92-08 65M70 65M06 65N35 PDFBibTeX XMLCite \textit{S. M. Lewkiewicz} et al., J. Math. Biol. 85, No. 3, Paper No. 29, 37 p. (2022; Zbl 1497.35478) Full Text: DOI arXiv
Kim, Dongho; Park, Eun-Jae; Seo, Boyoon Error analysis for the pseudostress formulation of unsteady Stokes problem. (English) Zbl 1502.65128 Numer. Algorithms 91, No. 2, 959-996 (2022). MSC: 65M60 65M06 65N30 65K10 65M12 65M15 76D07 35Q35 PDFBibTeX XMLCite \textit{D. Kim} et al., Numer. Algorithms 91, No. 2, 959--996 (2022; Zbl 1502.65128) Full Text: DOI
Taraschi, Giovanni; Correa, Maicon R. On the convergence of the primal hybrid finite element method on quadrilateral meshes. (English) Zbl 1502.65217 Appl. Numer. Math. 181, 552-560 (2022). MSC: 65N30 65N12 65N50 35J25 76S05 76M10 35Q35 PDFBibTeX XMLCite \textit{G. Taraschi} and \textit{M. R. Correa}, Appl. Numer. Math. 181, 552--560 (2022; Zbl 1502.65217) Full Text: DOI
Deugoue, G.; Djoko, J. K.; Konlack, V. S.; Mbehou, M. Numerical analysis of a Darcy-Forchheimer model coupled with the heat equation. (English) Zbl 1502.65096 J. Sci. Comput. 92, No. 2, Paper No. 55, 36 p. (2022). MSC: 65M50 65M12 65M15 35K05 35A15 76S05 76M10 35Q35 PDFBibTeX XMLCite \textit{G. Deugoue} et al., J. Sci. Comput. 92, No. 2, Paper No. 55, 36 p. (2022; Zbl 1502.65096) Full Text: DOI
Erath, Christoph; Mascotto, Lorenzo; Melenk, Jens M.; Perugia, Ilaria; Rieder, Alexander Mortar coupling of \(hp\)-discontinuous Galerkin and boundary element methods for the Helmholtz equation. (English) Zbl 1492.65304 J. Sci. Comput. 92, No. 1, Paper No. 2, 41 p. (2022). MSC: 65N30 65N38 65N50 35J05 76Q05 76M10 76M15 35Q35 PDFBibTeX XMLCite \textit{C. Erath} et al., J. Sci. Comput. 92, No. 1, Paper No. 2, 41 p. (2022; Zbl 1492.65304) Full Text: DOI arXiv
He, Mingyan; Sun, Pengtao; Zhao, Hui Finite element approximations to a fourth-order modified Poisson-Fermi equation for electrostatic correlations in concentrated electrolytes. (English) Zbl 1524.65811 Comput. Math. Appl. 117, 229-244 (2022). MSC: 65N30 35J40 65N15 35J65 78A57 65N12 78A30 35Q60 35Q20 76X05 35Q35 PDFBibTeX XMLCite \textit{M. He} et al., Comput. Math. Appl. 117, 229--244 (2022; Zbl 1524.65811) Full Text: DOI
Zhao, Lina; Park, Eun-Jae; Kim, Wonjong A staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes: a priori and a posteriori analysis. (English) Zbl 1524.65883 Comput. Math. Appl. 117, 216-228 (2022). MSC: 65N30 65N15 65N12 35J40 74K20 31A30 65N85 65N50 35Q74 PDFBibTeX XMLCite \textit{L. Zhao} et al., Comput. Math. Appl. 117, 216--228 (2022; Zbl 1524.65883) Full Text: DOI
Mora, David; Silgado, Alberth A \(C^1\) virtual element method for the stationary quasi-geostrophic equations of the ocean. (English) Zbl 1524.65849 Comput. Math. Appl. 116, 212-228 (2022). MSC: 65N30 76M10 65N15 65N12 86A05 35G20 76U60 35Q35 35Q86 PDFBibTeX XMLCite \textit{D. Mora} and \textit{A. Silgado}, Comput. Math. Appl. 116, 212--228 (2022; Zbl 1524.65849) Full Text: DOI
Boon, Wietse M.; Gläser, Dennis; Helmig, Rainer; Yotov, Ivan Flux-mortar mixed finite element methods on nonmatching grids. (English) Zbl 1493.65192 SIAM J. Numer. Anal. 60, No. 3, 1193-1225 (2022). MSC: 65N30 65N12 65N15 65N55 65N50 35B45 35A01 35A02 76S05 76D07 PDFBibTeX XMLCite \textit{W. M. Boon} et al., SIAM J. Numer. Anal. 60, No. 3, 1193--1225 (2022; Zbl 1493.65192) Full Text: DOI arXiv
