Ahmad, Haroon; Gürkan, Ceren eXtended hybridizable discontinuous Galerkin (X-HDG) method for linear convection-diffusion equations on unfitted domains. (English) Zbl 07797645 J. Comput. Phys. 498, Article ID 112666, 18 p. (2024). MSC: 65Nxx 65Mxx 35Jxx PDFBibTeX XMLCite \textit{H. Ahmad} and \textit{C. Gürkan}, J. Comput. Phys. 498, Article ID 112666, 18 p. (2024; Zbl 07797645) Full Text: DOI arXiv
Henríquez, Esteban; Solano, Manuel An unfitted HDG method for a distributed optimal control problem. (English) Zbl 07797206 J. Comput. Appl. Math. 441, Article ID 115703, 18 p. (2024). MSC: 65N30 65N50 65N12 65N15 65B05 49M25 49K10 35J25 35A01 35A02 PDFBibTeX XMLCite \textit{E. Henríquez} and \textit{M. Solano}, J. Comput. Appl. Math. 441, Article ID 115703, 18 p. (2024; Zbl 07797206) Full Text: DOI
Antonietti, P. F.; Farenga, N.; Manuzzi, E.; Martinelli, G.; Saverio, L. Agglomeration of polygonal grids using graph neural networks with applications to multigrid solvers. (English) Zbl 07784347 Comput. Math. Appl. 154, 45-57 (2024). MSC: 65N30 65N55 35J25 65N12 65N50 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Comput. Math. Appl. 154, 45--57 (2024; Zbl 07784347) Full Text: DOI arXiv
Cockburn, Bernardo Hybridizable discontinuous Galerkin methods for second-order elliptic problems: overview, a new result and open problems. (English) Zbl 07749865 Japan J. Ind. Appl. Math. 40, No. 3, 1637-1676 (2023). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65M60 65-02 65N12 65N15 35L65 35J15 PDFBibTeX XMLCite \textit{B. Cockburn}, Japan J. Ind. Appl. Math. 40, No. 3, 1637--1676 (2023; Zbl 07749865) Full Text: DOI
Modave, Axel; Chaumont-Frelet, Théophile A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems. (English) Zbl 07748045 J. Comput. Phys. 493, Article ID 112459, 21 p. (2023). MSC: 65Nxx 35Jxx 65Fxx PDFBibTeX XMLCite \textit{A. Modave} and \textit{T. Chaumont-Frelet}, J. Comput. Phys. 493, Article ID 112459, 21 p. (2023; Zbl 07748045) Full Text: DOI arXiv
Musch, Markus; Rupp, Andreas; Aizinger, Vadym; Knabner, Peter Hybridizable discontinuous Galerkin method with mixed-order spaces for nonlinear diffusion equations with internal jumps. (English) Zbl 1517.65089 GEM. Int. J. Geomath. 14, Paper No. 18, 25 p. (2023). MSC: 65M60 65M12 76S05 PDFBibTeX XMLCite \textit{M. Musch} et al., GEM. Int. J. Geomath. 14, Paper No. 18, 25 p. (2023; Zbl 1517.65089) Full Text: DOI
Li, Xiaosheng; Wang, Wei A high order discontinuous Galerkin method for the recovery of the conductivity in electrical impedance tomography. (English) Zbl 07715683 J. Comput. Appl. Math. 434, Article ID 115344, 20 p. (2023). MSC: 65-XX 35R30 65J20 65N21 PDFBibTeX XMLCite \textit{X. Li} and \textit{W. Wang}, J. Comput. Appl. Math. 434, Article ID 115344, 20 p. (2023; Zbl 07715683) Full Text: DOI arXiv
Vidal-Codina, F.; Ciracì, C.; Nguyen, N.-C.; Oh, S.-H.; Peraire, J. Optical response of metallic nanostructures using quantum hydrodynamic theory and a hybridizable discontinuous Galerkin method. (English) Zbl 07705901 J. Comput. Phys. 489, Article ID 112260, 26 p. (2023). MSC: 65Mxx 78Mxx 65Nxx PDFBibTeX XMLCite \textit{F. Vidal-Codina} et al., J. Comput. Phys. 489, Article ID 112260, 26 p. (2023; Zbl 07705901) Full Text: DOI
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
Jain, Riya; Pani, Amiya K.; Yadav, Sangita HDG method for linear parabolic integro-differential equations. (English) Zbl 07701072 Appl. Math. Comput. 450, Article ID 127987, 15 p. (2023). MSC: 65Rxx 65Mxx 45Kxx PDFBibTeX XMLCite \textit{R. Jain} et al., Appl. Math. Comput. 450, Article ID 127987, 15 p. (2023; Zbl 07701072) Full Text: DOI
Bertoluzza, Silvia; Guidoboni, Giovanna; Hild, Romain; Prada, Daniele; Prud’homme, Christophe; Sacco, Riccardo; Sala, Lorenzo; Szopos, Marcela A HDG method for elliptic problems with integral boundary condition: theory and applications. (English) Zbl 1516.65124 J. Sci. Comput. 95, No. 1, Paper No. 6, 33 p. (2023). MSC: 65N30 46N40 82D37 82D40 92B05 92C05 PDFBibTeX XMLCite \textit{S. Bertoluzza} et al., J. Sci. Comput. 95, No. 1, Paper No. 6, 33 p. (2023; Zbl 1516.65124) Full Text: DOI
Sun, Zheng; Xing, Yulong On generalized Gauss-Radau projections and optimal error estimates of upwind-biased DG methods for the linear advection equation on special simplex meshes. (English) Zbl 07698855 J. Sci. Comput. 95, No. 2, Paper No. 40, 36 p. (2023). MSC: 65M60 65M06 65L06 65N30 65M15 65D32 PDFBibTeX XMLCite \textit{Z. Sun} and \textit{Y. Xing}, J. Sci. Comput. 95, No. 2, Paper No. 40, 36 p. (2023; Zbl 07698855) Full Text: DOI
