Peng, Shanshan; Li, Meng; Zhao, Yanmin; Liu, Fawang; Cao, Fangfang Unconditionally convergent and superconvergent finite element method for nonlinear time-fractional parabolic equations with distributed delay. (English) Zbl 07824746 Numer. Algorithms 95, No. 4, 1643-1714 (2024). MSC: 65-XX PDFBibTeX XMLCite \textit{S. Peng} et al., Numer. Algorithms 95, No. 4, 1643--1714 (2024; Zbl 07824746) Full Text: DOI
Parker, Charles; Süli, Endre Stable lifting of polynomial traces on triangles. (English) Zbl 07821070 SIAM J. Numer. Anal. 62, No. 2, 692-717 (2024). MSC: 46E35 65N30 PDFBibTeX XMLCite \textit{C. Parker} and \textit{E. Süli}, SIAM J. Numer. Anal. 62, No. 2, 692--717 (2024; Zbl 07821070) Full Text: DOI arXiv
Coelho, Karolinne O.; Devloo, Philippe R. B.; Gomes, Sônia M. Enhanced and efficient scaled boundary finite elements for mechanical problems under the action of body loads. (English) Zbl 07820240 Comput. Methods Appl. Mech. Eng. 420, Article ID 116695, 25 p. (2024). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{K. O. Coelho} et al., Comput. Methods Appl. Mech. Eng. 420, Article ID 116695, 25 p. (2024; Zbl 07820240) Full Text: DOI
Falk, Richard S.; Winther, Ragnar The bubble transform and the de Rham complex. (English) Zbl 07808383 Found. Comput. Math. 24, No. 1, 99-147 (2024). MSC: 65N30 52-08 58A12 58A10 65N50 65N55 PDFBibTeX XMLCite \textit{R. S. Falk} and \textit{R. Winther}, Found. Comput. Math. 24, No. 1, 99--147 (2024; Zbl 07808383) Full Text: DOI arXiv
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
Si, Zhiyong; Hou, Akang; Wang, Yunxia A consistent projection finite element method for the non-stationary incompressible thermally coupled MHD equations. (English) Zbl 1527.76035 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107496, 30 p. (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 76M10 76W05 65M15 80A19 PDFBibTeX XMLCite \textit{Z. Si} et al., Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107496, 30 p. (2023; Zbl 1527.76035) Full Text: DOI
Acevedo, Ramiro; Gómez, Christian; Navia, Paulo Numerical analysis of nonlinear degenerate parabolic problems with application to eddy current models. (English) Zbl 1520.65067 Adv. Comput. Math. 49, No. 4, Paper No. 64, 22 p. (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65M12 65M15 35K55 35K65 78A25 78M10 35Q60 PDFBibTeX XMLCite \textit{R. Acevedo} et al., Adv. Comput. Math. 49, No. 4, Paper No. 64, 22 p. (2023; Zbl 1520.65067) Full Text: DOI
Qiu, Hailong Error analysis of fully discrete scheme for the Cahn-Hilliard-magneto-hydrodynamics problem. (English) Zbl 1516.65099 J. Sci. Comput. 95, No. 1, Paper No. 16, 27 p. (2023). MSC: 65M60 65M06 65N30 65M15 76M10 76W05 35R09 35Q35 PDFBibTeX XMLCite \textit{H. Qiu}, J. Sci. Comput. 95, No. 1, Paper No. 16, 27 p. (2023; Zbl 1516.65099) Full Text: DOI arXiv
Ma, Huimin; Huang, Pengzhan A fully discrete decoupled finite element method for the thermally coupled incompressible magnetohydrodynamic problem. (English) Zbl 07698907 J. Sci. Comput. 95, No. 1, Paper No. 14, 39 p. (2023). MSC: 65Mxx 76Mxx 65Nxx PDFBibTeX XMLCite \textit{H. Ma} and \textit{P. Huang}, J. Sci. Comput. 95, No. 1, Paper No. 14, 39 p. (2023; Zbl 07698907) Full Text: DOI