Chen, Gang; Cockburn, Bernardo; Singler, John R.; Zhang, Yangwen Superconvergent interpolatory HDG methods for reaction diffusion equations. II: HHO-inspired methods. (English) Zbl 1499.65488 Commun. Appl. Math. Comput. 4, No. 2, 477-499 (2022). MSC: 65M60 65M06 65N30 65M12 35K58 PDFBibTeX XMLCite \textit{G. Chen} et al., Commun. Appl. Math. Comput. 4, No. 2, 477--499 (2022; Zbl 1499.65488) Full Text: DOI arXiv
Baccouch, Mahboub Convergence and superconvergence of the local discontinuous Galerkin method for semilinear second-order elliptic problems on Cartesian grids. (English) Zbl 1499.65624 Commun. Appl. Math. Comput. 4, No. 2, 437-476 (2022). MSC: 65N12 65N15 65N30 35J15 35J61 PDFBibTeX XMLCite \textit{M. Baccouch}, Commun. Appl. Math. Comput. 4, No. 2, 437--476 (2022; Zbl 1499.65624) 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
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 1507.76097 Comput. Methods Appl. Mech. Eng. 394, Article ID 114895, 32 p. (2022). MSC: 76M10 65N30 35Q79 65N12 65N15 76D07 76R05 PDFBibTeX XMLCite \textit{S. Caucao} et al., Comput. Methods Appl. Mech. Eng. 394, Article ID 114895, 32 p. (2022; Zbl 1507.76097) Full Text: DOI
Jeon, Youngmok An immersed hybrid difference method for the elliptic interface equation. (English) Zbl 1491.65143 Japan J. Ind. Appl. Math. 39, No. 2, 669-692 (2022). Reviewer: Zhen Chao (Milwaukee) MSC: 65N30 65N38 65N50 65N06 35J15 PDFBibTeX XMLCite \textit{Y. Jeon}, Japan J. Ind. Appl. Math. 39, No. 2, 669--692 (2022; Zbl 1491.65143) Full Text: DOI
Zhao, Lina; Lam, Ming Fai; Chung, Eric A uniformly robust staggered DG method for the unsteady Darcy-Forchheimer-Brinkman problem. (English) Zbl 1499.65551 Commun. Appl. Math. Comput. 4, No. 1, 205-226 (2022). MSC: 65M60 65M06 65N30 65M50 65M12 65M15 76S05 76D07 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{L. Zhao} et al., Commun. Appl. Math. Comput. 4, No. 1, 205--226 (2022; Zbl 1499.65551) Full Text: DOI arXiv
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
Shin, Dongwook; Jeon, Youngmok; Park, Eun-Jae A novel hybrid difference method for an elliptic equation. (English) Zbl 1510.65283 Appl. Math. Comput. 415, Article ID 126702, 21 p. (2022). MSC: 65N06 35J05 65N30 PDFBibTeX XMLCite \textit{D. Shin} et al., Appl. Math. Comput. 415, Article ID 126702, 21 p. (2022; Zbl 1510.65283) Full Text: DOI
Baccouch, Mahboub Optimal error estimates of the local discontinuous Galerkin method for nonlinear second-order elliptic problems on Cartesian grids. (English) Zbl 07777708 Numer. Methods Partial Differ. Equations 37, No. 1, 505-532 (2021). MSC: 65N30 65N15 35J25 35B45 35A09 PDFBibTeX XMLCite \textit{M. Baccouch}, Numer. Methods Partial Differ. Equations 37, No. 1, 505--532 (2021; Zbl 07777708) Full Text: DOI
Yang, Huaijun; Shi, Dongyang; Zhang, Li-Tao Unconditionally optimal error estimates of BDF2 Galerkin method for semilinear parabolic equation. (English) Zbl 07776083 Numer. Methods Partial Differ. Equations 37, No. 3, 2511-2526 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. Yang} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2511--2526 (2021; Zbl 07776083) Full Text: DOI
Zhang, Xianqiang; Xu, Qiuyan Equal-order finite elements with nodal projection stabilization for Darcy-Forchheimer model. (English) Zbl 07776026 Numer. Methods Partial Differ. Equations 37, No. 2, 1464-1480 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X. Zhang} and \textit{Q. Xu}, Numer. Methods Partial Differ. Equations 37, No. 2, 1464--1480 (2021; Zbl 07776026) Full Text: DOI