Baharlouei, S.; Mokhtari, R.; Mostajeran, F. DNN-HDG: a deep learning hybridized discontinuous Galerkin method for solving some elliptic problems. (English) Zbl 1521.74205 Eng. Anal. Bound. Elem. 151, 656-669 (2023). MSC: 74S05 65N30 65N12 68T07 PDFBibTeX XMLCite \textit{S. Baharlouei} et al., Eng. Anal. Bound. Elem. 151, 656--669 (2023; Zbl 1521.74205) Full Text: DOI
La Spina, Andrea; Fish, Jacob Time- and frequency-domain hybridizable discontinuous Galerkin solvers for the calculation of the Cherenkov radiation. (English) Zbl 1507.78022 Comput. Methods Appl. Mech. Eng. 402, Article ID 115170, 25 p. (2022). MSC: 78M10 78A40 PDFBibTeX XMLCite \textit{A. La Spina} and \textit{J. Fish}, Comput. Methods Appl. Mech. Eng. 402, Article ID 115170, 25 p. (2022; Zbl 1507.78022) Full Text: DOI
Antonietti, P. F.; Dassi, F.; Manuzzi, E. Machine learning based refinement strategies for polyhedral grids with applications to virtual element and polyhedral discontinuous Galerkin methods. (English) Zbl 07592135 J. Comput. Phys. 469, Article ID 111531, 22 p. (2022). MSC: 65Nxx 35Jxx 65Mxx PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., J. Comput. Phys. 469, Article ID 111531, 22 p. (2022; Zbl 07592135) Full Text: DOI arXiv
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
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
Pereira, Carlos A.; Vermeire, Brian C. Performance and accuracy of hybridized flux reconstruction schemes. (English) Zbl 1515.65248 J. Comput. Phys. 457, Article ID 111039, 23 p. (2022). MSC: 65M60 65M50 PDFBibTeX XMLCite \textit{C. A. Pereira} and \textit{B. C. Vermeire}, J. Comput. Phys. 457, Article ID 111039, 23 p. (2022; Zbl 1515.65248) Full Text: DOI
Antonietti, P. F.; Manuzzi, E. Refinement of polygonal grids using convolutional neural networks with applications to polygonal discontinuous Galerkin and virtual element methods. (English) Zbl 07517731 J. Comput. Phys. 452, Article ID 110900, 20 p. (2022). MSC: 65Nxx 35Jxx 65Mxx PDFBibTeX XMLCite \textit{P. F. Antonietti} and \textit{E. Manuzzi}, J. Comput. Phys. 452, Article ID 110900, 20 p. (2022; Zbl 07517731) Full Text: DOI arXiv
Cockburn, Bernardo The pursuit of a dream, Francisco Javier Sayas and the HDG methods. (English) Zbl 1484.01023 S\(\vec{\text{e}}\)MA J. 79, No. 1, 37-56 (2022). MSC: 01A70 PDFBibTeX XMLCite \textit{B. Cockburn}, S\(\vec{\text{e}}\)MA J. 79, No. 1, 37--56 (2022; Zbl 1484.01023) 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
Vidal-Codina, F.; Nguyen, N.-C.; Ciracì, C.; Oh, S.-H.; Peraire, J. A nested hybridizable discontinuous Galerkin method for computing second-harmonic generation in three-dimensional metallic nanostructures. (English) Zbl 07500736 J. Comput. Phys. 429, Article ID 110000, 22 p. (2021). MSC: 65Mxx 65Nxx 78Mxx PDFBibTeX XMLCite \textit{F. Vidal-Codina} et al., J. Comput. Phys. 429, Article ID 110000, 22 p. (2021; Zbl 07500736) Full Text: DOI
Antonietti, Paola F.; Manzini, Gianmarco; Scacchi, Simone; Verani, Marco A review on arbitrarily regular conforming virtual element methods for second- and higher-order elliptic partial differential equations. (English) Zbl 1478.65110 Math. Models Methods Appl. Sci. 31, No. 14, 2825-2853 (2021). MSC: 65N30 65N22 65N12 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Math. Models Methods Appl. Sci. 31, No. 14, 2825--2853 (2021; Zbl 1478.65110) Full Text: DOI arXiv
Attene, Marco; Biasotti, Silvia; Bertoluzza, Silvia; Cabiddu, Daniela; Livesu, Marco; Patanè, Giuseppe; Pennacchio, Micol; Prada, Daniele; Spagnuolo, Michela Benchmarking the geometrical robustness of a virtual element Poisson solver. (English) Zbl 07431576 Math. Comput. Simul. 190, 1392-1414 (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{M. Attene} et al., Math. Comput. Simul. 190, 1392--1414 (2021; Zbl 07431576) Full Text: DOI
Parés, N.; Nguyen, N. C.; Díez, P.; Peraire, J. A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: application to the hybridizable discontinuous Galerkin method. (English) Zbl 1507.65249 Comput. Methods Appl. Mech. Eng. 386, Article ID 114088, 29 p. (2021). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{N. Parés} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114088, 29 p. (2021; Zbl 1507.65249) Full Text: DOI arXiv
Hong, Qingguo; Wu, Shuonan; Xu, Jinchao An extended Galerkin analysis for elliptic problems. (English) Zbl 1477.65219 Sci. China, Math. 64, No. 9, 2141-2158 (2021). MSC: 65N30 65M12 35J15 PDFBibTeX XMLCite \textit{Q. Hong} et al., Sci. China, Math. 64, No. 9, 2141--2158 (2021; Zbl 1477.65219) Full Text: DOI arXiv