Falk, Richard S.; Winther, Ragnar Construction of polynomial preserving cochain extensions by blending. (English) Zbl 1512.65266 Math. Comput. 92, No. 342, 1575-1594 (2023). MSC: 65N30 65D17 65D18 58A12 58A10 PDFBibTeX XMLCite \textit{R. S. Falk} and \textit{R. Winther}, Math. Comput. 92, No. 342, 1575--1594 (2023; Zbl 1512.65266) Full Text: DOI arXiv
Angleitner, Niklas; Faustmann, Markus; Melenk, Jens Markus Exponential meshes and \(\mathcal{H}\)-matrices. (English) Zbl 1524.65744 Comput. Math. Appl. 130, 21-40 (2023). MSC: 65N30 65F05 35J25 65N15 65F50 65F55 PDFBibTeX XMLCite \textit{N. Angleitner} et al., Comput. Math. Appl. 130, 21--40 (2023; Zbl 1524.65744) Full Text: DOI arXiv
Fernández, Francisco J.; Martínez, Aurea; Alvarez-Vázquez, Lino J. Controlling eutrophication by means of water recirculation: an optimal control perspective. (English) Zbl 1501.49003 J. Comput. Appl. Math. 421, Article ID 114886, 26 p. (2023). MSC: 49J20 49S05 65K10 49M25 PDFBibTeX XMLCite \textit{F. J. Fernández} et al., J. Comput. Appl. Math. 421, Article ID 114886, 26 p. (2023; Zbl 1501.49003) Full Text: DOI
Si, Zhiyong; Lu, Jingyun; Wang, Yunxia Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent thermally coupled incompressible MHD equations. (English) Zbl 1521.76367 Comput. Fluids 240, Article ID 105427, 17 p. (2022). MSC: 76M10 65M60 65M12 65M15 65M25 76W05 PDFBibTeX XMLCite \textit{Z. Si} et al., Comput. Fluids 240, Article ID 105427, 17 p. (2022; Zbl 1521.76367) Full Text: DOI
Keram, Aytura; Huang, Pengzhan The Arrow-Hurwicz iterative finite element method for the stationary thermally coupled incompressible magnetohydrodynamics flow. (English) Zbl 1492.65315 J. Sci. Comput. 92, No. 1, Paper No. 11, 25 p. (2022). MSC: 65N30 65N12 76W05 76M10 76D05 35Q35 PDFBibTeX XMLCite \textit{A. Keram} and \textit{P. Huang}, J. Sci. Comput. 92, No. 1, Paper No. 11, 25 p. (2022; Zbl 1492.65315) Full Text: DOI
Acevedo, Ramiro; Gómez, Christian; López-Rodríguez, Bibiana Fully-discrete finite element approximation for a family of degenerate parabolic problems. (English) Zbl 07499249 Math. Model. Anal. 27, No. 1, 134-160 (2022). MSC: 65-XX 35K65 35K90 PDFBibTeX XMLCite \textit{R. Acevedo} et al., Math. Model. Anal. 27, No. 1, 134--160 (2022; Zbl 07499249) Full Text: DOI
Bermúdez, A.; López-Rodríguez, B.; Pena, F. J.; Rodríguez, R.; Salgado, P.; Venegas, P. Numerical solution of an axisymmetric eddy current model with current and voltage excitations. (English) Zbl 1484.65292 J. Sci. Comput. 91, No. 1, Paper No. 8, 26 p. (2022). MSC: 65N30 78A55 78M10 65N12 65N15 PDFBibTeX XMLCite \textit{A. Bermúdez} et al., J. Sci. Comput. 91, No. 1, Paper No. 8, 26 p. (2022; Zbl 1484.65292) Full Text: DOI
Le, Van Chien; Slodička, Marián; Van Bockstal, Karel A space-time discretization for an electromagnetic problem with moving non-magnetic conductor. (English) Zbl 1483.35237 Appl. Numer. Math. 173, 345-364 (2022). MSC: 35Q60 65M12 65N12 65M15 35D30 35A01 35A02 78M10 78M20 65M60 65M06 65N30 PDFBibTeX XMLCite \textit{V. C. Le} et al., Appl. Numer. Math. 173, 345--364 (2022; Zbl 1483.35237) Full Text: DOI
Chaumont-Frelet, T.; Ern, A.; Vohralík, M. Stable broken \(\boldsymbol{H}(\mathbf{curl})\) polynomial extensions and \(p\)-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem. (English) Zbl 1479.65027 Math. Comput. 91, No. 333, 37-74 (2022). MSC: 65N30 78M10 65N15 46E35 PDFBibTeX XMLCite \textit{T. Chaumont-Frelet} et al., Math. Comput. 91, No. 333, 37--74 (2022; Zbl 1479.65027) Full Text: DOI arXiv
