Dolejší, Vít; Roskovec, Filip Goal-oriented anisotropic \(hp\)-adaptive discontinuous Galerkin method for the Euler equations. (English) Zbl 07508610 Commun. Appl. Math. Comput. 4, No. 1, 143-179 (2022). MSC: 65N30 65N50 76H05 PDF BibTeX XML Cite \textit{V. Dolejší} and \textit{F. Roskovec}, Commun. Appl. Math. Comput. 4, No. 1, 143--179 (2022; Zbl 07508610) Full Text: DOI OpenURL
Dassi, F.; Gedicke, J.; Mascotto, L. Adaptive virtual element methods with equilibrated fluxes. (English) Zbl 07468868 Appl. Numer. Math. 173, 249-278 (2022). MSC: 65N30 65N15 65N12 65N50 35J05 PDF BibTeX XML Cite \textit{F. Dassi} et al., Appl. Numer. Math. 173, 249--278 (2022; Zbl 07468868) Full Text: DOI arXiv OpenURL
Fortunato, Daniel; Hale, Nicholas; Townsend, Alex The ultraspherical spectral element method. (English) Zbl 07513834 J. Comput. Phys. 436, Article ID 110087, 20 p. (2021). MSC: 65Nxx 35Jxx 65Fxx PDF BibTeX XML Cite \textit{D. Fortunato} et al., J. Comput. Phys. 436, Article ID 110087, 20 p. (2021; Zbl 07513834) Full Text: DOI OpenURL
Pech, Jan Spectral/hp elements in fluid structure interaction. (English) Zbl 07447614 Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 20. Proceedings of the 20th seminar (PANM), Hejnice, Czech Republic, June 21–26, 2020. Prague: Czech Academy of Sciences, Institute of Mathematics. 98-109 (2021). MSC: 65M70 74F10 76D05 65M06 65N35 65N50 65M12 35Q30 PDF BibTeX XML Cite \textit{J. Pech}, in: Programs and algorithms of numerical mathematics 20. Proceedings of the 20th seminar (PANM), Hejnice, Czech Republic, June 21--26, 2020. Prague: Czech Academy of Sciences, Institute of Mathematics. 98--109 (2021; Zbl 07447614) Full Text: DOI OpenURL
Georgoulis, Emmanuil H.; Lakkis, Omar; Wihler, Thomas P. A posteriori error bounds for fully-discrete hp-discontinuous Galerkin timestepping methods for parabolic problems. (English) Zbl 07368941 Numer. Math. 148, No. 2, 363-386 (2021). Reviewer: Dana Černá (Liberec) MSC: 65M60 65N30 65M15 65M50 PDF BibTeX XML Cite \textit{E. H. Georgoulis} et al., Numer. Math. 148, No. 2, 363--386 (2021; Zbl 07368941) Full Text: DOI arXiv OpenURL
Giani, Stefano; Solin, Pavel Solving elliptic eigenproblems with adaptive multimesh \(hp\)-FEM. (English) Zbl 1475.65181 J. Comput. Appl. Math. 394, Article ID 113528, 15 p. (2021). MSC: 65N25 65N30 65N50 35P15 PDF BibTeX XML Cite \textit{S. Giani} and \textit{P. Solin}, J. Comput. Appl. Math. 394, Article ID 113528, 15 p. (2021; Zbl 1475.65181) Full Text: DOI OpenURL
Li, Shuangshuang; Wang, Lina; Yi, Lijun An \(hp\)-version of \(C^0\)-continuous Petrov-Galerkin time-stepping method for second-order Volterra integro-differential equations with weakly singular kernels. (English) Zbl 1461.65269 East Asian J. Appl. Math. 11, No. 1, 20-42 (2021). MSC: 65R20 65M60 65M15 45D05 45K05 PDF BibTeX XML Cite \textit{S. Li} et al., East Asian J. Appl. Math. 11, No. 1, 20--42 (2021; Zbl 1461.65269) Full Text: DOI OpenURL