Antonietti, Paola F.; Facciolà, Chiara; Houston, Paul; Mazzieri, Ilario; Pennesi, Giorgio; Verani, Marco High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations. (English) Zbl 1470.86002 Di Pietro, Daniele (ed.) et al., Polyhedral methods in geosciences. Cham: Springer. SEMA SIMAI Springer Ser. 27, 159-225 (2021). MSC: 86-08 86A15 74S05 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., SEMA SIMAI Springer Ser. 27, 159--225 (2021; Zbl 1470.86002) Full Text: DOI
Di Pietro, Daniele A.; Hülsemann, Frank; Matalon, Pierre; Mycek, Paul; Rüde, Ulrich; Ruiz, Daniel An H-multigrid method for hybrid high-order discretizations. (English) Zbl 1473.35145 SIAM J. Sci. Comput. 43, No. 5, S839-S861 (2021). MSC: 35J15 65N55 65N22 65F50 PDFBibTeX XMLCite \textit{D. A. Di Pietro} et al., SIAM J. Sci. Comput. 43, No. 5, S839--S861 (2021; Zbl 1473.35145) Full Text: DOI
Fernández-Méndez, Sonia An introduction to the hybridizable discontinuous Galerkin method. (English) Zbl 1478.76052 Kronbichler, Martin (ed.) et al., Efficient high-order discretizations for computational fluid dynamics. Selected papers based on the presentations at the summer school, Udine, Italy, July 16–20, 2018. Cham: Springer. CISM Courses Lect. 602, 261-275 (2021). MSC: 76M10 76D07 65N12 PDFBibTeX XMLCite \textit{S. Fernández-Méndez}, CISM Courses Lect. 602, 261--275 (2021; Zbl 1478.76052) Full Text: DOI Link
Sheng, Qiwei; Hauck, Cory D. Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering. (English) Zbl 1491.65150 Math. Comput. 90, No. 332, 2645-2669 (2021). MSC: 65N30 65N12 35B40 35B45 35L40 35R09 74J20 80A21 85A25 PDFBibTeX XMLCite \textit{Q. Sheng} and \textit{C. D. Hauck}, Math. Comput. 90, No. 332, 2645--2669 (2021; Zbl 1491.65150) Full Text: DOI arXiv
Giorgiani, G.; Bufferand, H.; Schwander, F.; Serre, E.; Tamain, P. A high-order non field-aligned approach for the discretization of strongly anisotropic diffusion operators in magnetic fusion. (English) Zbl 07687589 Comput. Phys. Commun. 254, Article ID 107375, 15 p. (2020). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{G. Giorgiani} et al., Comput. Phys. Commun. 254, Article ID 107375, 15 p. (2020; Zbl 07687589) Full Text: DOI
Antonietti, Paola F.; Facciolà, Chiara; Verani, Marco Unified analysis of discontinuous Galerkin approximations of flows in fractured porous media on polygonal and polyhedral grids. (English) Zbl 1489.76036 Math. Eng. (Springfield) 2, No. 2, 340-385 (2020). MSC: 76M10 76S05 65N30 65N15 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Math. Eng. (Springfield) 2, No. 2, 340--385 (2020; Zbl 1489.76036) Full Text: DOI
Giacomini, Matteo; Sevilla, Ruben; Huerta, Antonio Tutorial on hybridizable discontinuous Galerkin (HDG) formulation for incompressible flow problems. (English) Zbl 1481.76137 De Lorenzis, Laura (ed.) et al., Modeling in engineering using innovative numerical methods for solids and fluids. Papers based on the presentations at the CISM course, Udine, Italy, October 15–19, 2018. Cham: Springer. CISM Courses Lect. 599, 163-201 (2020). MSC: 76M10 76D05 76D07 76-01 PDFBibTeX XMLCite \textit{M. Giacomini} et al., CISM Courses Lect. 599, 163--201 (2020; Zbl 1481.76137) Full Text: DOI arXiv
La Spina, Andrea; Giacomini, Matteo; Huerta, Antonio Hybrid coupling of CG and HDG discretizations based on Nitsche’s method. (English) Zbl 1490.74107 Comput. Mech. 65, No. 2, 311-330 (2020). MSC: 74S05 74F05 74B05 PDFBibTeX XMLCite \textit{A. La Spina} et al., Comput. Mech. 65, No. 2, 311--330 (2020; Zbl 1490.74107) Full Text: DOI arXiv
Faucher, Florian; Scherzer, Otmar Adjoint-state method for hybridizable discontinuous Galerkin discretization, application to the inverse acoustic wave problem. (English) Zbl 1506.65193 Comput. Methods Appl. Mech. Eng. 372, Article ID 113406, 20 p. (2020). MSC: 65N21 35Q31 35R30 65N30 86A22 PDFBibTeX XMLCite \textit{F. Faucher} and \textit{O. Scherzer}, Comput. Methods Appl. Mech. Eng. 372, Article ID 113406, 20 p. (2020; Zbl 1506.65193) Full Text: DOI arXiv
La Spina, Andrea; Kronbichler, Martin; Giacomini, Matteo; Wall, Wolfgang A.; Huerta, Antonio A weakly compressible hybridizable discontinuous Galerkin formulation for fluid-structure interaction problems. (English) Zbl 1506.74415 Comput. Methods Appl. Mech. Eng. 372, Article ID 113392, 36 p. (2020). MSC: 74S05 65M60 74F10 76N99 PDFBibTeX XMLCite \textit{A. La Spina} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113392, 36 p. (2020; Zbl 1506.74415) Full Text: DOI arXiv
Sosa Jones, Giselle; Lee, Jeonghun J.; Rhebergen, Sander A space-time hybridizable discontinuous Galerkin method for linear free-surface waves. (English) Zbl 1456.65123 J. Sci. Comput. 85, No. 3, Paper No. 61, 38 p. (2020). MSC: 65M60 65M15 35R35 PDFBibTeX XMLCite \textit{G. Sosa Jones} et al., J. Sci. Comput. 85, No. 3, Paper No. 61, 38 p. (2020; Zbl 1456.65123) Full Text: DOI arXiv