Le, Van Chien; Slodička, Marián; Van Bockstal, Karel A full discretization for the saddle-point approach of a degenerate parabolic problem involving a moving body. (English) Zbl 1524.76150 Appl. Math. Lett. 124, Article ID 107660, 8 p. (2022). MSC: 76D07 35J25 65N30 76M10 PDFBibTeX XMLCite \textit{V. C. Le} et al., Appl. Math. Lett. 124, Article ID 107660, 8 p. (2022; Zbl 1524.76150) Full Text: DOI
Le, Van Chien; Slodička, Marián; Van Bockstal, Karel A time discrete scheme for an electromagnetic contact problem with moving conductor. (English) Zbl 1510.78062 Appl. Math. Comput. 404, Article ID 125997, 14 p. (2021). MSC: 78M20 65M06 35Q61 65M12 PDFBibTeX XMLCite \textit{V. C. Le} et al., Appl. Math. Comput. 404, Article ID 125997, 14 p. (2021; Zbl 1510.78062) Full Text: DOI
Acevedo, Ramiro; Gómez, Christian; López-Rodríguez, Bibiana Fully discrete finite element approximation for a family of degenerate parabolic mixed equations. (English) Zbl 1524.78076 Comput. Math. Appl. 96, 155-177 (2021). MSC: 78M10 65N30 78A25 65M60 78M20 65M06 65M15 35K65 76D07 76M10 76M20 PDFBibTeX XMLCite \textit{R. Acevedo} et al., Comput. Math. Appl. 96, 155--177 (2021; Zbl 1524.78076) Full Text: DOI arXiv
Coelho, Karolinne O.; Devloo, Philippe R. B.; Gomes, Sônia M. Error estimates for the scaled boundary finite element method. (English) Zbl 1506.65239 Comput. Methods Appl. Mech. Eng. 379, Article ID 113765, 29 p. (2021). MSC: 65N38 65N15 PDFBibTeX XMLCite \textit{K. O. Coelho} et al., Comput. Methods Appl. Mech. Eng. 379, Article ID 113765, 29 p. (2021; Zbl 1506.65239) Full Text: DOI arXiv
Ye, Xiu; Zhang, Shangyou A \(P_{k + 2}\) polynomial lifting operator on polygons and polyhedrons. (English) Zbl 1468.65208 Appl. Math. Lett. 116, Article ID 107033, 6 p. (2021). MSC: 65N30 35J05 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, Appl. Math. Lett. 116, Article ID 107033, 6 p. (2021; Zbl 1468.65208) Full Text: DOI arXiv
Qin, Hongyu; Wu, Fengyan; Zhang, Jiwei; Mu, Chunlai A linearized compact ADI scheme for semilinear parabolic problems with distributed delay. (English) Zbl 1466.65076 J. Sci. Comput. 87, No. 1, Paper No. 25, 19 p. (2021). MSC: 65M06 65M12 35K58 35R07 PDFBibTeX XMLCite \textit{H. Qin} et al., J. Sci. Comput. 87, No. 1, Paper No. 25, 19 p. (2021; Zbl 1466.65076) Full Text: DOI
Le, Van Chien; Slodička, Marián; Van Bockstal, Karel Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor. (English) Zbl 1524.78078 Comput. Math. Appl. 87, 27-40 (2021). MSC: 78M10 78M20 35Q60 65Z05 76-02 65M60 65M06 65N30 65M12 65M15 PDFBibTeX XMLCite \textit{V. C. Le} et al., Comput. Math. Appl. 87, 27--40 (2021; Zbl 1524.78078) Full Text: DOI
Qiu, Hailong Error analysis of Euler semi-implicit scheme for the nonstationary magneto-hydrodynamics problem with temperature dependent parameters. (English) Zbl 1456.65121 J. Sci. Comput. 85, No. 2, Paper No. 47, 25 p. (2020). MSC: 65M60 65M06 65N30 65M12 65M15 76M10 78M20 76W05 35Q35 PDFBibTeX XMLCite \textit{H. Qiu}, J. Sci. Comput. 85, No. 2, Paper No. 47, 25 p. (2020; Zbl 1456.65121) Full Text: DOI
Ainsworth, Mark; Parker, Charles \(H^2\)-stable polynomial liftings on triangles. (English) Zbl 1460.46020 SIAM J. Numer. Anal. 58, No. 3, 1867-1892 (2020). MSC: 46E35 65N55 PDFBibTeX XMLCite \textit{M. Ainsworth} and \textit{C. Parker}, SIAM J. Numer. Anal. 58, No. 3, 1867--1892 (2020; Zbl 1460.46020) Full Text: DOI