Nadir-Alexandre, Messai; Sébastien, Pernet hp non-conforming a priori error analysis of an interior penalty discontinuous Galerkin BEM for the Helmholtz equation. (English) Zbl 07283128 Comput. Math. Appl. 80, No. 12, 2644-2675 (2020). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{M. Nadir-Alexandre} and \textit{P. Sébastien}, Comput. Math. Appl. 80, No. 12, 2644--2675 (2020; Zbl 07283128) Full Text: DOI OpenURL
You, Tongshun Optimal \(L^\infty (H^1)\) error estimates of the \(hp\)-local discontinuous Galerkin finite element method for convection-diffusion equations. (Chinese. English summary) Zbl 1463.65381 Appl. Math., Ser. A (Chin. Ed.) 35, No. 1, 40-48 (2020). MSC: 65N30 65N15 65N50 35Q53 PDF BibTeX XML Cite \textit{T. You}, Appl. Math., Ser. A (Chin. Ed.) 35, No. 1, 40--48 (2020; Zbl 1463.65381) Full Text: DOI OpenURL
Jia, Lueling; Li, Huiyuan; Zhang, Zhimin Numerical analysis on the mortar spectral element methods for Schrödinger eigenvalue problem with an inverse square potential. (English) Zbl 1452.65316 Appl. Numer. Math. 158, 54-84 (2020). MSC: 65N25 65N30 65N35 65N12 65N15 35J10 35P15 35B65 PDF BibTeX XML Cite \textit{L. Jia} et al., Appl. Numer. Math. 158, 54--84 (2020; Zbl 1452.65316) Full Text: DOI OpenURL
Du, Yu; Wang, Jiangxing Convergence analysis of an energy based discontinuous Galerkin method for the wave equation in second-order form: \( h p\) version. (English) Zbl 1446.65109 Comput. Math. Appl. 79, No. 11, 3223-3240 (2020). MSC: 65M60 65N30 65M06 65M12 65M15 35L05 PDF BibTeX XML Cite \textit{Y. Du} and \textit{J. Wang}, Comput. Math. Appl. 79, No. 11, 3223--3240 (2020; Zbl 1446.65109) Full Text: DOI OpenURL
Moxey, David; Amici, Roman; Kirby, Mike Efficient matrix-free high-order finite element evaluation for simplicial elements. (English) Zbl 1440.65223 SIAM J. Sci. Comput. 42, No. 3, C97-C123 (2020). MSC: 65N30 65N50 65N35 65Y05 68W10 35J05 PDF BibTeX XML Cite \textit{D. Moxey} et al., SIAM J. Sci. Comput. 42, No. 3, C97--C123 (2020; Zbl 1440.65223) Full Text: DOI OpenURL
Westerdiep, Jan On \(p\)-robust saturation on quadrangulations. (English) Zbl 1437.65203 Comput. Methods Appl. Math. 20, No. 1, 169-186 (2020). MSC: 65N30 65N12 65N50 65N85 35J05 PDF BibTeX XML Cite \textit{J. Westerdiep}, Comput. Methods Appl. Math. 20, No. 1, 169--186 (2020; Zbl 1437.65203) Full Text: DOI arXiv OpenURL
Daniel, Patrik; Ern, Alexandre; Vohralík, Martin An adaptive \(hp\)-refinement strategy with inexact solvers and computable guaranteed bound on the error reduction factor. (English) Zbl 1441.65095 Comput. Methods Appl. Mech. Eng. 359, Article ID 112607, 30 p. (2020). MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{P. Daniel} et al., Comput. Methods Appl. Mech. Eng. 359, Article ID 112607, 30 p. (2020; Zbl 1441.65095) Full Text: DOI OpenURL