Antonietti, Paola F.; Manzini, G.; Verani, Marco The conforming virtual element method for polyharmonic problems. (English) Zbl 1452.65320 Comput. Math. Appl. 79, No. 7, 2021-2034 (2020). MSC: 65N30 65N12 31A30 35J05 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Comput. Math. Appl. 79, No. 7, 2021--2034 (2020; Zbl 1452.65320) Full Text: DOI arXiv
Fabien, Maurice S.; Knepley, Matthew G.; Riviere, Beatrice M. Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems. (English) Zbl 1452.65336 J. Numer. Math. 28, No. 3, 161-174 (2020). MSC: 65N30 65N12 65N15 35J15 PDFBibTeX XMLCite \textit{M. S. Fabien} et al., J. Numer. Math. 28, No. 3, 161--174 (2020; Zbl 1452.65336) Full Text: DOI
Castillo, Paul; Gómez, Sergio Interpolatory super-convergent discontinuous Galerkin methods for nonlinear reaction diffusion equations on three dimensional domains. (English) Zbl 1452.65153 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105388, 16 p. (2020). MSC: 65M06 65M22 65N30 65D05 65M12 65M15 PDFBibTeX XMLCite \textit{P. Castillo} and \textit{S. Gómez}, Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105388, 16 p. (2020; Zbl 1452.65153) Full Text: DOI
Fabien, Maurice S.; Knepley, Matthew; Riviere, Beatrice A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media. (English) Zbl 1508.65128 Results Appl. Math. 8, Article ID 100089, 14 p. (2020). MSC: 65M60 65N30 65M06 76T06 76S05 86A05 PDFBibTeX XMLCite \textit{M. S. Fabien} et al., Results Appl. Math. 8, Article ID 100089, 14 p. (2020; Zbl 1508.65128) Full Text: DOI arXiv
Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio; Süli, Endre An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids. (English) Zbl 1442.65422 Math. Comput. 89, No. 325, 2047-2083 (2020). MSC: 65N55 65N50 65N30 65Y05 35J15 65F35 65F08 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Math. Comput. 89, No. 325, 2047--2083 (2020; Zbl 1442.65422) Full Text: DOI arXiv
Bertoluzza, Silvia; Pennacchio, Micol; Prada, Daniele FETI-DP for the three dimensional virtual element method. (English) Zbl 1440.65183 SIAM J. Numer. Anal. 58, No. 3, 1556-1591 (2020). MSC: 65N30 65N55 65N12 35J25 PDFBibTeX XMLCite \textit{S. Bertoluzza} et al., SIAM J. Numer. Anal. 58, No. 3, 1556--1591 (2020; Zbl 1440.65183) Full Text: DOI arXiv
Berardocco, Luca; Kronbichler, Martin; Gravemeier, Volker A hybridizable discontinuous Galerkin method for electromagnetics with a view on subsurface applications. (English) Zbl 1442.78001 Comput. Methods Appl. Mech. Eng. 366, Article ID 113071, 14 p. (2020). MSC: 78A25 65M60 PDFBibTeX XMLCite \textit{L. Berardocco} et al., Comput. Methods Appl. Mech. Eng. 366, Article ID 113071, 14 p. (2020; Zbl 1442.78001) Full Text: DOI arXiv
Komala-Sheshachala, Sanjay; Sevilla, Ruben; Hassan, Oubay A coupled HDG-FV scheme for the simulation of transient inviscid compressible flows. (English) Zbl 1519.76177 Comput. Fluids 202, Article ID 104495, 13 p. (2020). MSC: 76M12 65M08 65N99 PDFBibTeX XMLCite \textit{S. Komala-Sheshachala} et al., Comput. Fluids 202, Article ID 104495, 13 p. (2020; Zbl 1519.76177) Full Text: DOI Link
Vieira, Luan M.; Giacomini, Matteo; Sevilla, Ruben; Huerta, Antonio A second-order face-centred finite volume method for elliptic problems. (English) Zbl 1441.65087 Comput. Methods Appl. Mech. Eng. 358, Article ID 112655, 23 p. (2020). MSC: 65N08 PDFBibTeX XMLCite \textit{L. M. Vieira} et al., Comput. Methods Appl. Mech. Eng. 358, Article ID 112655, 23 p. (2020; Zbl 1441.65087) Full Text: DOI arXiv Link
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
Castillo, Paul; Gómez, Sergio Conservative super-convergent and hybrid discontinuous Galerkin methods applied to nonlinear Schrödinger equations. (English) Zbl 1433.65207 Appl. Math. Comput. 371, Article ID 124950, 14 p. (2020). MSC: 65M60 65M12 35Q55 PDFBibTeX XMLCite \textit{P. Castillo} and \textit{S. Gómez}, Appl. Math. Comput. 371, Article ID 124950, 14 p. (2020; Zbl 1433.65207) Full Text: DOI
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 PDFBibTeX XMLCite \textit{R. Bustinza} et al., Comput. Methods Appl. Mech. Eng. 345, 382--401 (2019; Zbl 1440.65186) Full Text: DOI
Dijoux, Loic; Fontaine, Vincent; Mara, Thierry Alex A projective hybridizable discontinuous Galerkin mixed method for second-order diffusion problems. (English) Zbl 1481.65223 Appl. Math. Modelling 75, 663-677 (2019). MSC: 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{L. Dijoux} et al., Appl. Math. Modelling 75, 663--677 (2019; Zbl 1481.65223) Full Text: DOI Link