Feischl, M.; Schwab, Ch. Exponential convergence in \(H^1\) of hp-FEM for Gevrey regularity with isotropic singularities. (English) Zbl 1433.65290 Numer. Math. 144, No. 2, 323-346 (2020). MSC: 65N30 65N12 65N50 35B65 35J25 PDFBibTeX XMLCite \textit{M. Feischl} and \textit{Ch. Schwab}, Numer. Math. 144, No. 2, 323--346 (2020; Zbl 1433.65290) Full Text: DOI
Fernández, Francisco J.; Alvarez-Vázquez, Lino J.; Martínez, Aurea Mathematical analysis and numerical resolution of a heat transfer problem arising in water recirculation. (English) Zbl 1435.80003 J. Comput. Appl. Math. 366, Article ID 112402, 25 p. (2020); corrigendum ibid. 375, Article ID 112859, 2 p. (2020). MSC: 80A19 80A21 35L65 35K05 76R10 76N10 76U05 76F35 35Q30 35Q79 65M22 65M60 80M10 76M10 PDFBibTeX XMLCite \textit{F. J. Fernández} et al., J. Comput. Appl. Math. 366, Article ID 112402, 25 p. (2020; Zbl 1435.80003) Full Text: DOI arXiv
Melenk, J. M.; Rojik, C. On commuting \(p\)-version projection-based interpolation on tetrahedra. (English) Zbl 1426.65181 Math. Comput. 89, No. 321, 45-87 (2020). MSC: 65N30 65N35 65N12 78M10 PDFBibTeX XMLCite \textit{J. M. Melenk} and \textit{C. Rojik}, Math. Comput. 89, No. 321, 45--87 (2020; Zbl 1426.65181) Full Text: DOI arXiv
Vázquez-Méndez, Miguel Ernesto; Alvarez-Vázquez, L. J.; García-Chan, Nestor; Martínez, A. Optimal management of an urban road network with an environmental perspective. (English) Zbl 1442.65279 Comput. Math. Appl. 77, No. 6, 1786-1797 (2019). MSC: 65M60 35L50 35L65 49N90 90B20 PDFBibTeX XMLCite \textit{M. E. Vázquez-Méndez} et al., Comput. Math. Appl. 77, No. 6, 1786--1797 (2019; Zbl 1442.65279) Full Text: DOI
Yao, Changhui The solvability of coupling the thermal effect and magnetohydrodynamics field with turbulent convection zone and the flow field. (English) Zbl 1448.76199 J. Math. Anal. Appl. 476, No. 2, 495-521 (2019). MSC: 76W05 76F35 65M20 PDFBibTeX XMLCite \textit{C. Yao}, J. Math. Anal. Appl. 476, No. 2, 495--521 (2019; Zbl 1448.76199) Full Text: DOI
Alvarez-Vázquez, L. J.; Martínez, A.; Rodríguez, C.; Vázquez-Méndez, M. E. Sediment minimization in canals: an optimal control approach. (English) Zbl 07316230 Math. Comput. Simul. 149, 109-122 (2018). MSC: 76Mxx 35Qxx 65Mxx PDFBibTeX XMLCite \textit{L. J. Alvarez-Vázquez} et al., Math. Comput. Simul. 149, 109--122 (2018; Zbl 07316230) Full Text: DOI
Hosseinpour, Soleiman; Nazemi, Alireza; Tohidi, Emran A new approach for solving a class of delay fractional partial differential equations. (English) Zbl 1407.65214 Mediterr. J. Math. 15, No. 6, Paper No. 218, 20 p. (2018). MSC: 65M70 35R11 44A10 42C10 65D32 33C45 PDFBibTeX XMLCite \textit{S. Hosseinpour} et al., Mediterr. J. Math. 15, No. 6, Paper No. 218, 20 p. (2018; Zbl 1407.65214) Full Text: DOI
Alvarez-Vázquez, L. J.; García-Chan, N.; Martínez, A.; Vázquez-Méndez, M. E. Numerical simulation of air pollution due to traffic flow in urban networks. (English) Zbl 1367.91147 J. Comput. Appl. Math. 326, 44-61 (2017). MSC: 91B76 90B20 65M60 PDFBibTeX XMLCite \textit{L. J. Alvarez-Vázquez} et al., J. Comput. Appl. Math. 326, 44--61 (2017; Zbl 1367.91147) Full Text: DOI
