Li, Jiaqi; Demkowicz, Leszek An \(L^p\)-DPG method with application to 2D convection-diffusion problems. (English) Zbl 07566799 Comput. Methods Appl. Math. 22, No. 3, 649-662 (2022). MSC: 65N30 PDF BibTeX XML Cite \textit{J. Li} and \textit{L. Demkowicz}, Comput. Methods Appl. Math. 22, No. 3, 649--662 (2022; Zbl 07566799) Full Text: DOI OpenURL
Leng, Yu; Tian, Xiaochuan; Demkowicz, Leszek; Gomez, Hector; Foster, John T. A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems. (English) Zbl 07517745 J. Comput. Phys. 452, Article ID 110919, 24 p. (2022). MSC: 65Nxx 65Mxx 76Mxx PDF BibTeX XML Cite \textit{Y. Leng} et al., J. Comput. Phys. 452, Article ID 110919, 24 p. (2022; Zbl 07517745) Full Text: DOI OpenURL
Khouya, Bassou; El-Amrani, Mofdi; Seaid, Mohammed A conservative and monotone characteristic finite element solver for three-dimensional transport and incompressible Navier-Stokes equations on unstructured grids. (English) Zbl 1482.65182 Commun. Comput. Phys. 31, No. 1, 224-256 (2022). MSC: 65M60 65M12 65M25 76D05 PDF BibTeX XML Cite \textit{B. Khouya} et al., Commun. Comput. Phys. 31, No. 1, 224--256 (2022; Zbl 1482.65182) Full Text: DOI OpenURL
Liu, Xiaomin; Abbas, Muhammad; Yang, Honghong; Qin, Xinqiang; Nazir, Tahir Novel finite point approach for solving time-fractional convection-dominated diffusion equations. (English) Zbl 1485.35398 Adv. Difference Equ. 2021, Paper No. 4, 22 p. (2021). MSC: 35R11 65M06 26A33 65M12 65M70 PDF BibTeX XML Cite \textit{X. Liu} et al., Adv. Difference Equ. 2021, Paper No. 4, 22 p. (2021; Zbl 1485.35398) Full Text: DOI OpenURL
da Veiga, Lourenco Beirão; Dassi, Franco; Lovadina, Carlo; Vacca, Giuseppe SUPG-stabilized virtual elements for diffusion-convection problems: a robustness analysis. (English) Zbl 07477244 ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2233-2258 (2021). MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{L. B. da Veiga} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2233--2258 (2021; Zbl 07477244) Full Text: DOI arXiv OpenURL
Beirão da Veiga, L.; Dassi, F.; Vacca, G. Vorticity-stabilized virtual elements for the Oseen equation. (English) Zbl 1480.65329 Math. Models Methods Appl. Sci. 31, No. 14, 3009-3052 (2021). MSC: 65N30 76D05 PDF BibTeX XML Cite \textit{L. Beirão da Veiga} et al., Math. Models Methods Appl. Sci. 31, No. 14, 3009--3052 (2021; Zbl 1480.65329) Full Text: DOI OpenURL
García-Archilla, Bosco; John, Volker; Novo, Julia On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows. (English) Zbl 07415678 Comput. Methods Appl. Mech. Eng. 385, Article ID 114032, 54 p. (2021). MSC: 65M60 76D05 PDF BibTeX XML Cite \textit{B. García-Archilla} et al., Comput. Methods Appl. Mech. Eng. 385, Article ID 114032, 54 p. (2021; Zbl 07415678) Full Text: DOI OpenURL
Khouya, Bassou; El-Amrani, Mofdi; Seaid, Mohammed A Galerkin-characteristic finite element method for three-dimensional convection-dominated problems. (English) Zbl 07409126 Adv. Appl. Math. Mech. 13, No. 3, 503-526 (2021). MSC: 65M60 65N30 76D33 65M25 65M12 76W05 76M10 PDF BibTeX XML Cite \textit{B. Khouya} et al., Adv. Appl. Math. Mech. 13, No. 3, 503--526 (2021; Zbl 07409126) Full Text: DOI OpenURL
Zhang, Xueying; Ran, Luyu Upwind strategy for localized method of approximate particular solutions with applications to convection dominated diffusion problems. (English) Zbl 07409123 Adv. Appl. Math. Mech. 13, No. 2, 455-466 (2021). MSC: 65M70 35L03 65D12 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{L. Ran}, Adv. Appl. Math. Mech. 13, No. 2, 455--466 (2021; Zbl 07409123) Full Text: DOI OpenURL
Frerichs, Derk; John, Volker On reducing spurious oscillations in discontinuous Galerkin (DG) methods for steady-state convection-diffusion equations. (English) Zbl 1468.65188 J. Comput. Appl. Math. 393, Article ID 113487, 20 p. (2021). MSC: 65N30 35Q49 PDF BibTeX XML Cite \textit{D. Frerichs} and \textit{V. John}, J. Comput. Appl. Math. 393, Article ID 113487, 20 p. (2021; Zbl 1468.65188) Full Text: DOI OpenURL
Guo, Wei; Nie, Yufeng; Zhang, Weiwei; Hu, Xiaoqin Anisotropic mesh adaptation for steady convection-dominated problems based on bubble-type local mesh generation. (English) Zbl 1480.65361 Int. J. Comput. Math. 97, No. 5, 980-997 (2020). MSC: 65N50 65N30 PDF BibTeX XML Cite \textit{W. Guo} et al., Int. J. Comput. Math. 97, No. 5, 980--997 (2020; Zbl 1480.65361) Full Text: DOI OpenURL
Li, Yuxia; Xie, Cong; Feng, Xinlong Streamline diffusion virtual element method for convection-dominated diffusion problems. (English) Zbl 1468.65199 East Asian J. Appl. Math. 10, No. 1, 158-180 (2020). MSC: 65N30 65N12 65N15 76R50 PDF BibTeX XML Cite \textit{Y. Li} et al., East Asian J. Appl. Math. 10, No. 1, 158--180 (2020; Zbl 1468.65199) Full Text: DOI OpenURL
Erath, Christoph; Schorr, Robert Stable non-symmetric coupling of the finite volume method and the boundary element method for convection-dominated parabolic-elliptic interface problems. (English) Zbl 1436.65164 Comput. Methods Appl. Math. 20, No. 2, 251-272 (2020). MSC: 65N08 65N38 65N40 65N12 65N15 65M06 65N30 65M12 65M15 35B45 82B24 PDF BibTeX XML Cite \textit{C. Erath} and \textit{R. Schorr}, Comput. Methods Appl. Math. 20, No. 2, 251--272 (2020; Zbl 1436.65164) Full Text: DOI arXiv OpenURL