Yadav, Sangita; Pani, Amiya K. Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems. (English) Zbl 1458.65130 J. Numer. Math. 27, No. 3, 183-202 (2019). MSC: 65M60 65M15 PDFBibTeX XMLCite \textit{S. Yadav} and \textit{A. K. Pani}, J. Numer. Math. 27, No. 3, 183--202 (2019; Zbl 1458.65130) Full Text: DOI
Wildey, Tim; Muralikrishnan, Sriramkrishnan; Bui-Thanh, Tan Unified geometric multigrid algorithm for hybridized High-order finite element methods. (English) Zbl 1425.65184 SIAM J. Sci. Comput. 41, No. 5, S172-S195 (2019). MSC: 65N30 65N55 65N22 65N12 65F10 PDFBibTeX XMLCite \textit{T. Wildey} et al., SIAM J. Sci. Comput. 41, No. 5, S172--S195 (2019; Zbl 1425.65184) Full Text: DOI arXiv
Führer, Thomas Superconvergent DPG methods for second-order elliptic problems. (English) Zbl 1420.65121 Comput. Methods Appl. Math. 19, No. 3, 483-502 (2019). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{T. Führer}, Comput. Methods Appl. Math. 19, No. 3, 483--502 (2019; Zbl 1420.65121) Full Text: DOI arXiv
Corbo, Anna Regina; do Carmo, Eduardo Gomes Dutra; Mansur, Webe João; Fernandes, Katia Prado The size function for a HDG method applied to the Helmholtz problem. (English) Zbl 1438.65234 Comput. Appl. Math. 38, No. 3, Paper No. 98, 26 p. (2019). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{A. R. Corbo} et al., Comput. Appl. Math. 38, No. 3, Paper No. 98, 26 p. (2019; Zbl 1438.65234) Full Text: DOI
Mu, Lin A priori and a posterior error estimate of new weak Galerkin finite element methods for second order elliptic interface problems on polygonal meshes. (English) Zbl 1422.65403 J. Comput. Appl. Math. 362, 423-442 (2019). MSC: 65N30 65N15 65N85 65N50 35J15 PDFBibTeX XMLCite \textit{L. Mu}, J. Comput. Appl. Math. 362, 423--442 (2019; Zbl 1422.65403) Full Text: DOI
Moon, Minam; Lazarov, Raytcho; Jun, Hyung Kyu Multiscale HDG model reduction method for flows in heterogeneous porous media. (English) Zbl 1432.76165 Appl. Numer. Math. 140, 115-133 (2019). MSC: 76M10 65M60 65M15 76S05 PDFBibTeX XMLCite \textit{M. Moon} et al., Appl. Numer. Math. 140, 115--133 (2019; Zbl 1432.76165) Full Text: DOI
Zhao, M.; Wu, H.; Xiong, C. Error analysis of HDG approximations for elliptic variational inequality: obstacle problem. (English) Zbl 1454.65174 Numer. Algorithms 81, No. 2, 445-463 (2019). MSC: 65N30 65F10 65K15 65N55 PDFBibTeX XMLCite \textit{M. Zhao} et al., Numer. Algorithms 81, No. 2, 445--463 (2019; Zbl 1454.65174) Full Text: DOI
Paipuri, Mahendra; Tiago, Carlos; Fernández-Méndez, Sonia Coupling of continuous and hybridizable discontinuous Galerkin methods: application to conjugate heat transfer problem. (English) Zbl 1422.65407 J. Sci. Comput. 78, No. 1, 321-350 (2019). MSC: 65N30 65N12 65N15 76D05 76R10 76M10 80M10 PDFBibTeX XMLCite \textit{M. Paipuri} et al., J. Sci. Comput. 78, No. 1, 321--350 (2019; Zbl 1422.65407) Full Text: DOI Link
Huang, Jianguo; Huang, Xuehai A hybridizable discontinuous Galerkin method for Kirchhoff plates. (English) Zbl 1412.65217 J. Sci. Comput. 78, No. 1, 290-320 (2019). MSC: 65N30 74K20 65N12 74S05 PDFBibTeX XMLCite \textit{J. Huang} and \textit{X. Huang}, J. Sci. Comput. 78, No. 1, 290--320 (2019; Zbl 1412.65217) Full Text: DOI
Fabien, Maurice S.; Knepley, Matthew G.; Mills, Richard T.; Rivière, Béatrice M. Manycore parallel computing for a hybridizable discontinuous Galerkin nested multigrid method. (English) Zbl 1412.65129 SIAM J. Sci. Comput. 41, No. 2, C73-C96 (2019). MSC: 65M55 65N30 35J15 65Y05 PDFBibTeX XMLCite \textit{M. S. Fabien} et al., SIAM J. Sci. Comput. 41, No. 2, C73--C96 (2019; Zbl 1412.65129) Full Text: DOI arXiv
Hong, Qingguo; Wang, Fei; Wu, Shuonan; Xu, Jinchao A unified study of continuous and discontinuous Galerkin methods. (English) Zbl 1412.65214 Sci. China, Math. 62, No. 1, 1-32 (2019). MSC: 65N30 65N12 65N15 35J15 35J30 PDFBibTeX XMLCite \textit{Q. Hong} et al., Sci. China, Math. 62, No. 1, 1--32 (2019; Zbl 1412.65214) Full Text: DOI arXiv
Samii, Ali; Dawson, Clint An explicit hybridized discontinuous Galerkin method for Serre-Green-Naghdi wave model. (English) Zbl 1439.76094 Comput. Methods Appl. Mech. Eng. 330, 447-470 (2018). MSC: 76M10 65M60 76B15 86A05 PDFBibTeX XMLCite \textit{A. Samii} and \textit{C. Dawson}, Comput. Methods Appl. Mech. Eng. 330, 447--470 (2018; Zbl 1439.76094) Full Text: DOI
Giorgiani, G.; Bufferand, H.; Ciraolo, G.; Ghendrih, P.; Schwander, F.; Serre, E.; Tamain, P. A hybrid discontinuous Galerkin method for tokamak edge plasma simulations in global realistic geometry. (English) Zbl 1416.76107 J. Comput. Phys. 374, 515-532 (2018). MSC: 76M10 65M60 76X05 PDFBibTeX XMLCite \textit{G. Giorgiani} et al., J. Comput. Phys. 374, 515--532 (2018; Zbl 1416.76107) Full Text: DOI Link