Ren, Ruichao; Zhang, Shunli Non-classical symmetry and analytic self-similar solutions for a non-homogenous time-fractional vector NLS system. (English) Zbl 1487.35417 Adv. Difference Equ. 2021, Paper No. 78, 22 p. (2021). MSC: 35R11 35Q55 35Q53 26A33 35B06 PDFBibTeX XMLCite \textit{R. Ren} and \textit{S. Zhang}, Adv. Difference Equ. 2021, Paper No. 78, 22 p. (2021; Zbl 1487.35417) Full Text: DOI
Kakumani, Bhargav Kumar Optimal control of nonlinear renewal equation. (English) Zbl 1483.35302 Int. J. Control 94, No. 3, 570-578 (2021). MSC: 35Q93 35Q92 92D25 35A01 35A02 49J20 PDFBibTeX XMLCite \textit{B. K. Kakumani}, Int. J. Control 94, No. 3, 570--578 (2021; Zbl 1483.35302) Full Text: DOI
Ahn, Jeongho Dynamic frictional thermoviscoelastic Gao beams. (English) Zbl 1484.74061 Z. Angew. Math. Phys. 72, No. 6, Paper No. 194, 25 p. (2021). Reviewer: Ramón Quintanilla De Latorre (Barcelona) MSC: 74M15 74M10 74K10 74F05 74H20 74S05 35Q74 PDFBibTeX XMLCite \textit{J. Ahn}, Z. Angew. Math. Phys. 72, No. 6, Paper No. 194, 25 p. (2021; Zbl 1484.74061) Full Text: DOI
Kim, H. H.; Jung, C.-Y.; Nguyen, T. B. A staggered discontinuous Galerkin method for elliptic problems on rectangular grids. (English) Zbl 1524.65825 Comput. Math. Appl. 99, 133-154 (2021). MSC: 65N30 65N12 65N15 35B25 65N08 PDFBibTeX XMLCite \textit{H. H. Kim} et al., Comput. Math. Appl. 99, 133--154 (2021; Zbl 1524.65825) Full Text: DOI
Pany, Ambit Kumar; Khebchareon, Morrakot; Pani, Amiya K. Negative norm estimates and superconvergence results in Galerkin method for strongly nonlinear parabolic problems. (English) Zbl 1524.65853 Comput. Math. Appl. 99, 26-36 (2021). MSC: 65N30 65N15 35J65 65M60 65N12 35K58 PDFBibTeX XMLCite \textit{A. K. Pany} et al., Comput. Math. Appl. 99, 26--36 (2021; Zbl 1524.65853) Full Text: DOI arXiv
Yazdanian, Hassan; Knudsen, Kim Numerical conductivity reconstruction from partial interior current density information in three dimensions. (English) Zbl 1472.35461 Inverse Probl. 37, No. 10, Article ID 105010, 26 p. (2021). MSC: 35R30 35J25 65N21 PDFBibTeX XMLCite \textit{H. Yazdanian} and \textit{K. Knudsen}, Inverse Probl. 37, No. 10, Article ID 105010, 26 p. (2021; Zbl 1472.35461) Full Text: DOI
Arshad, Muhammad; Park, Eun-Jae; Shin, Dongwook Multiscale mortar mixed domain decomposition approximations of nonlinear parabolic equations. (English) Zbl 1524.65509 Comput. Math. Appl. 97, 375-385 (2021). MSC: 65M60 65N30 76S05 65N15 76M10 35J25 65M06 76M20 35K55 65N55 PDFBibTeX XMLCite \textit{M. Arshad} et al., Comput. Math. Appl. 97, 375--385 (2021; Zbl 1524.65509) Full Text: DOI
Yang, Di; He, Yinnian A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes. (English) Zbl 1524.65871 Comput. Math. Appl. 97, 175-206 (2021). MSC: 65N30 65N12 65N15 35J25 65K10 49M41 PDFBibTeX XMLCite \textit{D. Yang} and \textit{Y. He}, Comput. Math. Appl. 97, 175--206 (2021; Zbl 1524.65871) Full Text: DOI arXiv
Kim, Mi-Young Arbitrary order DG-DGLM method for hyperbolic systems of multi-dimensional conservation laws. (English) Zbl 1524.65827 Comput. Math. Appl. 97, 100-121 (2021). MSC: 65N30 65M60 35L65 76M10 65M12 65M15 35D30 PDFBibTeX XMLCite \textit{M.-Y. Kim}, Comput. Math. Appl. 97, 100--121 (2021; Zbl 1524.65827) Full Text: DOI
Gantner, Gregor; Stevenson, Rob Further results on a space-time FOSLS formulation of parabolic PDEs. (English) Zbl 1470.35171 ESAIM, Math. Model. Numer. Anal. 55, No. 1, 283-299 (2021). MSC: 35K20 35K58 35K90 65M12 65M15 65M60 PDFBibTeX XMLCite \textit{G. Gantner} and \textit{R. Stevenson}, ESAIM, Math. Model. Numer. Anal. 55, No. 1, 283--299 (2021; Zbl 1470.35171) Full Text: DOI arXiv