Oruç, Ömer A non-uniform Haar wavelet method for numerically solving two-dimensional convection-dominated equations and two-dimensional near singular elliptic equations. (English) Zbl 1442.65407 Comput. Math. Appl. 77, No. 7, 1799-1820 (2019). MSC: 65N35 65T60 35B25 35J25 42C40 PDF BibTeX XML Cite \textit{Ö. Oruç}, Comput. Math. Appl. 77, No. 7, 1799--1820 (2019; Zbl 1442.65407) Full Text: DOI OpenURL
Guo, Wei; Zhang, Weiwei; Nie, Yufeng A new adaptive mesh refinement method for convection-dominated problems. (Chinese. English summary) Zbl 1449.65234 Chin. J. Comput. Mech. 36, No. 5, 583-589 (2019). MSC: 65M50 65M15 65M60 PDF BibTeX XML Cite \textit{W. Guo} et al., Chin. J. Comput. Mech. 36, No. 5, 583--589 (2019; Zbl 1449.65234) Full Text: DOI OpenURL
Bustinza, Rommel; Lombardi, Ariel L.; Solano, Manuel An anisotropic a priori error analysis for a convection-dominated diffusion problem using the HDG method. (English) Zbl 1440.65186 Comput. Methods Appl. Mech. Eng. 345, 382-401 (2019). MSC: 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{R. Bustinza} et al., Comput. Methods Appl. Mech. Eng. 345, 382--401 (2019; Zbl 1440.65186) Full Text: DOI OpenURL
Sokolov, Andriy; Davydov, Oleg; Kuzmin, Dmitri; Westermann, Alexander; Turek, Stefan A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds. (English) Zbl 1447.65030 J. Numer. Math. 27, No. 4, 253-269 (2019). Reviewer: Martin D. Buhmann (Gießen) MSC: 65M06 65M70 65M12 65D05 76R50 PDF BibTeX XML Cite \textit{A. Sokolov} et al., J. Numer. Math. 27, No. 4, 253--269 (2019; Zbl 1447.65030) Full Text: DOI Link OpenURL
Bruchhäuser, Marius Paul; Schwegler, Kristina; Bause, Markus Numerical study of goal-oriented error control for stabilized finite element methods. (English) Zbl 1433.65280 Apel, Thomas (ed.) et al., Advanced finite element methods with applications. Selected papers from the 30th Chemnitz finite element symposium, St. Wolfgang/Strobl, Austria, September 25–27, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 128, 85-106 (2019). MSC: 65N30 65N15 65N12 65N50 76R99 PDF BibTeX XML Cite \textit{M. P. Bruchhäuser} et al., Lect. Notes Comput. Sci. Eng. 128, 85--106 (2019; Zbl 1433.65280) Full Text: DOI arXiv OpenURL
Kim, Yonchol; Yun, Nam; Chai, Dongho A nearly analytic discrete method for one-dimensional unsteady convection-dominated diffusion equations. (English) Zbl 1449.65290 Commun. Math. Res. 35, No. 3, 193-207 (2019). MSC: 65M99 65M12 65M22 35Q53 PDF BibTeX XML Cite \textit{Y. Kim} et al., Commun. Math. Res. 35, No. 3, 193--207 (2019; Zbl 1449.65290) Full Text: DOI OpenURL
Knobloch, Petr; Lukáš, Petr; Solin, Pavel On error indicators for optimizing parameters in stabilized methods. (English) Zbl 1426.65178 Adv. Comput. Math. 45, No. 4, 1853-1862 (2019). MSC: 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{P. Knobloch} et al., Adv. Comput. Math. 45, No. 4, 1853--1862 (2019; Zbl 1426.65178) Full Text: DOI OpenURL
Chen, Gang; Singler, John R.; Zhang, Yangwen An HDG method for Dirichlet boundary control of convection dominated diffusion PDEs. (English) Zbl 1422.49004 SIAM J. Numer. Anal. 57, No. 4, 1919-1946 (2019). MSC: 49J20 65M60 49M25 PDF BibTeX XML Cite \textit{G. Chen} et al., SIAM J. Numer. Anal. 57, No. 4, 1919--1946 (2019; Zbl 1422.49004) Full Text: DOI arXiv OpenURL
Xue, Guanyu; Feng, Hui New parallel algorithm for convection-dominated diffusion equation. (English) Zbl 1468.65116 East Asian J. Appl. Math. 8, No. 2, 261-279 (2018). MSC: 65M06 65M12 65M15 65Y05 PDF BibTeX XML Cite \textit{G. Xue} and \textit{H. Feng}, East Asian J. Appl. Math. 8, No. 2, 261--279 (2018; Zbl 1468.65116) Full Text: DOI Link OpenURL
Matculevich, Svetlana; Wolfmayr, Monika On the a posteriori error analysis for linear Fokker-Planck models in convection-dominated diffusion problems. (English) Zbl 1428.82048 Appl. Math. Comput. 339, 779-804 (2018). MSC: 82C31 82M10 82M99 65N30 65N15 PDF BibTeX XML Cite \textit{S. Matculevich} and \textit{M. Wolfmayr}, Appl. Math. Comput. 339, 779--804 (2018; Zbl 1428.82048) Full Text: DOI arXiv OpenURL
Codina, Ramon On hp convergence of stabilized finite element methods for the convection-diffusion equation. (English) Zbl 1422.65380 S\(\vec{\text{e}}\)MA J. 75, No. 4, 591-606 (2018). MSC: 65N30 65N12 76R50 35Q35 PDF BibTeX XML Cite \textit{R. Codina}, S\(\vec{\text{e}}\)MA J. 75, No. 4, 591--606 (2018; Zbl 1422.65380) Full Text: DOI OpenURL
Li, Guanglian; Peterseim, Daniel; Schedensack, Mira Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in two dimensions. (English) Zbl 1477.65228 IMA J. Numer. Anal. 38, No. 3, 1229-1253 (2018). MSC: 65N30 65N12 PDF BibTeX XML Cite \textit{G. Li} et al., IMA J. Numer. Anal. 38, No. 3, 1229--1253 (2018; Zbl 1477.65228) Full Text: DOI arXiv OpenURL