Giani, Stefano; Seaid, Mohammed Multi-hp adaptive discontinuous Galerkin methods for simplified \(P_{N}\) approximations of 3D radiative transfer in non-gray media. (English) Zbl 1447.80006 Appl. Numer. Math. 150, 252-273 (2020). Reviewer: Yang Yang (Wuxi) MSC: 80M10 65N30 35R09 45K05 65N50 65F08 65F10 80A21 PDF BibTeX XML Cite \textit{S. Giani} and \textit{M. Seaid}, Appl. Numer. Math. 150, 252--273 (2020; Zbl 1447.80006) Full Text: DOI OpenURL
Wei, Yichen; Sun, Tao; Yi, Lijun An \(hp\)-version of the discontinuous Galerkin time-stepping method for nonlinear second-order delay differential equations with vanishing delays. (English) Zbl 1427.65138 J. Comput. Appl. Math. 364, Article ID 112348, 21 p. (2020). MSC: 65L60 65M70 65L05 65L70 PDF BibTeX XML Cite \textit{Y. Wei} et al., J. Comput. Appl. Math. 364, Article ID 112348, 21 p. (2020; Zbl 1427.65138) Full Text: DOI OpenURL
Li, Shucai; Wang, Jing; Li, Liping; Shi, Shaoshuai; Zhou, Zongqing The theoretical and numerical analysis of water inrush through filling structures. (English) Zbl 07316692 Math. Comput. Simul. 162, 115-134 (2019). MSC: 76Dxx 76Txx 76Mxx PDF BibTeX XML Cite \textit{S. Li} et al., Math. Comput. Simul. 162, 115--134 (2019; Zbl 07316692) Full Text: DOI OpenURL
Özcan, A.; Kollmannsberger, Stefan; Jomo, J.; Rank, E. Residual stresses in metal deposition modeling: discretizations of higher order. (English) Zbl 1443.65363 Comput. Math. Appl. 78, No. 7, 2247-2266 (2019). MSC: 65N30 74N15 PDF BibTeX XML Cite \textit{A. Özcan} et al., Comput. Math. Appl. 78, No. 7, 2247--2266 (2019; Zbl 1443.65363) Full Text: DOI arXiv OpenURL
Bartoš, Ondřej; Dolejší, Vít; May, Georg; Rangarajan, Ajay; Roskovec, Filip A goal-oriented anisotropic \(hp\)-mesh adaptation method for linear convection-diffusion-reaction problems. (English) Zbl 1443.65311 Comput. Math. Appl. 78, No. 9, 2973-2993 (2019). MSC: 65N30 PDF BibTeX XML Cite \textit{O. Bartoš} et al., Comput. Math. Appl. 78, No. 9, 2973--2993 (2019; Zbl 1443.65311) Full Text: DOI OpenURL
Gimperlein, Heiko; Özdemir, Ceyhun; Stark, David; Stephan, Ernst P. \(hp\)-version time domain boundary elements for the wave equation on quasi-uniform meshes. (English) Zbl 1441.65074 Comput. Methods Appl. Mech. Eng. 356, 145-174 (2019). MSC: 65M38 PDF BibTeX XML Cite \textit{H. Gimperlein} et al., Comput. Methods Appl. Mech. Eng. 356, 145--174 (2019; Zbl 1441.65074) Full Text: DOI arXiv OpenURL
Bosi, Umberto; Engsig-Karup, Allan P.; Eskilsson, Claes; Ricchiuto, Mario A spectral/\(h p\) element depth-integrated model for nonlinear wave-body interaction. (English) Zbl 1440.76051 Comput. Methods Appl. Mech. Eng. 348, 222-249 (2019). MSC: 76M10 65M60 76B15 PDF BibTeX XML Cite \textit{U. Bosi} et al., Comput. Methods Appl. Mech. Eng. 348, 222--249 (2019; Zbl 1440.76051) Full Text: DOI OpenURL