Führer, Thomas Superconvergence in a DPG method for an ultra-weak formulation. (English) Zbl 1409.65091 Comput. Math. Appl. 75, No. 5, 1705-1718 (2018). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{T. Führer}, Comput. Math. Appl. 75, No. 5, 1705--1718 (2018; Zbl 1409.65091) Full Text: DOI arXiv
Gatica, Luis F.; Sequeira, Filánder A. A priori and a posteriori error analyses of an HDG method for the Brinkman problem. (English) Zbl 1409.65093 Comput. Math. Appl. 75, No. 4, 1191-1212 (2018). MSC: 65N30 65N15 35J57 PDFBibTeX XMLCite \textit{L. F. Gatica} and \textit{F. A. Sequeira}, Comput. Math. Appl. 75, No. 4, 1191--1212 (2018; Zbl 1409.65093) Full Text: DOI
Mascotto, Lorenzo Ill-conditioning in the virtual element method: stabilizations and bases. (English) Zbl 1407.65294 Numer. Methods Partial Differ. Equations 34, No. 4, 1258-1281 (2018). MSC: 65N30 35J05 41A10 65F35 15A12 PDFBibTeX XMLCite \textit{L. Mascotto}, Numer. Methods Partial Differ. Equations 34, No. 4, 1258--1281 (2018; Zbl 1407.65294) Full Text: DOI arXiv
Vidal-Codina, F.; Nguyen, N. C.; Peraire, J. Computing parametrized solutions for plasmonic nanogap structures. (English) Zbl 1406.78027 J. Comput. Phys. 366, 89-106 (2018). MSC: 78M34 78M10 78A40 82D80 PDFBibTeX XMLCite \textit{F. Vidal-Codina} et al., J. Comput. Phys. 366, 89--106 (2018; Zbl 1406.78027) Full Text: DOI arXiv Link
Sevilla, Ruben; Huerta, Antonio HDG-NEFEM with degree adaptivity for Stokes flows. (English) Zbl 1497.65236 J. Sci. Comput. 77, No. 3, 1953-1980 (2018). MSC: 65N30 65D07 65N12 65N22 76D07 76M10 PDFBibTeX XMLCite \textit{R. Sevilla} and \textit{A. Huerta}, J. Sci. Comput. 77, No. 3, 1953--1980 (2018; Zbl 1497.65236) Full Text: DOI arXiv
Li, Guanglian; Shi, Ke Upscaled HDG methods for Brinkman equations with high-contrast heterogeneous coefficient. (English) Zbl 1407.65293 J. Sci. Comput. 77, No. 3, 1780-1800 (2018). MSC: 65N30 65N15 76S05 35Q35 65N50 PDFBibTeX XMLCite \textit{G. Li} and \textit{K. Shi}, J. Sci. Comput. 77, No. 3, 1780--1800 (2018; Zbl 1407.65293) Full Text: DOI Link
Gopalakrishnan, Jay; Solano, Manuel; Vargas, Felipe Dispersion analysis of HDG methods. (English) Zbl 1407.65287 J. Sci. Comput. 77, No. 3, 1703-1735 (2018). MSC: 65N30 35J05 PDFBibTeX XMLCite \textit{J. Gopalakrishnan} et al., J. Sci. Comput. 77, No. 3, 1703--1735 (2018; Zbl 1407.65287) Full Text: DOI Link
Giacomini, Matteo; Karkoulias, Alexandros; Sevilla, Ruben; Huerta, Antonio A superconvergent HDG method for Stokes flow with strongly enforced symmetry of the stress tensor. (English) Zbl 1404.76162 J. Sci. Comput. 77, No. 3, 1679-1702 (2018). MSC: 76M10 65N30 65N12 76D07 PDFBibTeX XMLCite \textit{M. Giacomini} et al., J. Sci. Comput. 77, No. 3, 1679--1702 (2018; Zbl 1404.76162) Full Text: DOI arXiv Link
Fernandez, P.; Christophe, A.; Terrana, S.; Nguyen, N. C.; Peraire, J. Hybridized discontinuous Galerkin methods for wave propagation. (English) Zbl 1407.65184 J. Sci. Comput. 77, No. 3, 1566-1604 (2018). MSC: 65M60 65M06 35Q35 35Q74 35Q60 PDFBibTeX XMLCite \textit{P. Fernandez} et al., J. Sci. Comput. 77, No. 3, 1566--1604 (2018; Zbl 1407.65184) Full Text: DOI arXiv Link
Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods. (English) Zbl 1435.65044 J. Sci. Comput. 77, No. 3, 1339-1370 (2018). MSC: 65D30 65D32 65L60 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., J. Sci. Comput. 77, No. 3, 1339--1370 (2018; Zbl 1435.65044) Full Text: DOI
Cockburn, Bernardo; Fu, Guosheng; Qiu, Weifeng Discrete \(H^1\)-inequalities for spaces admitting M-decompositions. (English) Zbl 1407.65285 SIAM J. Numer. Anal. 56, No. 6, 3407-3429 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65M60 35L65 35Q35 76D05 65N12 65M12 PDFBibTeX XMLCite \textit{B. Cockburn} et al., SIAM J. Numer. Anal. 56, No. 6, 3407--3429 (2018; Zbl 1407.65285) Full Text: DOI arXiv
Xiong, Chunguang; Luo, Fusheng; Ma, Xiuling Uniform in time error analysis of HDG approximation for Schrödinger equation based on HDG projection. (English) Zbl 1416.65365 ESAIM, Math. Model. Numer. Anal. 52, No. 2, 751-772 (2018). MSC: 65M60 65M15 81Q05 PDFBibTeX XMLCite \textit{C. Xiong} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 2, 751--772 (2018; Zbl 1416.65365) Full Text: DOI
Guzmán, Johnny; Neilan, Michael Inf-sup stable finite elements on barycentric refinements producing divergence-free approximations in arbitrary dimensions. (English) Zbl 1407.65289 SIAM J. Numer. Anal. 56, No. 5, 2826-2844 (2018). Reviewer: Sarah Eberle (Frankfurt am Main) MSC: 65N30 65N12 76D07 PDFBibTeX XMLCite \textit{J. Guzmán} and \textit{M. Neilan}, SIAM J. Numer. Anal. 56, No. 5, 2826--2844 (2018; Zbl 1407.65289) Full Text: DOI arXiv