Behera, Ratikanta; Mehra, Mani An adaptive wavelet collocation method for solution of the convection-dominated problem on a sphere. (English) Zbl 1404.65190 Int. J. Comput. Methods 15, No. 8, Article ID 1850080, 18 p. (2018). MSC: 65M70 65T60 PDF BibTeX XML Cite \textit{R. Behera} and \textit{M. Mehra}, Int. J. Comput. Methods 15, No. 8, Article ID 1850080, 18 p. (2018; Zbl 1404.65190) Full Text: DOI OpenURL
Kröner, Dietmar; Rokyta, Mirko Error estimates for higher-order finite volume schemes for convection-diffusion problems. (English) Zbl 1432.76176 J. Numer. Math. 26, No. 1, 35-62 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 76M12 65M08 35J25 65M15 65N15 35K57 35Q35 PDF BibTeX XML Cite \textit{D. Kröner} and \textit{M. Rokyta}, J. Numer. Math. 26, No. 1, 35--62 (2018; Zbl 1432.76176) Full Text: DOI OpenURL
Siraj-ul-Islam; Ahmad, Imtiaz Local meshless method for PDEs arising from models of wound healing. (English) Zbl 1480.65292 Appl. Math. Modelling 48, 688-710 (2017). MSC: 65M70 92C50 PDF BibTeX XML Cite \textit{Siraj-ul-Islam} and \textit{I. Ahmad}, Appl. Math. Modelling 48, 688--710 (2017; Zbl 1480.65292) Full Text: DOI OpenURL
Gao, Lei; Xie, Fuji Uniform estimate for characteristics-mixed finite element method for two-dimensional advection-dominated transport problems. (English) Zbl 1422.65255 Adv. Difference Equ. 2017, Paper No. 260, 14 p. (2017). MSC: 65M60 65M15 65M25 65M12 35K15 PDF BibTeX XML Cite \textit{L. Gao} and \textit{F. Xie}, Adv. Difference Equ. 2017, Paper No. 260, 14 p. (2017; Zbl 1422.65255) Full Text: DOI OpenURL
Zhang, Tao; Li, Xiaolin A variational multiscale interpolating element-free Galerkin method for convection-diffusion and Stokes problems. (English) Zbl 1403.76053 Eng. Anal. Bound. Elem. 82, 185-193 (2017). MSC: 76M10 65N30 76D07 PDF BibTeX XML Cite \textit{T. Zhang} and \textit{X. Li}, Eng. Anal. Bound. Elem. 82, 185--193 (2017; Zbl 1403.76053) Full Text: DOI OpenURL
Zhang, Baiju; Li, Hui Velocity projection-based stabilized finite element method for steady Navier-Stokes equations using equal order interpolation. (Chinese. English summary) Zbl 1399.65274 J. Sichuan Univ., Nat. Sci. Ed. 54, No. 2, 231-238 (2017). MSC: 65M60 65M12 65M15 76D05 76E05 35Q30 PDF BibTeX XML Cite \textit{B. Zhang} and \textit{H. Li}, J. Sichuan Univ., Nat. Sci. Ed. 54, No. 2, 231--238 (2017; Zbl 1399.65274) Full Text: DOI OpenURL
Hou, Thomas Y.; Hwang, Feng-Nan; Liu, Pengfei; Yao, Chien-Chou An iteratively adaptive multi-scale finite element method for elliptic PDEs with rough coefficients. (English) Zbl 1380.65268 J. Comput. Phys. 336, 375-400 (2017). MSC: 65M60 35J47 PDF BibTeX XML Cite \textit{T. Y. Hou} et al., J. Comput. Phys. 336, 375--400 (2017; Zbl 1380.65268) Full Text: DOI OpenURL
Shu, Chi-Wang A brief survey on high order numerical methods for convection dominated problems. (English) Zbl 1380.65182 Lin, Chang-Shou (ed.) et al., Proceedings of the sixth international congress of Chinese mathematicians, ICCM 2013, Taipei, Taiwan, July 14–19, 2013. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-348-7/pbk; 978-1-57146-350-0/set). Advanced Lectures in Mathematics (ALM) 36, 119-133 (2017). MSC: 65M06 65M60 65M70 PDF BibTeX XML Cite \textit{C.-W. Shu}, Adv. Lect. Math. (ALM) 36, 119--133 (2017; Zbl 1380.65182) OpenURL
Giere, Swetlana; John, Volker Towards physically admissible reduced-order solutions for convection-diffusion problems. (English) Zbl 1377.65121 Appl. Math. Lett. 73, 78-83 (2017). MSC: 65M32 35R30 35K20 PDF BibTeX XML Cite \textit{S. Giere} and \textit{V. John}, Appl. Math. Lett. 73, 78--83 (2017; Zbl 1377.65121) Full Text: DOI OpenURL
Zhao, Zhihui; Li, Hong; Luo, Zhendong Analysis of a space-time continuous Galerkin method for convection-dominated Sobolev equations. (English) Zbl 1372.65277 Comput. Math. Appl. 73, No. 8, 1643-1656 (2017). MSC: 65M60 65M12 35G16 PDF BibTeX XML Cite \textit{Z. Zhao} et al., Comput. Math. Appl. 73, No. 8, 1643--1656 (2017; Zbl 1372.65277) Full Text: DOI OpenURL
Erath, Christoph; Schorr, Robert An adaptive nonsymmetric finite volume and boundary element coupling method for a fluid mechanics interface problem. (English) Zbl 1365.65237 SIAM J. Sci. Comput. 39, No. 3, A741-A760 (2017). MSC: 65N08 65N38 65N15 65N50 76M12 76M15 PDF BibTeX XML Cite \textit{C. Erath} and \textit{R. Schorr}, SIAM J. Sci. Comput. 39, No. 3, A741--A760 (2017; Zbl 1365.65237) Full Text: DOI arXiv OpenURL
Li, Xiaoli; Rui, Hongxing Characteristic block-centred finite difference methods for nonlinear convection-dominated diffusion equation. (English) Zbl 1365.65197 Int. J. Comput. Math. 94, No. 2, 386-404 (2017). MSC: 65M06 35K55 65M12 65M15 PDF BibTeX XML Cite \textit{X. Li} and \textit{H. Rui}, Int. J. Comput. Math. 94, No. 2, 386--404 (2017; Zbl 1365.65197) Full Text: DOI OpenURL
Hierro, Alba; Badia, Santiago; Kus, Pavel Shock capturing techniques for \(h p\)-adaptive finite elements. (English) Zbl 1439.74420 Comput. Methods Appl. Mech. Eng. 309, 532-553 (2016). MSC: 74S05 65N30 65N50 74A50 76M10 76L05 PDF BibTeX XML Cite \textit{A. Hierro} et al., Comput. Methods Appl. Mech. Eng. 309, 532--553 (2016; Zbl 1439.74420) Full Text: DOI OpenURL