Kang, Hao; Ruan, Shigui Mathematical analysis on an age-structured SIS epidemic model with nonlocal diffusion. (English) Zbl 1473.35599 J. Math. Biol. 83, No. 1, Paper No. 5, 30 p. (2021). MSC: 35Q92 35L60 35B40 92D25 92D30 47H07 35A01 35A02 PDFBibTeX XMLCite \textit{H. Kang} and \textit{S. Ruan}, J. Math. Biol. 83, No. 1, Paper No. 5, 30 p. (2021; Zbl 1473.35599) Full Text: DOI
Carstensen, Carsten; Ma, Rui Collective marking for arbitrary order adaptive least-squares finite element methods with optimal rates. (English) Zbl 1524.65772 Comput. Math. Appl. 95, 271-281 (2021). MSC: 65N30 65N12 65N50 65N15 35J25 65K10 41A25 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{R. Ma}, Comput. Math. Appl. 95, 271--281 (2021; Zbl 1524.65772) Full Text: DOI
Führer, Thomas; Karkulik, Michael Space-time least-squares finite elements for parabolic equations. (English) Zbl 1524.65531 Comput. Math. Appl. 92, 27-36 (2021). MSC: 65M60 65M15 65N30 65M12 76M10 65K10 35K05 35K20 35Q70 65M06 65L06 PDFBibTeX XMLCite \textit{T. Führer} and \textit{M. Karkulik}, Comput. Math. Appl. 92, 27--36 (2021; Zbl 1524.65531) Full Text: DOI arXiv
Shin, Jaemin; Kim, Mi-Young \(P_0\) time/space subcell limiting DG-DGLM method for hyperbolic systems of conservation laws. (English) Zbl 1524.65595 Comput. Math. Appl. 94, 114-135 (2021). MSC: 65M60 76M10 65N30 35L65 65M12 35L60 76N10 35Q31 PDFBibTeX XMLCite \textit{J. Shin} and \textit{M.-Y. Kim}, Comput. Math. Appl. 94, 114--135 (2021; Zbl 1524.65595) Full Text: DOI
Yang, Zhanwen; Zuo, Tianqing; Chen, Zhijie Numerical analysis of linearly implicit Euler-Riemann method for nonlinear Gurtin-MacCamy model. (English) Zbl 1462.65118 Appl. Numer. Math. 163, 147-166 (2021). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M06 65M12 92C60 92D25 92D30 35Q92 PDFBibTeX XMLCite \textit{Z. Yang} et al., Appl. Numer. Math. 163, 147--166 (2021; Zbl 1462.65118) Full Text: DOI
Zhao, Lina; Chung, Eric T.; Park, Eun-Jae; Zhou, Guanyu Staggered DG method for coupling of the Stokes and Darcy-Forchheimer problems. (English) Zbl 1456.65172 SIAM J. Numer. Anal. 59, No. 1, 1-31 (2021). MSC: 65N30 65M12 76D07 76S05 35A23 35Q35 PDFBibTeX XMLCite \textit{L. Zhao} et al., SIAM J. Numer. Anal. 59, No. 1, 1--31 (2021; Zbl 1456.65172) Full Text: DOI arXiv
Cocquet, Pierre-Henri; Rakotobe, Michaël; Ramalingom, Delphine; Bastide, Alain Error analysis for the finite element approximation of the Darcy-Brinkman-Forchheimer model for porous media with mixed boundary conditions. (English) Zbl 1469.65163 J. Comput. Appl. Math. 381, Article ID 113008, 23 p. (2021). Reviewer: Vladimir Vasilyev (Belgorod) MSC: 65N30 65N15 76S05 76D05 35A01 35A02 35Q35 PDFBibTeX XMLCite \textit{P.-H. Cocquet} et al., J. Comput. Appl. Math. 381, Article ID 113008, 23 p. (2021; Zbl 1469.65163) Full Text: DOI HAL
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
Kang, Hao; Huang, Qimin; Ruan, Shigui Periodic solutions of an age-structured epidemic model with periodic infection rate. (English) Zbl 1460.35353 Commun. Pure Appl. Anal. 19, No. 10, 4955-4972 (2020). MSC: 35Q92 35C15 92D30 35B10 35A01 35A02 PDFBibTeX XMLCite \textit{H. Kang} et al., Commun. Pure Appl. Anal. 19, No. 10, 4955--4972 (2020; Zbl 1460.35353) Full Text: DOI