Krzyżanowski, Piotr On a nonoverlapping additive Schwarz method for \(h\)-\(p\) discontinuous Galerkin discretization of elliptic problems. (English) Zbl 1356.65236 Numer. Methods Partial Differ. Equations 32, No. 6, 1572-1590 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N55 35J25 35R05 65F35 PDFBibTeX XMLCite \textit{P. Krzyżanowski}, Numer. Methods Partial Differ. Equations 32, No. 6, 1572--1590 (2016; Zbl 1356.65236) Full Text: DOI
Bermúdez, A.; Muñoz-Sola, R.; Reales, C.; Rodríguez, R.; Salgado, P. A transient eddy current problem on a moving domain. Numerical analysis. (English) Zbl 1351.78034 Adv. Comput. Math. 42, No. 4, 757-789 (2016). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M10 65N30 78M20 65N06 PDFBibTeX XMLCite \textit{A. Bermúdez} et al., Adv. Comput. Math. 42, No. 4, 757--789 (2016; Zbl 1351.78034) Full Text: DOI
Falk, Richard S.; Winther, Ragnar The bubble transform: a new tool for analysis of finite element methods. (English) Zbl 1337.65152 Found. Comput. Math. 16, No. 1, 297-328 (2016). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 PDFBibTeX XMLCite \textit{R. S. Falk} and \textit{R. Winther}, Found. Comput. Math. 16, No. 1, 297--328 (2016; Zbl 1337.65152) Full Text: DOI arXiv
Karkulik, M.; Melenk, J. M. Local high-order regularization and applications to \(hp\)-methods. (English) Zbl 1443.65349 Comput. Math. Appl. 70, No. 7, 1606-1639 (2015). MSC: 65N30 65N15 65N38 PDFBibTeX XMLCite \textit{M. Karkulik} and \textit{J. M. Melenk}, Comput. Math. Appl. 70, No. 7, 1606--1639 (2015; Zbl 1443.65349) Full Text: DOI arXiv
Guo, Benqi; Zhang, Jianming Reprint of “Construction of polynomial extensions in two dimensions and application to the \(h\)-\(p\) finite element method”. (English) Zbl 1293.65153 J. Comput. Appl. Math. 265, 151-172 (2014). MSC: 65N30 46E30 PDFBibTeX XMLCite \textit{B. Guo} and \textit{J. Zhang}, J. Comput. Appl. Math. 265, 151--172 (2014; Zbl 1293.65153) Full Text: DOI
Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul \(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. (English) Zbl 1298.65167 Math. Models Methods Appl. Sci. 24, No. 10, 2009-2041 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65N30 65N50 65N55 35J05 PDFBibTeX XMLCite \textit{A. Cangiani} et al., Math. Models Methods Appl. Sci. 24, No. 10, 2009--2041 (2014; Zbl 1298.65167) Full Text: DOI
Guo, Benqi; Zhang, Jianming Construction of polynomial extensions in two dimensions and application to the \(h\)-\(p\) finite element method. (English) Zbl 1278.65176 J. Comput. Appl. Math. 261, 249-270 (2014); reprint ibid. 265, 151-172 (2014). MSC: 65N30 46E30 PDFBibTeX XMLCite \textit{B. Guo} and \textit{J. Zhang}, J. Comput. Appl. Math. 261, 249--270 (2014; Zbl 1278.65176) Full Text: DOI
Sun, Zhi-Zhong; Zhang, Zai-Bin A linearized compact difference scheme for a class of nonlinear delay partial differential equations. (English) Zbl 1352.65270 Appl. Math. Modelling 37, No. 3, 742-752 (2013). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{Z.-Z. Sun} and \textit{Z.-B. Zhang}, Appl. Math. Modelling 37, No. 3, 742--752 (2013; Zbl 1352.65270) Full Text: DOI
Alvarez-Vázquez, Lino Jose; Júdice, Joaquim Joao; Martínez, Aurea; Rodríguez, Carmen; Vázquez-Méndez, Miguel Ernesto; Vilar, Miguel Angel On the optimal design of river fishways. (English) Zbl 1293.76044 Optim. Eng. 14, No. 1, 193-211 (2013). MSC: 76B75 76M30 65K10 PDFBibTeX XMLCite \textit{L. J. Alvarez-Vázquez} et al., Optim. Eng. 14, No. 1, 193--211 (2013; Zbl 1293.76044) Full Text: DOI