Calo, Victor M.; Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat Multiscale stabilization for convection-dominated diffusion in heterogeneous media. (English) Zbl 1423.76215 Comput. Methods Appl. Mech. Eng. 304, 359-377 (2016). MSC: 76M10 65N30 PDF BibTeX XML Cite \textit{V. M. Calo} et al., Comput. Methods Appl. Mech. Eng. 304, 359--377 (2016; Zbl 1423.76215) Full Text: DOI arXiv OpenURL
Hillman, Michael; Chen, Jiun-Shyan Nodally integrated implicit gradient reproducing kernel particle method for convection dominated problems. (English) Zbl 1425.65112 Comput. Methods Appl. Mech. Eng. 299, 381-400 (2016). MSC: 65M60 35K20 35Q35 76M10 PDF BibTeX XML Cite \textit{M. Hillman} and \textit{J.-S. Chen}, Comput. Methods Appl. Mech. Eng. 299, 381--400 (2016; Zbl 1425.65112) Full Text: DOI OpenURL
Yun, Dong Fa; Hon, Y. C. Improved localized radial basis function collocation method for multi-dimensional convection-dominated problems. (English) Zbl 1403.65106 Eng. Anal. Bound. Elem. 67, 63-80 (2016). MSC: 65M70 PDF BibTeX XML Cite \textit{D. F. Yun} and \textit{Y. C. Hon}, Eng. Anal. Bound. Elem. 67, 63--80 (2016; Zbl 1403.65106) Full Text: DOI OpenURL
Shu, Chi-Wang Discontinuous Galerkin methods for time-dependent convection dominated problems: basics, recent developments and comparison with other methods. (English) Zbl 1357.65179 Barrenechea, Gabriel R. (ed.) et al., Building bridges: connections and challenges in modern approaches to numerical partial differential equations. Selected papers based on the presentations at the 101st LMS-EPSRC symposium, Durham, UK, July 8–16, 2014. Cham: Springer (ISBN 978-3-319-41638-0/hbk; 978-3-319-41640-3/ebook). Lecture Notes in Computational Science and Engineering 114, 371-399 (2016). MSC: 65M60 35L65 35K55 35Q53 65-02 PDF BibTeX XML Cite \textit{C.-W. Shu}, Lect. Notes Comput. Sci. Eng. 114, 371--399 (2016; Zbl 1357.65179) Full Text: DOI OpenURL
Kröner, Dietmar; Rokyta, Mirko A priori error estimates for upwind finite volume schemes for two-dimensional linear convection diffusion problems. (English) Zbl 1356.65234 Bull. Braz. Math. Soc. (N.S.) 47, No. 2, 473-488 (2016). MSC: 65N15 35J25 65N08 PDF BibTeX XML Cite \textit{D. Kröner} and \textit{M. Rokyta}, Bull. Braz. Math. Soc. (N.S.) 47, No. 2, 473--488 (2016; Zbl 1356.65234) Full Text: DOI OpenURL
Shu, Chi-Wang High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments. (English) Zbl 1349.65486 J. Comput. Phys. 316, 598-613 (2016). MSC: 65M60 65M08 65M12 PDF BibTeX XML Cite \textit{C.-W. Shu}, J. Comput. Phys. 316, 598--613 (2016; Zbl 1349.65486) Full Text: DOI OpenURL
Cotter, C. J.; Kuzmin, D. Embedded discontinuous Galerkin transport schemes with localised limiters. (English) Zbl 1349.65616 J. Comput. Phys. 311, 363-373 (2016). MSC: 65N30 86A10 PDF BibTeX XML Cite \textit{C. J. Cotter} and \textit{D. Kuzmin}, J. Comput. Phys. 311, 363--373 (2016; Zbl 1349.65616) Full Text: DOI arXiv OpenURL
Ohm, Mi Ray; Shin, Jun Yong A split least-squares characteristic mixed finite element method for the convection dominated Sobolev equations. (English) Zbl 1347.65156 J. Appl. Math. Inform. 34, No. 1-2, 19-34 (2016). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M60 65M15 65M25 35Q35 PDF BibTeX XML Cite \textit{M. R. Ohm} and \textit{J. Y. Shin}, J. Appl. Math. Inform. 34, No. 1--2, 19--34 (2016; Zbl 1347.65156) Full Text: DOI OpenURL
Yang, Pei; Xiong, Tao; Qiu, Jing-Mei; Xu, Zhengfu High order maximum principle preserving finite volume method for convection dominated problems. (English) Zbl 1350.65095 J. Sci. Comput. 67, No. 2, 795-820 (2016). Reviewer: Vasilis Dimitriou (Chania) MSC: 65M08 65M20 65L06 35B50 35K55 PDF BibTeX XML Cite \textit{P. Yang} et al., J. Sci. Comput. 67, No. 2, 795--820 (2016; Zbl 1350.65095) Full Text: DOI arXiv Link OpenURL
Wang, Cheng; He, Mingyan; Sun, Pengtao A new combined finite element-upwind finite volume method for convection-dominated diffusion problems. (English) Zbl 1339.65208 Numer. Methods Partial Differ. Equations 32, No. 3, 799-818 (2016). MSC: 65N08 35J25 65N30 65N12 PDF BibTeX XML Cite \textit{C. Wang} et al., Numer. Methods Partial Differ. Equations 32, No. 3, 799--818 (2016; Zbl 1339.65208) Full Text: DOI OpenURL
Bartels, Sören Numerical approximation of partial differential equations. (English) Zbl 1353.65089 Texts in Applied Mathematics 64. Cham: Springer (ISBN 978-3-319-32353-4/hbk; 978-3-319-32354-1/ebook). xv, 535 p. (2016). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65Mxx 65Nxx 65M06 65M60 65N06 65N22 65N30 65N50 65N55 65-02 65N08 65M08 35J25 35K05 65F08 74S05 74B05 74K20 78A25 78M10 76D05 76M10 35L05 PDF BibTeX XML Cite \textit{S. Bartels}, Numerical approximation of partial differential equations. Cham: Springer (2016; Zbl 1353.65089) Full Text: DOI OpenURL
Yücel, Hamdullah; Stoll, Martin; Benner, Peter A discontinuous Galerkin method for optimal control problems governed by a system of convection-diffusion PDEs with nonlinear reaction terms. (English) Zbl 1443.65380 Comput. Math. Appl. 70, No. 10, 2414-2431 (2015). MSC: 65N30 65N15 35Q93 49J20 49K20 49M25 PDF BibTeX XML Cite \textit{H. Yücel} et al., Comput. Math. Appl. 70, No. 10, 2414--2431 (2015; Zbl 1443.65380) Full Text: DOI OpenURL