Sun, Pengtao; Huang, Xuehai Quasi-optimal convergence rate for an adaptive hybridizable \(C^0\) discontinuous Galerkin method for Kirchhoff plates. (English) Zbl 1393.74102 Numer. Math. 139, No. 4, 795-829 (2018). MSC: 74K20 65N12 65N30 74S05 65N50 65Y20 PDFBibTeX XMLCite \textit{P. Sun} and \textit{X. Huang}, Numer. Math. 139, No. 4, 795--829 (2018; Zbl 1393.74102) Full Text: DOI arXiv
Antonietti, Paola F.; Verani, Marco A multigrid algorithm for the \(p\)-version of the virtual element method. (English) Zbl 1397.65249 ESAIM, Math. Model. Numer. Anal. 52, No. 1, 337-364 (2018). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N55 65F10 65F08 PDFBibTeX XMLCite \textit{P. F. Antonietti} and \textit{M. Verani}, ESAIM, Math. Model. Numer. Anal. 52, No. 1, 337--364 (2018; Zbl 1397.65249) Full Text: DOI arXiv
Chen, Gang; Hu, Weiwei; Shen, Jiguang; Singler, John R.; Zhang, Yangwen; Zheng, Xiaobo An HDG method for distributed control of convection diffusion PDEs. (English) Zbl 1448.65222 J. Comput. Appl. Math. 343, 643-661 (2018). MSC: 65N30 49M25 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{G. Chen} et al., J. Comput. Appl. Math. 343, 643--661 (2018; Zbl 1448.65222) Full Text: DOI arXiv
Cockburn, Bernardo; Sánchez, Manuel A.; Xiong, Chunguang Supercloseness of primal-dual Galerkin approximations for second order elliptic problems. (English) Zbl 1398.65294 J. Sci. Comput. 75, No. 1, 376-394 (2018). MSC: 65N30 35J25 65N15 PDFBibTeX XMLCite \textit{B. Cockburn} et al., J. Sci. Comput. 75, No. 1, 376--394 (2018; Zbl 1398.65294) Full Text: DOI
Vidal-Codina, F.; Nguyen, N. C.; Oh, S.-H.; Peraire, J. A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures. (English) Zbl 1380.78012 J. Comput. Phys. 355, 548-565 (2018). MSC: 78M10 78A35 82D80 76N99 PDFBibTeX XMLCite \textit{F. Vidal-Codina} et al., J. Comput. Phys. 355, 548--565 (2018; Zbl 1380.78012) Full Text: DOI arXiv Link
Yadav, Sangita; Pani, Amiya K. Superconvergence of a class of expanded discontinuous Galerkin methods for fully nonlinear elliptic problems in divergence form. (English) Zbl 1380.65341 J. Comput. Appl. Math. 333, 215-234 (2018). MSC: 65N12 35J60 65N15 65N30 PDFBibTeX XMLCite \textit{S. Yadav} and \textit{A. K. Pani}, J. Comput. Appl. Math. 333, 215--234 (2018; Zbl 1380.65341) Full Text: DOI
Williams, D. M. An entropy stable, hybridizable discontinuous Galerkin method for the compressible Navier-Stokes equations. (English) Zbl 1442.76073 Math. Comput. 87, No. 309, 95-121 (2018). Reviewer: Pavel Burda (Praha) MSC: 76M10 76N15 65M60 65M12 PDFBibTeX XMLCite \textit{D. M. Williams}, Math. Comput. 87, No. 309, 95--121 (2018; Zbl 1442.76073) Full Text: DOI
Qiu, Weifeng; Shen, Jiguang; Shi, Ke An HDG method for linear elasticity with strong symmetric stresses. (English) Zbl 1410.65459 Math. Comput. 87, No. 309, 69-93 (2018). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65L12 74B10 65N12 PDFBibTeX XMLCite \textit{W. Qiu} et al., Math. Comput. 87, No. 309, 69--93 (2018; Zbl 1410.65459) Full Text: DOI arXiv
Moon, Minam; Jun, Hyung Kyu; Suh, Tay Error estimates on hybridizable discontinuous Galerkin methods for parabolic equations with nonlinear coefficients. (English) Zbl 1404.65129 Adv. Math. Phys. 2017, Article ID 9736818, 11 p. (2017). MSC: 65M15 35K55 PDFBibTeX XMLCite \textit{M. Moon} et al., Adv. Math. Phys. 2017, Article ID 9736818, 11 p. (2017; Zbl 1404.65129) Full Text: DOI
Bertoluzza, Silvia; Pennacchio, Micol; Prada, Daniele BDDC and FETI-DP for the virtual element method. (English) Zbl 1429.65274 Calcolo 54, No. 4, 1565-1593 (2017). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N55 35J25 65N12 PDFBibTeX XMLCite \textit{S. Bertoluzza} et al., Calcolo 54, No. 4, 1565--1593 (2017; Zbl 1429.65274) Full Text: DOI arXiv
Dong, Bo Optimally convergent HDG method for third-order Korteweg-de Vries type equations. (English) Zbl 1383.65103 J. Sci. Comput. 73, No. 2-3, 712-735 (2017). Reviewer: Petr Sváček (Praha) MSC: 65M12 65M60 35Q53 65M15 PDFBibTeX XMLCite \textit{B. Dong}, J. Sci. Comput. 73, No. 2--3, 712--735 (2017; Zbl 1383.65103) Full Text: DOI arXiv
Gürkan, Ceren; Kronbichler, Martin; Fernández-Méndez, Sonia eXtended hybridizable discontinuous Galerkin with Heaviside enrichment for heat bimaterial problems. (English) Zbl 1377.65150 J. Sci. Comput. 72, No. 2, 542-567 (2017). MSC: 65N30 65N50 65N12 74E30 74S05 35J25 35R05 PDFBibTeX XMLCite \textit{C. Gürkan} et al., J. Sci. Comput. 72, No. 2, 542--567 (2017; Zbl 1377.65150) Full Text: DOI Link