Guo, Benqi; Yi, Lijun Local Chebyshev projection-interpolation operator and application to the \(h-p\) version of the finite element method in three dimensions. (English) Zbl 1263.65112 Math. Models Methods Appl. Sci. 23, No. 5, 777-801 (2013). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{B. Guo} and \textit{L. Yi}, Math. Models Methods Appl. Sci. 23, No. 5, 777--801 (2013; Zbl 1263.65112) Full Text: DOI
Schöberl, Joachim; Lehrenfeld, Christoph Domain decomposition preconditioning for high order hybrid discontinuous Galerkin methods on tetrahedral meshes. (English) Zbl 1263.65120 Apel, Thomas (ed.) et al., Advanced finite element methods and applications. Berlin: Springer (ISBN 978-3-642-30315-9/hbk; 978-3-642-30316-6/ebook). Lecture Notes in Applied and Computational Mechanics 66, 27-56 (2013). MSC: 65N30 65N55 35J05 65F08 65F10 PDFBibTeX XMLCite \textit{J. Schöberl} and \textit{C. Lehrenfeld}, Lect. Notes Appl. Comput. Mech. 66, 27--56 (2013; Zbl 1263.65120) Full Text: DOI Link
Leydecker, Florian; Stephan, Ernst P. Additive Schwarz methods for the \(hp\) version of the boundary element method in \(\mathbb R^3\). (English) Zbl 1248.65126 Langer, Ulrich (ed.) et al., Fast boundary element methods in engineering and industrial applications. Berlin: Springer (ISBN 978-3-642-25669-1/hbk; 978-3-642-25670-7/ebook). Lecture Notes in Applied and Computational Mechanics 63, 93-109 (2012). MSC: 65N38 65F08 35J05 PDFBibTeX XMLCite \textit{F. Leydecker} and \textit{E. P. Stephan}, Lect. Notes Appl. Comput. Mech. 63, 93--109 (2012; Zbl 1248.65126) Full Text: DOI
Demkowicz, L.; Gopalakrishnan, J.; Schöberl, J. Polynomial extension operators. III. (English) Zbl 1252.46022 Math. Comput. 81, No. 279, 1289-1326 (2012). MSC: 46E35 46E40 41A10 65D05 65L60 PDFBibTeX XMLCite \textit{L. Demkowicz} et al., Math. Comput. 81, No. 279, 1289--1326 (2012; Zbl 1252.46022) Full Text: DOI
Chernov, Alexey Optimal convergence estimates for the trace of the polynomial \(L^{2}\)-projection operator on a simplex. (English) Zbl 1242.41007 Math. Comput. 81, No. 278, 765-787 (2012). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A10 65N35 41A25 65N15 PDFBibTeX XMLCite \textit{A. Chernov}, Math. Comput. 81, No. 278, 765--787 (2012; Zbl 1242.41007) Full Text: DOI
Alvarez-Vázquez, L. J.; García-Chan, N.; Martínez, A.; Vázquez-Méndez, M. E. Management of several purifying plants in the same area: a multi-objective optimal control problem. (English) Zbl 1220.65073 Fitt, Alistair D. (ed.) et al., Progress in industrial mathematics at ECMI 2008. Proceedings of the 15th European conference on mathematics for industry, London, UK, June 30 - July 4, 2008. Berlin: Springer (ISBN 978-3-642-12109-8/hbk; 978-3-642-12110-4/ebook). Mathematics in Industry 15, 691-696 (2010). MSC: 65K10 49J20 49M25 76B15 76M30 PDFBibTeX XMLCite \textit{L. J. Alvarez-Vázquez} et al., Math. Ind. 15, 691--696 (2010; Zbl 1220.65073) Full Text: DOI
Alvarez-Vázquez, Lino J.; Fernández, Francisco J.; Martínez, Aurea Optimal management of a bioreactor for eutrophicated water treatment: a numerical approach. (English) Zbl 1203.65170 J. Sci. Comput. 43, No. 1, 67-91 (2010). MSC: 65M32 35Q92 49N90 65M60 92E20 PDFBibTeX XMLCite \textit{L. J. Alvarez-Vázquez} et al., J. Sci. Comput. 43, No. 1, 67--91 (2010; Zbl 1203.65170) Full Text: DOI