Jannoun, G.; Hachem, E.; Veysset, J.; Coupez, T. Anisotropic meshing with time-stepping control for unsteady convection-dominated problems. (English) Zbl 1443.65205 Appl. Math. Modelling 39, No. 7, 1899-1916 (2015). MSC: 65M60 65M12 PDF BibTeX XML Cite \textit{G. Jannoun} et al., Appl. Math. Modelling 39, No. 7, 1899--1916 (2015; Zbl 1443.65205) Full Text: DOI OpenURL
Giere, Swetlana; Iliescu, Traian; John, Volker; Wells, David SUPG reduced order models for convection-dominated convection-diffusion-reaction equations. (English) Zbl 1425.65111 Comput. Methods Appl. Mech. Eng. 289, 454-474 (2015). MSC: 65M60 35K20 35K57 PDF BibTeX XML Cite \textit{S. Giere} et al., Comput. Methods Appl. Mech. Eng. 289, 454--474 (2015; Zbl 1425.65111) Full Text: DOI OpenURL
Badia, Santiago; Hierro, Alba On discrete maximum principles for discontinuous Galerkin methods. (English) Zbl 1423.76205 Comput. Methods Appl. Mech. Eng. 286, 107-122 (2015). MSC: 76M10 65N30 35B50 35J25 65N12 76L05 PDF BibTeX XML Cite \textit{S. Badia} and \textit{A. Hierro}, Comput. Methods Appl. Mech. Eng. 286, 107--122 (2015; Zbl 1423.76205) Full Text: DOI Link OpenURL
Ohm, Mi Ray; Lee, Hyun Young; Shin, Jun Yong Error estimates for fully discrete mixed discontinuous Galerkin approximations for parabolic problems. (English) Zbl 1338.65222 East Asian Math. J. 31, No. 5, 685-693 (2015). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M15 65M60 35K20 PDF BibTeX XML Cite \textit{M. R. Ohm} et al., East Asian Math. J. 31, No. 5, 685--693 (2015; Zbl 1338.65222) Full Text: DOI OpenURL
Meftah, Khouane A finite element model based on triangular mesh for convection-dominated stationary flows. (English) Zbl 1322.65108 Eur. J. Comput. Mech. 24, No. 1, 16-33 (2015). MSC: 65N30 76M10 76Rxx PDF BibTeX XML Cite \textit{K. Meftah}, Eur. J. Comput. Mech. 24, No. 1, 16--33 (2015; Zbl 1322.65108) Full Text: DOI OpenURL
He, Mingyan; Sun, Pengtao; Wang, Cheng; Huang, Ziping A two-grid combined finite element-upwind finite volume method for a nonlinear convection-dominated diffusion reaction equation. (English) Zbl 1320.65174 J. Comput. Appl. Math. 288, 223-232 (2015). MSC: 65N30 65N08 65N15 35K57 PDF BibTeX XML Cite \textit{M. He} et al., J. Comput. Appl. Math. 288, 223--232 (2015; Zbl 1320.65174) Full Text: DOI OpenURL
Sun, Yifei; Westphal, Chad R. An adaptively weighted Galerkin finite element method for boundary value problems. (English) Zbl 1312.65196 Commun. Appl. Math. Comput. Sci. 10, No. 1, 27-41 (2015). MSC: 65N30 65N12 35J20 PDF BibTeX XML Cite \textit{Y. Sun} and \textit{C. R. Westphal}, Commun. Appl. Math. Comput. Sci. 10, No. 1, 27--41 (2015; Zbl 1312.65196) Full Text: DOI OpenURL
Fu, Guosheng; Qiu, Weifeng; Zhang, Wujun An analysis of HDG methods for convection-dominated diffusion problems. (English) Zbl 1314.65142 ESAIM, Math. Model. Numer. Anal. 49, No. 1, 225-256 (2015). Reviewer: Qin Meng Zhao (Beijing) MSC: 65N15 65N30 35J47 65N12 PDF BibTeX XML Cite \textit{G. Fu} et al., ESAIM, Math. Model. Numer. Anal. 49, No. 1, 225--256 (2015; Zbl 1314.65142) Full Text: DOI arXiv Link OpenURL
Shu, Chi-Wang Discontinuous Galerkin method for time-dependent convection dominated partial differential equations. (English) Zbl 1388.65107 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. IV: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-807-0/hbk; 978-89-6105-803-2/set). 767-785 (2014). MSC: 65M60 65M20 65M12 65M15 PDF BibTeX XML Cite \textit{C.-W. Shu}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. IV: Invited lectures. Seoul: KM Kyung Moon Sa. 767--785 (2014; Zbl 1388.65107) OpenURL
Shi, Dongyang; Liao, Xin; Wang, Lele The lowest order characteristic mixed finite element scheme for convection-dominated diffusion problem. (English) Zbl 1362.65107 Comput. Math. Appl. 68, No. 7, 759-769 (2014). MSC: 65M60 76M10 35J25 65M15 35Q35 PDF BibTeX XML Cite \textit{D. Shi} et al., Comput. Math. Appl. 68, No. 7, 759--769 (2014; Zbl 1362.65107) Full Text: DOI OpenURL
Mabuza, Sibusiso; Kuzmin, Dmitri; Čanić, Sunčica; Bukač, Martina A conservative, positivity preserving scheme for reactive solute transport problems in moving domains. (English) Zbl 1349.65467 J. Comput. Phys. 276, 563-595 (2014). MSC: 65M60 76T20 76V05 82C70 PDF BibTeX XML Cite \textit{S. Mabuza} et al., J. Comput. Phys. 276, 563--595 (2014; Zbl 1349.65467) Full Text: DOI OpenURL
Lee, Wanho; Kim, Do Wan Localized axial Green’s function method for the convection-diffusion equations in arbitrary domains. (English) Zbl 1349.65688 J. Comput. Phys. 275, 390-414 (2014). MSC: 65N80 35J25 PDF BibTeX XML Cite \textit{W. Lee} and \textit{D. W. Kim}, J. Comput. Phys. 275, 390--414 (2014; Zbl 1349.65688) Full Text: DOI OpenURL
Chen, Gang; Feng, Minfu; Xie, Chunmei A new projection-based stabilized method for steady convection-dominated convection-diffusion equations. (English) Zbl 1337.65149 Appl. Math. Comput. 239, 89-106 (2014). MSC: 65N30 65N12 35K57 PDF BibTeX XML Cite \textit{G. Chen} et al., Appl. Math. Comput. 239, 89--106 (2014; Zbl 1337.65149) Full Text: DOI OpenURL