Dolejší, Vít; Kuraz, Michal; Solin, Pavel Adaptive higher-order space-time discontinuous Galerkin method for the computer simulation of variably-saturated porous media flows. (English) Zbl 1481.76209 Appl. Math. Modelling 72, 276-305 (2019). MSC: 76S05 65M50 65M60 PDF BibTeX XML Cite \textit{V. Dolejší} et al., Appl. Math. Modelling 72, 276--305 (2019; Zbl 1481.76209) Full Text: DOI OpenURL
Gervasio, Paola; Quarteroni, Alfio The INTERNODES method for non-conforming discretizations of PDEs. (English) Zbl 1449.65344 Commun. Appl. Math. Comput. 1, No. 3, 361-401 (2019). MSC: 65N55 65N30 65N12 65D05 65N35 76S05 PDF BibTeX XML Cite \textit{P. Gervasio} and \textit{A. Quarteroni}, Commun. Appl. Math. Comput. 1, No. 3, 361--401 (2019; Zbl 1449.65344) Full Text: DOI OpenURL
Antonietti, Paola; Canuto, Claudio; Verani, Marco An adaptive \(hp\)-DG-FE method for elliptic problems: convergence and optimality in the 1D case. (English) Zbl 1449.65310 Commun. Appl. Math. Comput. 1, No. 3, 309-331 (2019). MSC: 65N30 65N50 PDF BibTeX XML Cite \textit{P. Antonietti} et al., Commun. Appl. Math. Comput. 1, No. 3, 309--331 (2019; Zbl 1449.65310) Full Text: DOI OpenURL
Maday, Yvon; Marcati, Carlo Regularity and \(hp\) discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials. (English) Zbl 1431.65209 Math. Models Methods Appl. Sci. 29, No. 8, 1585-1617 (2019). MSC: 65N25 35J10 65N30 65N12 35B65 65F15 65F05 65F08 35P10 PDF BibTeX XML Cite \textit{Y. Maday} and \textit{C. Marcati}, Math. Models Methods Appl. Sci. 29, No. 8, 1585--1617 (2019; Zbl 1431.65209) Full Text: DOI arXiv OpenURL
Canuto, Claudio Adaptive \(hp\)-FEM for eigenvalue computations. (English) Zbl 1427.65351 Calcolo 56, No. 4, Paper No. 39, 25 p. (2019). MSC: 65N30 65N25 65N50 PDF BibTeX XML Cite \textit{C. Canuto}, Calcolo 56, No. 4, Paper No. 39, 25 p. (2019; Zbl 1427.65351) Full Text: DOI OpenURL
Zhou, Bingzhen; Wang, Bo; Wang, Lilian; Xie, Ziqing A new triangular spectral element method. II: Mixed formulation and \(hp\)-error estimates. (English) Zbl 1438.65302 Numer. Math., Theory Methods Appl. 12, No. 1, 72-97 (2019). MSC: 65N30 65N35 65N22 65N15 PDF BibTeX XML Cite \textit{B. Zhou} et al., Numer. Math., Theory Methods Appl. 12, No. 1, 72--97 (2019; Zbl 1438.65302) Full Text: DOI OpenURL
Dong, Zhaonan On the exponent of exponential convergence of \(p\)-version FEM spaces. (English) Zbl 1415.65253 Adv. Comput. Math. 45, No. 2, 757-785 (2019). MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{Z. Dong}, Adv. Comput. Math. 45, No. 2, 757--785 (2019; Zbl 1415.65253) Full Text: DOI arXiv OpenURL
Congreve, Scott; Gedicke, Joscha; Perugia, Ilaria Robust adaptive \(hp\) discontinuous Galerkin finite element methods for the Helmholtz equation. (English) Zbl 1414.65029 SIAM J. Sci. Comput. 41, No. 2, A1121-A1147 (2019). MSC: 65N15 65N30 65N50 35J05 PDF BibTeX XML Cite \textit{S. Congreve} et al., SIAM J. Sci. Comput. 41, No. 2, A1121--A1147 (2019; Zbl 1414.65029) Full Text: DOI arXiv OpenURL