Gatica, Gabriel N.; Sequeira, Filánder A. Analysis of the HDG method for the Stokes-Darcy coupling. (English) Zbl 1397.76068 Numer. Methods Partial Differ. Equations 33, No. 3, 885-917 (2017). MSC: 76M10 65N30 76D07 76S05 PDFBibTeX XMLCite \textit{G. N. Gatica} and \textit{F. A. Sequeira}, Numer. Methods Partial Differ. Equations 33, No. 3, 885--917 (2017; Zbl 1397.76068) Full Text: DOI Link
Cockburn, Bernardo; Fu, Guosheng; Sayas, Francisco Javier Superconvergence by \(M\)-decompositions. I: General theory for HDG methods for diffusion. (English) Zbl 1361.65084 Math. Comput. 86, No. 306, 1609-1641 (2017). MSC: 65N12 65N30 35J25 65N50 PDFBibTeX XMLCite \textit{B. Cockburn} et al., Math. Comput. 86, No. 306, 1609--1641 (2017; Zbl 1361.65084) Full Text: DOI
Samii, Ali; Michoski, Craig; Dawson, Clint A parallel and adaptive hybridized discontinuous Galerkin method for anisotropic nonhomogeneous diffusion. (English) Zbl 1423.76272 Comput. Methods Appl. Mech. Eng. 304, 118-139 (2016). MSC: 76M10 65N30 74F10 76S05 PDFBibTeX XMLCite \textit{A. Samii} et al., Comput. Methods Appl. Mech. Eng. 304, 118--139 (2016; Zbl 1423.76272) Full Text: DOI
Stanglmeier, M.; Nguyen, N. C.; Peraire, J.; Cockburn, B. An explicit hybridizable discontinuous Galerkin method for the acoustic wave equation. (English) Zbl 1423.76280 Comput. Methods Appl. Mech. Eng. 300, 748-769 (2016). MSC: 76M10 65M60 76Q05 PDFBibTeX XMLCite \textit{M. Stanglmeier} et al., Comput. Methods Appl. Mech. Eng. 300, 748--769 (2016; Zbl 1423.76280) Full Text: DOI
Huang, Xuehai; Huang, Jianguo A superconvergent \(C^0\) discontinuous Galerkin method for Kirchhoff plates: error estimates, hybridization and postprocessing. (English) Zbl 1397.74188 J. Sci. Comput. 69, No. 3, 1251-1278 (2016). MSC: 74S05 65N30 65N12 74K20 PDFBibTeX XMLCite \textit{X. Huang} and \textit{J. Huang}, J. Sci. Comput. 69, No. 3, 1251--1278 (2016; Zbl 1397.74188) Full Text: DOI
Gürkan, Ceren; Sala-Lardies, Esther; Kronbichler, Martin; Fernández-Méndez, Sonia Extended hybridizable discontinous Galerkin (X-HDG) for void problems. (English) Zbl 1371.65119 J. Sci. Comput. 66, No. 3, 1313-1333 (2016). MSC: 65N30 35J25 65N50 65N12 PDFBibTeX XMLCite \textit{C. Gürkan} et al., J. Sci. Comput. 66, No. 3, 1313--1333 (2016; Zbl 1371.65119) Full Text: DOI Link
Cockburn, Bernardo Static condensation, hybridization, and the devising of the HDG methods. (English) Zbl 1357.65256 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, 129-177 (2016). MSC: 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{B. Cockburn}, Lect. Notes Comput. Sci. Eng. 114, 129--177 (2016; Zbl 1357.65256) Full Text: DOI
Sevilla, Ruben; Huerta, Antonio Tutorial on hybridizable discontinuous Galerkin (HDG) for second-order elliptic problems. (English) Zbl 1356.65238 Schröder, Jörg (ed.) et al., Advanced finite element technologies. Cham: Springer (ISBN 978-3-319-31923-0/hbk; 978-3-319-31925-4/ebook). CISM Courses and Lectures 566, 105-129 (2016). MSC: 65N30 35J25 65N12 65-01 PDFBibTeX XMLCite \textit{R. Sevilla} and \textit{A. Huerta}, in: Advanced finite element technologies. Cham: Springer. 105--129 (2016; Zbl 1356.65238) Full Text: DOI Link
Dautov, R. Z.; Fedotov, Eugeny M. Hybridized schemes of the discontinuous Galerkin method for stationary convection-diffusion problems. (English. Russian original) Zbl 1410.65444 Differ. Equ. 52, No. 7, 906-925 (2016); translation from Differ. Uravn. 52, No. 2, 946-964 (2016). Reviewer: Zhiming Chen (Beijing) MSC: 65N30 PDFBibTeX XMLCite \textit{R. Z. Dautov} and \textit{E. M. Fedotov}, Differ. Equ. 52, No. 7, 906--925 (2016; Zbl 1410.65444); translation from Differ. Uravn. 52, No. 2, 946--964 (2016) Full Text: DOI
Cockburn, Bernardo; Demlow, Alan Hybridizable discontinuous Galerkin and mixed finite element methods for elliptic problems on surfaces. (English) Zbl 1416.65439 Math. Comput. 85, No. 302, 2609-2638 (2016). MSC: 65N30 58J32 65N15 PDFBibTeX XMLCite \textit{B. Cockburn} and \textit{A. Demlow}, Math. Comput. 85, No. 302, 2609--2638 (2016; Zbl 1416.65439) Full Text: DOI Link
Yakovlev, Sergey; Moxey, David; Kirby, Robert M.; Sherwin, Spencer J. To CG or to HDG: a comparative study in 3D. (English) Zbl 1339.65225 J. Sci. Comput. 67, No. 1, 192-220 (2016). MSC: 65N30 65M60 35J05 65Y05 35K05 65N12 65M12 PDFBibTeX XMLCite \textit{S. Yakovlev} et al., J. Sci. Comput. 67, No. 1, 192--220 (2016; Zbl 1339.65225) Full Text: DOI Link
Jin, Yanyi Local analysis of HDG methods for convection-dominated diffusion problems. (English) Zbl 1337.65140 J. Comput. Appl. Math. 304, 57-72 (2016). MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{Y. Jin}, J. Comput. Appl. Math. 304, 57--72 (2016; Zbl 1337.65140) Full Text: DOI