Axelsson, Owe; Karátson, János; Kovács, Balázs Robust preconditioning estimates for convection-dominated elliptic problems via a streamline Poincaré-Friedrichs inequality. (English) Zbl 1312.65182 SIAM J. Numer. Anal. 52, No. 6, 2957-2976 (2014). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65F10 65F08 35J25 65N12 PDF BibTeX XML Cite \textit{O. Axelsson} et al., SIAM J. Numer. Anal. 52, No. 6, 2957--2976 (2014; Zbl 1312.65182) Full Text: DOI Link OpenURL
Badia, Santiago; Hierro, Alba On monotonicity-preserving stabilized finite element approximations of transport problems. (English) Zbl 1312.65143 SIAM J. Sci. Comput. 36, No. 6, A2673-A2697 (2014). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M12 65M60 35L65 PDF BibTeX XML Cite \textit{S. Badia} and \textit{A. Hierro}, SIAM J. Sci. Comput. 36, No. 6, A2673--A2697 (2014; Zbl 1312.65143) Full Text: DOI Link OpenURL
Feng, Zhao; Wang, Xiaodong; Ouyang, Jie An upwind element-free Galerkin method for convection-dominated high-order nonlinear partial differential equations. (Chinese. English summary) Zbl 1313.65264 Chin. J. Eng. Math. 31, No. 2, 229-238 (2014). MSC: 65M60 35K55 65M12 PDF BibTeX XML Cite \textit{Z. Feng} et al., Chin. J. Eng. Math. 31, No. 2, 229--238 (2014; Zbl 1313.65264) Full Text: DOI OpenURL
Jung, C.-Y.; Temam, R. Boundary layer theory for convection-diffusion equations in a circle. (English. Russian original) Zbl 1307.35025 Russ. Math. Surv. 69, No. 3, 435-480 (2014); translation from Usp. Mat. Nauk 69, No. 3, 43-86 (2014). Reviewer: Denise Huet (Nancy) MSC: 35B25 35C20 76D05 35Q30 76D10 35J25 PDF BibTeX XML Cite \textit{C. Y. Jung} and \textit{R. Temam}, Russ. Math. Surv. 69, No. 3, 435--480 (2014; Zbl 1307.35025); translation from Usp. Mat. Nauk 69, No. 3, 43--86 (2014) Full Text: DOI OpenURL
Carpio, J.; Prieto, J. L. An anisotropic, fully adaptive algorithm for the solution of convection-dominated equations with semi-Lagrangian schemes. (English) Zbl 1296.76080 Comput. Methods Appl. Mech. Eng. 273, 77-99 (2014). MSC: 76M10 65M60 65M50 35K57 PDF BibTeX XML Cite \textit{J. Carpio} and \textit{J. L. Prieto}, Comput. Methods Appl. Mech. Eng. 273, 77--99 (2014; Zbl 1296.76080) Full Text: DOI OpenURL
Shi, Dongyang; Guan, Hongbo; Gong, Wei High accuracy analysis of the characteristic-nonconforming FEM for a convection-dominated transport problem. (English) Zbl 1293.65131 Math. Methods Appl. Sci. 37, No. 8, 1130-1136 (2014). Reviewer: Qin Meng Zhao (Beijing) MSC: 65M60 35K55 65M12 65M15 PDF BibTeX XML Cite \textit{D. Shi} et al., Math. Methods Appl. Sci. 37, No. 8, 1130--1136 (2014; Zbl 1293.65131) Full Text: DOI OpenURL
Yücel, Hamdullah; Karasözen, Bülent Adaptive symmetric interior penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints. (English) Zbl 1302.65258 Optimization 63, No. 1, 145-166 (2014). MSC: 65N30 49M25 35K57 PDF BibTeX XML Cite \textit{H. Yücel} and \textit{B. Karasözen}, Optimization 63, No. 1, 145--166 (2014; Zbl 1302.65258) Full Text: DOI OpenURL
Kuzmin, Dmitri Slope limiting for discontinuous Galerkin approximations with a possibly non-orthogonal Taylor basis. (English) Zbl 1431.65173 Int. J. Numer. Methods Fluids 71, No. 9, 1178-1190 (2013). MSC: 65M60 PDF BibTeX XML Cite \textit{D. Kuzmin}, Int. J. Numer. Methods Fluids 71, No. 9, 1178--1190 (2013; Zbl 1431.65173) Full Text: DOI OpenURL
Bank, Randolph E.; Metti, Maximilian S. An error analysis of some higher order space-time moving finite elements. (English) Zbl 1380.65247 Comput. Vis. Sci. 16, No. 5, 219-229 (2013). MSC: 65M60 65M15 65M50 PDF BibTeX XML Cite \textit{R. E. Bank} and \textit{M. S. Metti}, Comput. Vis. Sci. 16, No. 5, 219--229 (2013; Zbl 1380.65247) Full Text: DOI arXiv OpenURL
García-Archilla, Bosco Shishkin mesh simulation: a new stabilization technique for convection-diffusion problems. (English) Zbl 1352.65500 Comput. Methods Appl. Mech. Eng. 256, 1-16 (2013). MSC: 65N30 65N50 65N12 35K57 PDF BibTeX XML Cite \textit{B. García-Archilla}, Comput. Methods Appl. Mech. Eng. 256, 1--16 (2013; Zbl 1352.65500) Full Text: DOI arXiv OpenURL
Niemi, Antti H.; Collier, Nathaniel O.; Calo, Victor M. Automatically stable discontinuous Petrov-Galerkin methods for stationary transport problems: quasi-optimal test space norm. (English) Zbl 1350.65129 Comput. Math. Appl. 66, No. 10, 2096-2113 (2013). MSC: 65N30 35J25 65N12 PDF BibTeX XML Cite \textit{A. H. Niemi} et al., Comput. Math. Appl. 66, No. 10, 2096--2113 (2013; Zbl 1350.65129) Full Text: DOI arXiv OpenURL
Ramírez-Espinoza, Germán I.; Ehrhardt, Matthias Conservative and finite volume methods for the convection-dominated pricing problem. (English) Zbl 1305.65195 Adv. Appl. Math. Mech. 5, No. 6, 759-790 (2013). MSC: 65M08 91G60 35Q91 PDF BibTeX XML Cite \textit{G. I. Ramírez-Espinoza} and \textit{M. Ehrhardt}, Adv. Appl. Math. Mech. 5, No. 6, 759--790 (2013; Zbl 1305.65195) Full Text: DOI Link OpenURL