Jeon, Youngmok; Park, Eun-Jae A local conservative multiscale method for elliptic problems with oscillating coefficients. (English) Zbl 1453.65409 J. Korean Soc. Ind. Appl. Math. 24, No. 2, 215-227 (2020). MSC: 65N30 35B27 74Q15 PDFBibTeX XMLCite \textit{Y. Jeon} and \textit{E.-J. Park}, J. Korean Soc. Ind. Appl. Math. 24, No. 2, 215--227 (2020; Zbl 1453.65409) Full Text: DOI
Valseth, Eirik; Romkes, Albert Goal-oriented error estimation for the automatic variationally stable FE method for convection-dominated diffusion problems. (English) Zbl 1524.65863 Comput. Math. Appl. 80, No. 12, 3027-3043 (2020). MSC: 65N30 65N15 76M10 35J25 PDFBibTeX XMLCite \textit{E. Valseth} and \textit{A. Romkes}, Comput. Math. Appl. 80, No. 12, 3027--3043 (2020; Zbl 1524.65863) Full Text: DOI arXiv
Zhao, Lina; Park, Eun-Jae; Chung, Eric T. Staggered discontinuous Galerkin methods for the Helmholtz equation with large wave number. (English) Zbl 1524.65882 Comput. Math. Appl. 80, No. 12, 2676-2690 (2020). MSC: 65N30 65N15 65N12 35J05 76M10 78A40 35Q60 65N50 78M10 76Q05 PDFBibTeX XMLCite \textit{L. Zhao} et al., Comput. Math. Appl. 80, No. 12, 2676--2690 (2020; Zbl 1524.65882) Full Text: DOI arXiv
Su, Qiuyi; Ruan, Shigui Existence of periodic solutions in abstract semilinear equations and applications to biological models. (English) Zbl 1450.35026 J. Differ. Equations 269, No. 12, 11020-11061 (2020). MSC: 35B10 35K90 35L90 35L60 35Q92 37L05 47J35 47D06 PDFBibTeX XMLCite \textit{Q. Su} and \textit{S. Ruan}, J. Differ. Equations 269, No. 12, 11020--11061 (2020; Zbl 1450.35026) Full Text: DOI
Arshad, Muhammad A priori error estimates of multiblock mortar expanded mixed method for elliptic problems. (English) Zbl 1446.65157 Appl. Numer. Math. 157, 670-686 (2020). MSC: 65N30 65N55 65N12 65N15 35J15 PDFBibTeX XMLCite \textit{M. Arshad}, Appl. Numer. Math. 157, 670--686 (2020; Zbl 1446.65157) Full Text: DOI
Zhao, Lina; Park, Eun-Jae A staggered cell-centered DG method for linear elasticity on polygonal meshes. (English) Zbl 1447.65169 SIAM J. Sci. Comput. 42, No. 4, A2158-A2181 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N08 65N50 65N12 65N15 74B10 35Q74 PDFBibTeX XMLCite \textit{L. Zhao} and \textit{E.-J. Park}, SIAM J. Sci. Comput. 42, No. 4, A2158--A2181 (2020; Zbl 1447.65169) Full Text: DOI
Sayari, Sayed; Zaghdani, Abdelhamid; El Hajji, Miled Analysis of HDG method for the reaction-diffusion equations. (English) Zbl 1442.65395 Appl. Numer. Math. 156, 396-409 (2020). MSC: 65N30 65N12 65N15 35J15 PDFBibTeX XMLCite \textit{S. Sayari} et al., Appl. Numer. Math. 156, 396--409 (2020; Zbl 1442.65395) Full Text: DOI
Zhao, Lina; Chung, Eric; Lam, Ming Fai A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits. (English) Zbl 1442.76076 Comput. Methods Appl. Mech. Eng. 364, Article ID 112986, 18 p. (2020). MSC: 76M10 65N30 35Q35 76D07 76S05 PDFBibTeX XMLCite \textit{L. Zhao} et al., Comput. Methods Appl. Mech. Eng. 364, Article ID 112986, 18 p. (2020; Zbl 1442.76076) Full Text: DOI arXiv
Jeon, Youngmok; Tran, Mai Lan Numerical analysis of interface hybrid difference methods for elliptic interface equations. (English) Zbl 1437.65161 J. Comput. Appl. Math. 377, Article ID 112869, 14 p. (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65N06 65N50 65N12 35J15 PDFBibTeX XMLCite \textit{Y. Jeon} and \textit{M. L. Tran}, J. Comput. Appl. Math. 377, Article ID 112869, 14 p. (2020; Zbl 1437.65161) 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