Melenk, J. M.; Sauter, S. Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions. (English) Zbl 1205.65301 Math. Comput. 79, No. 272, 1871-1914 (2010). Reviewer: Alla Boikova (Penza) MSC: 65N12 65N30 35J05 65N15 PDFBibTeX XMLCite \textit{J. M. Melenk} and \textit{S. Sauter}, Math. Comput. 79, No. 272, 1871--1914 (2010; Zbl 1205.65301) Full Text: DOI
Ainsworth, Mark; Demkowicz, Leszek Explicit polynomial preserving trace liftings on a triangle. (English) Zbl 1175.46019 Math. Nachr. 282, No. 5, 640-658 (2009). MSC: 46E35 47B35 65N55 65N35 PDFBibTeX XMLCite \textit{M. Ainsworth} and \textit{L. Demkowicz}, Math. Nachr. 282, No. 5, 640--658 (2009; Zbl 1175.46019) Full Text: DOI
Alvarez-Vázquez, L. J.; Martínez, A.; Vázquez-Méndez, M. E.; Vilar, M. A. An application of optimal control theory to river pollution remediation. (English) Zbl 1158.92039 Appl. Numer. Math. 59, No. 5, 845-858 (2009). MSC: 92D40 49N90 49K20 76D55 65C20 PDFBibTeX XMLCite \textit{L. J. Alvarez-Vázquez} et al., Appl. Numer. Math. 59, No. 5, 845--858 (2009; Zbl 1158.92039) Full Text: DOI
Beuchler, Sven Wavelet solvers for \(hp\)-FEM discretizations in 3D using hexahedral elements. (English) Zbl 1157.65480 Comput. Methods Appl. Mech. Eng. 198, No. 13-14, 1138-1148 (2009). MSC: 65N30 65N55 PDFBibTeX XMLCite \textit{S. Beuchler}, Comput. Methods Appl. Mech. Eng. 198, No. 13--14, 1138--1148 (2009; Zbl 1157.65480) Full Text: DOI
Costabel, M.; Dauge, M.; Demkowicz, L. Polynomial extension operators for \(H^1\), \(H(\mathrm{curl})\) and \(H(\mathrm{div})\)-spaces on a cube. (English) Zbl 1198.65235 Math. Comput. 77, No. 264, 1967-1999 (2008). MSC: 65N35 65N30 78M10 35J05 PDFBibTeX XMLCite \textit{M. Costabel} et al., Math. Comput. 77, No. 264, 1967--1999 (2008; Zbl 1198.65235) Full Text: DOI
Heuer, Norbert; Leydecker, Florian An extension theorem for polynomials on triangles. (English) Zbl 1175.65143 Calcolo 45, No. 2, 69-85 (2008). MSC: 65N55 65N30 65N38 46E35 35J25 PDFBibTeX XMLCite \textit{N. Heuer} and \textit{F. Leydecker}, Calcolo 45, No. 2, 69--85 (2008; Zbl 1175.65143) Full Text: DOI
Stephan, E. P.; Maischak, M.; Leydecker, F. An \(hp\)-adaptive finite element/boundary element coupling method for electromagnetic problems. (English) Zbl 1166.78007 Comput. Mech. 39, No. 5, 673-680 (2007). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M10 65N30 35Q60 PDFBibTeX XMLCite \textit{E. P. Stephan} et al., Comput. Mech. 39, No. 5, 673--680 (2007; Zbl 1166.78007) Full Text: DOI
Beuchler, S.; Pillwein, V. Sparse shape functions for tetrahedral \(p\)-FEM using integrated Jacobi polynomials. (English) Zbl 1172.65384 Computing 80, No. 4, 345-375 (2007). MSC: 65N30 35J25 65F10 65F35 68W30 PDFBibTeX XMLCite \textit{S. Beuchler} and \textit{V. Pillwein}, Computing 80, No. 4, 345--375 (2007; Zbl 1172.65384) Full Text: DOI
Bećirović, A.; Paule, P.; Pillwein, V.; Riese, A.; Schneider, C.; Schöberl, J. Hypergeometric summation algorithms for high-order finite elements. (English) Zbl 1113.65105 Computing 78, No. 3, 235-249 (2006). Reviewer: Georg Hebermehl (Berlin) MSC: 65N30 33C45 33F10 68W30 65F35 35J25 65F10 PDFBibTeX XMLCite \textit{A. Bećirović} et al., Computing 78, No. 3, 235--249 (2006; Zbl 1113.65105) Full Text: DOI
Beuchler, S.; Schöberl, J. New shape functions for triangular \(p\)-FEM using integrated Jacobi polynomials. (English) Zbl 1095.65101 Numer. Math. 103, No. 3, 339-366 (2006). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 35J25 65N15 65N50 65Y20 PDFBibTeX XMLCite \textit{S. Beuchler} and \textit{J. Schöberl}, Numer. Math. 103, No. 3, 339--366 (2006; Zbl 1095.65101) Full Text: DOI