Möller, Matthias Algebraic flux correction for nonconforming finite element discretizations of scalar transport problems. (English) Zbl 1314.76034 Computing 95, No. 5, 425-448 (2013); erratum ibid. 96, No. 11, 1111-1112 (2014). MSC: 76M10 65M60 65Y20 PDF BibTeX XML Cite \textit{M. Möller}, Computing 95, No. 5, 425--448 (2013; Zbl 1314.76034) Full Text: DOI OpenURL
Shi, Dongyang; Wang, Haihong The economical difference-streamline diffusion nonconforming finite method for a class of Sobolev equations with convection-dominated term. (Chinese. English summary) Zbl 1313.65309 Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 6, 1148-1161 (2013). MSC: 65N30 65N15 65N06 35J60 PDF BibTeX XML Cite \textit{D. Shi} and \textit{H. Wang}, Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 6, 1148--1161 (2013; Zbl 1313.65309) OpenURL
Demkowicz, Leszek; Heuer, Norbert Robust DPG method for convection-dominated diffusion problems. (English) Zbl 1290.65088 SIAM J. Numer. Anal. 51, No. 5, 2514-2537 (2013). Reviewer: Petr Sváček (Praha) MSC: 65M60 35L15 65M15 65M12 PDF BibTeX XML Cite \textit{L. Demkowicz} and \textit{N. Heuer}, SIAM J. Numer. Anal. 51, No. 5, 2514--2537 (2013; Zbl 1290.65088) Full Text: DOI Link OpenURL
Schneider, Kai; Kolomenskiy, Dmitry; Deriaz, Erwan Is the CFL condition sufficient? Some remarks. (English) Zbl 1273.65128 de Moura, Carlos A. (ed.) et al., The Courant–Friedrichs–Lewy (CFL) condition. 80 years after its discovery. Papers based on the presentations at the meeting, Rio de Janeiro, Brazil, May 3–7, 2010. Boston, MA: Birkhäuser (ISBN 978-0-8176-8393-1/hbk; 978-0-8176-8394-8/ebook). 139-146 (2013). MSC: 65M20 PDF BibTeX XML Cite \textit{K. Schneider} et al., in: The Courant--Friedrichs--Lewy (CFL) condition. 80 years after its discovery. Papers based on the presentations at the meeting, Rio de Janeiro, Brazil, May 3--7, 2010. Boston, MA: Birkhäuser. 139--146 (2013; Zbl 1273.65128) Full Text: DOI OpenURL
Ma, Yanbao; Sun, Chien-pin; Haake, David A.; Churchill, Bernard M.; Ho, Chih-ming A high-order alternating direction implicit method for the unsteady convection-dominated diffusion problem. (English) Zbl 1412.65180 Int. J. Numer. Methods Fluids 70, No. 6, 703-712 (2012). MSC: 65N06 76M20 PDF BibTeX XML Cite \textit{Y. Ma} et al., Int. J. Numer. Methods Fluids 70, No. 6, 703--712 (2012; Zbl 1412.65180) Full Text: DOI OpenURL
Wong, Joseph S. H.; Jansen, Kenneth E. Residual distribution finite element method for convection-dominated problems. (English) Zbl 1354.78014 Comput. Methods Appl. Mech. Eng. 245-246, 232-242 (2012). MSC: 78M10 65M60 PDF BibTeX XML Cite \textit{J. S. H. Wong} and \textit{K. E. Jansen}, Comput. Methods Appl. Mech. Eng. 245--246, 232--242 (2012; Zbl 1354.78014) Full Text: DOI OpenURL
Coquel, Frédéric; Marmignon, Claude; Renac, Florent Fast time implicit-explicit discontinuous Galerkin method for convection dominated flow problems. (English) Zbl 1281.65130 Commun. Math. Sci. 10, No. 4, 1161-1172 (2012). MSC: 65M60 35K20 PDF BibTeX XML Cite \textit{F. Coquel} et al., Commun. Math. Sci. 10, No. 4, 1161--1172 (2012; Zbl 1281.65130) Full Text: DOI Link OpenURL
Wang, Lihua; Qin, Xinqiang; Wang, Quanjiu The characteristic ridge basis meshless method for convection-dominated diffusion equations. (Chinese. English summary) Zbl 1265.65185 J. Math., Wuhan Univ. 32, No. 1, 99-107 (2012). MSC: 65M25 35K20 PDF BibTeX XML Cite \textit{L. Wang} et al., J. Math., Wuhan Univ. 32, No. 1, 99--107 (2012; Zbl 1265.65185) OpenURL
Cui, Ming; Chen, Zhangxin; Ewing, Richard E.; Qin, Guan; Chen, Hongsen Reliable and efficient error control for an adaptive Galerkin-characteristic method for convection-dominated diffusion problems. (English) Zbl 1262.65118 Adv. Comput. Math. 37, No. 3, 319-353 (2012). Reviewer: Vit Dolejsi (Praha) MSC: 65M15 65M60 65M25 35K20 65M12 PDF BibTeX XML Cite \textit{M. Cui} et al., Adv. Comput. Math. 37, No. 3, 319--353 (2012; Zbl 1262.65118) Full Text: DOI OpenURL
Burman, Erik A penalty-free nonsymmetric Nitsche-type method for the weak imposition of boundary conditions. (English) Zbl 1262.65165 SIAM J. Numer. Anal. 50, No. 4, 1959-1981 (2012). Reviewer: Nina Shokina (Freiburg) MSC: 65N30 65N12 35J25 65N15 PDF BibTeX XML Cite \textit{E. Burman}, SIAM J. Numer. Anal. 50, No. 4, 1959--1981 (2012; Zbl 1262.65165) Full Text: DOI arXiv OpenURL
Zhang, Xianqiang; Wang, Wenqia; Lu, Tongchao Continuous interior penalty finite element methods for Sobolev equations with convection-dominated term. (English) Zbl 1345.65058 Numer. Methods Partial Differ. Equations 28, No. 4, 1399-1416 (2012). MSC: 65M60 65M15 PDF BibTeX XML Cite \textit{X. Zhang} et al., Numer. Methods Partial Differ. Equations 28, No. 4, 1399--1416 (2012; Zbl 1345.65058) Full Text: DOI OpenURL
Kraynik, Bridget; Sun, Yifei; Westphal, Chad R. Multiscale adaptively weighted least squares finite element methods for convection-dominated PDEs. (English) Zbl 1248.65123 Involve 5, No. 1, 39-49 (2012). MSC: 65N30 35J57 65N50 35Q30 PDF BibTeX XML Cite \textit{B. Kraynik} et al., Involve 5, No. 1, 39--49 (2012; Zbl 1248.65123) Full Text: DOI Link OpenURL