Yang, Huaijun; Shi, Dongyang Superconvergence analysis of the lowest order rectangular Raviart-Thomas element for semilinear parabolic equation. (English) Zbl 1437.65205 Appl. Math. Lett. 105, Article ID 106280, 9 p. (2020). MSC: 65N30 65M06 65M12 35J61 PDFBibTeX XMLCite \textit{H. Yang} and \textit{D. Shi}, Appl. Math. Lett. 105, Article ID 106280, 9 p. (2020; Zbl 1437.65205) Full Text: DOI
Zhao, Yong-Liang; Zhu, Pei-Yong; Gu, Xian-Ming; Zhao, Xi-Le; Jian, Huan-Yan A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation. (English) Zbl 1435.65135 J. Sci. Comput. 83, No. 1, Paper No. 10, 27 p. (2020). MSC: 65M06 65H10 65F08 65F10 15B05 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{Y.-L. Zhao} et al., J. Sci. Comput. 83, No. 1, Paper No. 10, 27 p. (2020; Zbl 1435.65135) Full Text: DOI arXiv
Kieu, Thinh Existence of a solution for generalized Forchheimer flow in porous media with minimal regularity conditions. (English) Zbl 1432.76257 J. Math. Phys. 61, No. 1, 013507, 21 p. (2020). MSC: 76S05 35F20 35F30 35A01 39A12 PDFBibTeX XMLCite \textit{T. Kieu}, J. Math. Phys. 61, No. 1, 013507, 21 p. (2020; Zbl 1432.76257) 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
Zhao, Lina; Park, Eun-Jae A new hybrid staggered discontinuous Galerkin method on general meshes. (English) Zbl 1448.65252 J. Sci. Comput. 82, No. 1, Paper No. 12, 33 p. (2020). MSC: 65N30 35J15 65N15 PDFBibTeX XMLCite \textit{L. Zhao} and \textit{E.-J. Park}, J. Sci. Comput. 82, No. 1, Paper No. 12, 33 p. (2020; Zbl 1448.65252) Full Text: DOI
Sharma, Nisha; Khebchareon, Morrakot; Pani, Amiya K. A priori error estimates of expanded mixed FEM for Kirchhoff type parabolic equation. (English) Zbl 1434.65274 Numer. Algorithms 83, No. 1, 125-147 (2020). MSC: 65N30 65M60 65M06 35K55 65M15 35B45 PDFBibTeX XMLCite \textit{N. Sharma} et al., Numer. Algorithms 83, No. 1, 125--147 (2020; Zbl 1434.65274) Full Text: DOI
Arshad, Muhammad; Park, Eun-Jae Multiscale mortar expanded mixed discretization of nonlinear elliptic problems. (English) Zbl 1433.65330 Appl. Math. Comput. 371, Article ID 124932, 23 p. (2020). MSC: 65N55 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{M. Arshad} and \textit{E.-J. Park}, Appl. Math. Comput. 371, Article ID 124932, 23 p. (2020; Zbl 1433.65330) Full Text: DOI
Storn, Johannes Computation of the LBB constant for the Stokes equation with a least-squares finite element method. (English) Zbl 1437.76024 SIAM J. Numer. Anal. 58, No. 1, 86-108 (2020). Reviewer: Noureddine Daili (Sétif) MSC: 76M10 76D07 65N12 65N25 65N30 35Q30 PDFBibTeX XMLCite \textit{J. Storn}, SIAM J. Numer. Anal. 58, No. 1, 86--108 (2020; Zbl 1437.76024) Full Text: DOI
Jeon, Youngmok The Crank-Nicolson hybrid difference method for the time wave equation on exterior domains with the discrete radial absorbing boundary condition. (English) Zbl 1524.65551 Wave Motion 86, 32-43 (2019). MSC: 65M60 65M06 35L20 65M50 PDFBibTeX XMLCite \textit{Y. Jeon}, Wave Motion 86, 32--43 (2019; Zbl 1524.65551) Full Text: DOI
Hegoburu, Nicolas Time optimal internal controls for the Lotka-McKendrick equation with spatial diffusion. (English) Zbl 1441.92036 Math. Control Relat. Fields 9, No. 4, 697-718 (2019). MSC: 92D25 93B05 49J30 35Q92 PDFBibTeX XMLCite \textit{N. Hegoburu}, Math. Control Relat. Fields 9, No. 4, 697--718 (2019; Zbl 1441.92036) Full Text: DOI