Cao, W.; Demkowicz, L. Optimal error estimate of a projection based interpolation for the \(p\)-version approximation in three dimensions. (English) Zbl 1092.65095 Comput. Math. Appl. 50, No. 3-4, 359-366 (2005). Reviewer: Jan Maes (Leuven) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{W. Cao} and \textit{L. Demkowicz}, Comput. Math. Appl. 50, No. 3--4, 359--366 (2005; Zbl 1092.65095) Full Text: DOI
Beuchler, S. A domain decomposition preconditioner for \(p\)-FEM discretizations of two-dimensional elliptic problems. (English) Zbl 1079.65121 Computing 74, No. 4, 299-317 (2005). Reviewer: Nedyu Popivanov (Sofia) MSC: 65N55 65N30 65F10 65F35 35J25 65Y05 PDFBibTeX XMLCite \textit{S. Beuchler}, Computing 74, No. 4, 299--317 (2005; Zbl 1079.65121) Full Text: DOI
Demkowicz, L.; Buffa, A. \(H^1\), \(H\)(curl) and \(H\)(div)-conforming projection-based interpolation in three dimensions: Quasi-optimal \(p\)-interpolation estimates. (English) Zbl 1143.78365 Comput. Methods Appl. Mech. Eng. 194, No. 2-5, 267-296 (2005). MSC: 78M10 65N30 PDFBibTeX XMLCite \textit{L. Demkowicz} and \textit{A. Buffa}, Comput. Methods Appl. Mech. Eng. 194, No. 2--5, 267--296 (2005; Zbl 1143.78365) Full Text: DOI
Tsamasphyros, G.; Markolefas, S. Some a priori error estimates with respect to \(H^{\theta}\) norms, \(0 <\theta < 1\), for the \(h\)-extension of the finite element method in two dimensions. (English) Zbl 1068.65129 Appl. Numer. Math. 52, No. 4, 449-458 (2005). Reviewer: Jiří Vaníček (Praha) MSC: 65N15 65N12 65N30 35J25 PDFBibTeX XMLCite \textit{G. Tsamasphyros} and \textit{S. Markolefas}, Appl. Numer. Math. 52, No. 4, 449--458 (2005; Zbl 1068.65129) Full Text: DOI
Gopalakrishnan, Jayadeep; Demkowicz, Leszek F. Quasioptimality of some spectral mixed methods. (English) Zbl 1051.78020 J. Comput. Appl. Math. 167, No. 1, 163-182 (2004). Reviewer: Wilhelm Heinrichs (Essen) MSC: 78M25 65N35 PDFBibTeX XMLCite \textit{J. Gopalakrishnan} and \textit{L. F. Demkowicz}, J. Comput. Appl. Math. 167, No. 1, 163--182 (2004; Zbl 1051.78020) Full Text: DOI
Korneev, V.; Flaherty, J. E.; Oden, J. T.; Fish, J. Additive Schwarz algorithms for solving \(hp\)-version finite element systems on triangular meshes. (English) Zbl 1018.65126 Appl. Numer. Math. 43, No. 4, 399-421 (2002). Reviewer: J.C.Coyle (West Long Branch) MSC: 65N30 65N55 65F10 35J25 65F35 PDFBibTeX XMLCite \textit{V. Korneev} et al., Appl. Numer. Math. 43, No. 4, 399--421 (2002; Zbl 1018.65126) Full Text: DOI
Mackerle, Jaroslav Error estimates and adaptive finite element methods. A bibliography (1990–2000). (English) Zbl 0985.65140 Eng. Comput. (Bradf.) 18, No. 5-6, 802-914 (2001). MSC: 65N30 74S05 65N15 65-00 74-00 65M60 65M15 78M10 PDFBibTeX XMLCite \textit{J. Mackerle}, Eng. Comput. (Bradf.) 18, No. 5--6, 802--914 (2001; Zbl 0985.65140) Full Text: DOI
de Frutos, Javier; Muñoz-Sola, Rafael On error estimates for Galerkin spectral discretizations of parabolic problems with nonsmooth initial data. (English) Zbl 1001.65108 Math. Comput. 70, No. 234, 525-531 (2001). MSC: 65M60 35K90 65M20 65M12 65M15 PDFBibTeX XMLCite \textit{J. de Frutos} and \textit{R. Muñoz-Sola}, Math. Comput. 70, No. 234, 525--531 (2001; Zbl 1001.65108) Full Text: DOI