Demkowicz, Leszek; Gopalakrishnan, Jay; Niemi, Antti H. A class of discontinuous Petrov-Galerkin methods. III: Adaptivity. (English) Zbl 1316.76047 Appl. Numer. Math. 62, No. 4, 396-427 (2012). MSC: 76M10 65N30 65N50 76R50 PDF BibTeX XML Cite \textit{L. Demkowicz} et al., Appl. Numer. Math. 62, No. 4, 396--427 (2012; Zbl 1316.76047) Full Text: DOI OpenURL
Qian, Lingzhi; Feng, Xinlong; He, Yinnian The characteristic finite difference streamline diffusion method for convection-dominated diffusion problems. (English) Zbl 1236.76041 Appl. Math. Modelling 36, No. 2, 561-572 (2012). MSC: 76M20 65M25 65M06 PDF BibTeX XML Cite \textit{L. Qian} et al., Appl. Math. Modelling 36, No. 2, 561--572 (2012; Zbl 1236.76041) Full Text: DOI OpenURL
Qian, Lingzhi; Feng, Xinlong The characteristic AGE method for convection-dominated diffusion problems. (Chinese. English summary) Zbl 1265.65158 Numer. Math., Nanjing 33, No. 4, 347-357 (2011). MSC: 65M06 65M12 35K20 PDF BibTeX XML Cite \textit{L. Qian} and \textit{X. Feng}, Numer. Math., Nanjing 33, No. 4, 347--357 (2011; Zbl 1265.65158) OpenURL
Zhang, Jiansong; Yang, Danping; Zhu, Jiang Two new least-squares mixed finite element procedures for convection-dominated Sobolev equations. (English) Zbl 1265.65206 Appl. Math., Ser. B (Engl. Ed.) 26, No. 4, 401-411 (2011). MSC: 65M60 65M12 35K20 65M15 PDF BibTeX XML Cite \textit{J. Zhang} et al., Appl. Math., Ser. B (Engl. Ed.) 26, No. 4, 401--411 (2011; Zbl 1265.65206) Full Text: DOI OpenURL
de Frutos, Javier; García-Archilla, Bosco; Novo, Julia An adaptive finite element method for evolutionary convection dominated problems. (English) Zbl 1239.65063 Comput. Methods Appl. Mech. Eng. 200, No. 49-52, 3601-3612 (2011). MSC: 65M60 35K20 PDF BibTeX XML Cite \textit{J. de Frutos} et al., Comput. Methods Appl. Mech. Eng. 200, No. 49--52, 3601--3612 (2011; Zbl 1239.65063) Full Text: DOI OpenURL
Chang, Xiaorong; Feng, Minfu A nonconforming local projection stabilized method for the non-stationary convection diffusion problem. (Chinese. English summary) Zbl 1249.65194 Math. Numer. Sin. 33, No. 3, 275-288 (2011). MSC: 65M60 35K20 65M06 65M12 65M15 PDF BibTeX XML Cite \textit{X. Chang} and \textit{M. Feng}, Math. Numer. Sin. 33, No. 3, 275--288 (2011; Zbl 1249.65194) OpenURL
Ji, Guanghua; Zhang, Hui A posteriori error estimate for the convection dominated diffusion equation. (Chinese. English summary) Zbl 1249.65190 Acta Anal. Funct. Appl. 13, No. 1, 108-112 (2011). MSC: 65M15 65M60 65M25 35K20 PDF BibTeX XML Cite \textit{G. Ji} and \textit{H. Zhang}, Acta Anal. Funct. Appl. 13, No. 1, 108--112 (2011; Zbl 1249.65190) OpenURL
Jiang, Ziwen; Yang, Qing; Li, Aiqin The characteristics-finite volume element method for the convection dominated diffusion equation. (Chinese. English summary) Zbl 1249.65185 J. Syst. Sci. Math. Sci. 31, No. 1, 80-91 (2011). MSC: 65M08 65M15 35K20 65M25 PDF BibTeX XML Cite \textit{Z. Jiang} et al., J. Syst. Sci. Math. Sci. 31, No. 1, 80--91 (2011; Zbl 1249.65185) OpenURL
Dedner, Andreas; Klöfkorn, Robert A generic stabilization approach for higher order discontinuous Galerkin methods for convection dominated problems. (English) Zbl 1229.65175 J. Sci. Comput. 47, No. 3, 365-388 (2011). MSC: 65M60 65M12 35L65 35Q31 76N15 76M10 PDF BibTeX XML Cite \textit{A. Dedner} and \textit{R. Klöfkorn}, J. Sci. Comput. 47, No. 3, 365--388 (2011; Zbl 1229.65175) Full Text: DOI OpenURL
Hilhorst, Danielle; Vohralík, Martin A posteriori error estimates for combined finite volume-finite element discretizations of reactive transport equations on nonmatching grids. (English) Zbl 1225.76212 Comput. Methods Appl. Mech. Eng. 200, No. 5-8, 597-613 (2011). MSC: 76M12 76M10 76V05 76R10 65M15 PDF BibTeX XML Cite \textit{D. Hilhorst} and \textit{M. Vohralík}, Comput. Methods Appl. Mech. Eng. 200, No. 5--8, 597--613 (2011; Zbl 1225.76212) Full Text: DOI OpenURL
Beirão da Veiga, Lourenço; Droniou, Jérôme; Manzini, Gianmarco A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems. (English) Zbl 1263.65102 IMA J. Numer. Anal. 31, No. 4, 1357-1401 (2011). Reviewer: Liviu Marin (Bucharest) MSC: 65N08 35J25 65N06 65N15 65N12 PDF BibTeX XML Cite \textit{L. Beirão da Veiga} et al., IMA J. Numer. Anal. 31, No. 4, 1357--1401 (2011; Zbl 1263.65102) Full Text: DOI HAL OpenURL
Droniou, Jérôme Remarks on discretizations of convection terms in hybrid mimetic mixed methods. (English) Zbl 1260.76017 Netw. Heterog. Media 5, No. 3, 545-563 (2010). MSC: 76M12 76M20 76S05 65N12 65N30 65M12 65M60 PDF BibTeX XML Cite \textit{J. Droniou}, Netw. Heterog. Media 5, No. 3, 545--563 (2010; Zbl 1260.76017) Full Text: DOI OpenURL
Hsieh, Po-Wen; Yang, Suh-Yuh A novel least-squares finite element method enriched with residual-free bubbles for solving convection-dominated problems. (English) Zbl 1216.65156 SIAM J. Sci. Comput. 32, No. 4, 2047-2073 (2010). MSC: 65N30 65N12 65N15 35J25 PDF BibTeX XML Cite \textit{P.-W. Hsieh} and \textit{S.-Y. Yang}, SIAM J. Sci. Comput. 32, No. 4, 2047--2073 (2010; Zbl 1216.65156) Full Text: DOI OpenURL