Andersson, Jonathan; Kozlov, Vladimir A.; Tkachev, Vladimir G.; Radosavljevic, Sonja; Wennergren, Uno Density-dependent feedback in age-structured populations. (English. Russian original) Zbl 1428.92085 J. Math. Sci., New York 242, No. 1, 2-24 (2019); translation from Probl. Mat. Anal. 98, 3-22 (2019). MSC: 92D25 35B35 35Q92 PDFBibTeX XMLCite \textit{J. Andersson} et al., J. Math. Sci., New York 242, No. 1, 2--24 (2019; Zbl 1428.92085); translation from Probl. Mat. Anal. 98, 3--22 (2019) Full Text: DOI arXiv Link
Augeraud-Véron, Emmanuelle; Boucekkine, Raouf; Veliov, Vladimir M. Distributed optimal control models in environmental economics: a review. (English) Zbl 1457.91282 Math. Model. Nat. Phenom. 14, No. 1, Paper No. 106, 14 p. (2019). MSC: 91B76 35Q91 49J15 PDFBibTeX XMLCite \textit{E. Augeraud-Véron} et al., Math. Model. Nat. Phenom. 14, No. 1, Paper No. 106, 14 p. (2019; Zbl 1457.91282) Full Text: DOI
Cockburn, Bernardo; Singler, John R.; Zhang, Yangwen Interpolatory HDG method for parabolic semilinear PDEs. (English) Zbl 1422.65252 J. Sci. Comput. 79, No. 3, 1777-1800 (2019). MSC: 65M60 35K58 65H10 PDFBibTeX XMLCite \textit{B. Cockburn} et al., J. Sci. Comput. 79, No. 3, 1777--1800 (2019; Zbl 1422.65252) Full Text: DOI arXiv
Liu, Rong; Liu, Guirong Optimal contraception control for a nonlinear vermin population model with size-structure. (English) Zbl 1417.49024 Appl. Math. Optim. 79, No. 2, 231-256 (2019). MSC: 49K20 49K15 35F50 92D25 PDFBibTeX XMLCite \textit{R. Liu} and \textit{G. Liu}, Appl. Math. Optim. 79, No. 2, 231--256 (2019; Zbl 1417.49024) Full Text: DOI
Kim, Mi-Young; Shin, Dong-Wook A high order discontinuous Galerkin method with Lagrange multipliers for second-order elliptic problems. (English) Zbl 1404.65269 Appl. Numer. Math. 135, 47-68 (2019). MSC: 65N30 35J15 65N15 65F10 PDFBibTeX XMLCite \textit{M.-Y. Kim} and \textit{D.-W. Shin}, Appl. Numer. Math. 135, 47--68 (2019; Zbl 1404.65269) Full Text: DOI
Zhang, Houchao; Wang, An A new approach of superconvergence analysis of a low order nonconforming MFEM for reaction-diffusion equation. (English) Zbl 1499.65546 Bound. Value Probl. 2018, Paper No. 169, 20 p. (2018). MSC: 65M60 35K57 65M15 65M12 65N30 65M06 35K91 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{A. Wang}, Bound. Value Probl. 2018, Paper No. 169, 20 p. (2018; Zbl 1499.65546) Full Text: DOI
Ahn, Jeongho; Lee, Seulip; Park, Eun-Jae \( \mathcal{C}^0\) interior penalty methods for a dynamic nonlinear beam model. (English) Zbl 1428.74111 Appl. Math. Comput. 339, 685-700 (2018). MSC: 74K10 74S05 65M60 35L75 35Q74 65M22 PDFBibTeX XMLCite \textit{J. Ahn} et al., Appl. Math. Comput. 339, 685--700 (2018; Zbl 1428.74111) Full Text: DOI
Kim, Mi-Young High order DG-DGLM method for hyperbolic conservation laws. (English) Zbl 1419.65065 Comput. Math. Appl. 75, No. 12, 4458-4489 (2018). MSC: 65M60 65M12 35L65 65M15 65L06 PDFBibTeX XMLCite \textit{M.-Y. Kim}, Comput. Math. Appl. 75, No. 12, 4458--4489 (2018; Zbl 1419.65065) Full Text: DOI
Zhao, Lina; Park, Eun-Jae Fully computable bounds for a staggered discontinuous Galerkin method for the Stokes equations. (English) Zbl 1419.65129 Comput. Math. Appl. 75, No. 11, 4115-4134 (2018). MSC: 65N30 35Q35 65N15 76D07 65K10 PDFBibTeX XMLCite \textit{L. Zhao} and \textit{E.-J. Park}, Comput. Math. Appl. 75, No. 11, 4115--4134 (2018; Zbl 1419.65129) Full Text: DOI
Arshad, Muhammad; Park, Eun-Jae; Shin, Dong-wook Analysis of multiscale mortar mixed approximation of nonlinear elliptic equations. (English) Zbl 1409.65106 Comput. Math. Appl. 75, No. 2, 401-418 (2018). MSC: 65N55 65N12 65N15 35J57 35Q35 PDFBibTeX XMLCite \textit{M. Arshad} et al., Comput. Math. Appl. 75, No. 2, 401--418 (2018; Zbl 1409.65106) Full Text: DOI
Kuniya, Toshikazu; Inaba, Hisashi; Yang, Junyuan Global behavior of SIS epidemic models with age structure and spatial heterogeneity. (English) Zbl 1406.35433 Japan J. Ind. Appl. Math. 35, No. 2, 669-706 (2018). MSC: 35Q92 37N25 46N60 92D30 PDFBibTeX XMLCite \textit{T. Kuniya} et al., Japan J. Ind. Appl. Math. 35, No. 2, 669--706 (2018; Zbl 1406.35433) Full Text: DOI
Gao, Huadong; Qiu, Weifeng Error analysis of mixed finite element methods for nonlinear parabolic equations. (English) Zbl 1406.35223 J. Sci. Comput. 77, No. 3, 1660-1678 (2018). MSC: 35Q30 65M60 65N30 35J15 35K55 65N15 PDFBibTeX XMLCite \textit{H. Gao} and \textit{W. Qiu}, J. Sci. Comput. 77, No. 3, 1660--1678 (2018; Zbl 1406.35223) Full Text: DOI arXiv
Sharma, Nisha; Pani, Amiya K.; Sharma, Kapil K. Expanded mixed FEM with lowest order RT elements for nonlinear and nonlocal parabolic problems. (English) Zbl 1404.65181 Adv. Comput. Math. 44, No. 5, 1537-1571 (2018). MSC: 65M60 35K55 45K05 65M06 PDFBibTeX XMLCite \textit{N. Sharma} et al., Adv. Comput. Math. 44, No. 5, 1537--1571 (2018; Zbl 1404.65181) Full Text: DOI
Eisenmann, Monika; Hansen, Eskil Convergence analysis of domain decomposition based time integrators for degenerate parabolic equations. (English) Zbl 1402.65107 Numer. Math. 140, No. 4, 913-938 (2018). MSC: 65M55 65M12 35K65 65J08 76S05 PDFBibTeX XMLCite \textit{M. Eisenmann} and \textit{E. Hansen}, Numer. Math. 140, No. 4, 913--938 (2018; Zbl 1402.65107) Full Text: DOI arXiv
Brauss, K. D.; Meir, A. J. On a parallel, 3-dimensional, finite element solver for viscous, resistive, stationary magnetohydrodynamics equations: velocity-current formulation. (English) Zbl 1395.76038 Appl. Numer. Math. 133, 130-143 (2018). MSC: 76M10 65Y05 65M60 76W05 35Q35 PDFBibTeX XMLCite \textit{K. D. Brauss} and \textit{A. J. Meir}, Appl. Numer. Math. 133, 130--143 (2018; Zbl 1395.76038) Full Text: DOI
Rekatsinas, Nikolaos; Stevenson, Rob An optimal adaptive wavelet method for first order system least squares. (English) Zbl 1403.65141 Numer. Math. 140, No. 1, 191-237 (2018). Reviewer: Manfred Tasche (Rostock) MSC: 65N30 65J15 65T60 35J25 35Q30 35J61 76D05 PDFBibTeX XMLCite \textit{N. Rekatsinas} and \textit{R. Stevenson}, Numer. Math. 140, No. 1, 191--237 (2018; Zbl 1403.65141) Full Text: DOI arXiv
Celik, Emine; Hoang, Luan; Kieu, Thinh Doubly nonlinear parabolic equations for a general class of Forchheimer gas flows in porous media. (English) Zbl 1391.76716 Nonlinearity 31, No. 8, 3617-3650 (2018). MSC: 76S05 35Q35 35B45 35K20 35K55 35K65 35K67 PDFBibTeX XMLCite \textit{E. Celik} et al., Nonlinearity 31, No. 8, 3617--3650 (2018; Zbl 1391.76716) Full Text: DOI arXiv
Chung, Eric T.; Park, Eun-Jae; Zhao, Lina Guaranteed a posteriori error estimates for a staggered discontinuous Galerkin method. (English) Zbl 1393.65028 J. Sci. Comput. 75, No. 2, 1079-1101 (2018). MSC: 65M60 65M15 35J15 PDFBibTeX XMLCite \textit{E. T. Chung} et al., J. Sci. Comput. 75, No. 2, 1079--1101 (2018; Zbl 1393.65028) Full Text: DOI
Celik, Emine; Hoang, Luan; Kieu, Thinh Generalized Forchheimer flows of isentropic gases. (English) Zbl 1394.76111 J. Math. Fluid Mech. 20, No. 1, 83-115 (2018). MSC: 76N15 76S05 35Q35 PDFBibTeX XMLCite \textit{E. Celik} et al., J. Math. Fluid Mech. 20, No. 1, 83--115 (2018; Zbl 1394.76111) Full Text: DOI arXiv