Asadzadeh, Mohammad; Kowalczyk, Piotr; Standar, Christoffer On \(hp\)-streamline diffusion and Nitsche schemes for the relativistic Vlasov-Maxwell system. (English) Zbl 1410.65346 Kinet. Relat. Models 12, No. 1, 105-131 (2019). MSC: 65M12 65M15 65M60 35L50 35Q83 35Q61 65M06 PDF BibTeX XML Cite \textit{M. Asadzadeh} et al., Kinet. Relat. Models 12, No. 1, 105--131 (2019; Zbl 1410.65346) Full Text: DOI arXiv OpenURL
Banz, Lothar; Petsche, Jan; Schröder, Andreas Hybridization and stabilization for hp-finite element methods. (English) Zbl 1407.65280 Appl. Numer. Math. 136, 66-102 (2019). MSC: 65N30 35R09 65N15 PDF BibTeX XML Cite \textit{L. Banz} et al., Appl. Numer. Math. 136, 66--102 (2019; Zbl 1407.65280) Full Text: DOI OpenURL
Sabouri, Mania; Dehghan, Mehdi A \(hk\) mortar spectral element method for the \(p\)-Laplacian equation. (English) Zbl 1434.65298 Comput. Math. Appl. 76, No. 7, 1803-1826 (2018). MSC: 65N35 65N12 35J92 35J25 35J70 35J60 PDF BibTeX XML Cite \textit{M. Sabouri} and \textit{M. Dehghan}, Comput. Math. Appl. 76, No. 7, 1803--1826 (2018; Zbl 1434.65298) Full Text: DOI OpenURL
Daniel, Patrik; Ern, Alexandre; Smears, Iain; Vohralík, Martin An adaptive \(hp\)-refinement strategy with computable guaranteed bound on the error reduction factor. (English) Zbl 1427.65356 Comput. Math. Appl. 76, No. 5, 967-983 (2018). MSC: 65N30 65N12 65N50 65N15 35J05 PDF BibTeX XML Cite \textit{P. Daniel} et al., Comput. Math. Appl. 76, No. 5, 967--983 (2018; Zbl 1427.65356) Full Text: DOI arXiv OpenURL
Giani, Stefano \(HP\)-adaptive celatus enriched discontinuous Galerkin method for second-order elliptic source problems. (English) Zbl 1402.65157 SIAM J. Sci. Comput. 40, No. 5, B1391-B1418 (2018). MSC: 65N30 65N50 49M15 35J15 PDF BibTeX XML Cite \textit{S. Giani}, SIAM J. Sci. Comput. 40, No. 5, B1391--B1418 (2018; Zbl 1402.65157) Full Text: DOI OpenURL
Huang, Jianguo; Huang, Xuehai An hp-version error analysis of the discontinuous Galerkin method for linear elasticity. (English) Zbl 1395.74084 Appl. Numer. Math. 133, 83-99 (2018). MSC: 74S05 65M60 74B05 PDF BibTeX XML Cite \textit{J. Huang} and \textit{X. Huang}, Appl. Numer. Math. 133, 83--99 (2018; Zbl 1395.74084) Full Text: DOI arXiv OpenURL
Houston, Paul; Wihler, Thomas P. An \(hp\)-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems. (English) Zbl 1410.65449 Math. Comput. 87, No. 314, 2641-2674 (2018). Reviewer: Konstantinos Chrysafinos (Athens) MSC: 65N30 35J61 35J25 65H10 PDF BibTeX XML Cite \textit{P. Houston} and \textit{T. P. Wihler}, Math. Comput. 87, No. 314, 2641--2674 (2018; Zbl 1410.65449) Full Text: DOI arXiv OpenURL
Zamolo, Riccardo; Parussini, Lucia; Pediroda, Valentino Distributed Lagrange multiplier functions for fictitious domain method with spectral/hp element discretization. (English) Zbl 1398.65182 J. Sci. Comput. 74, No. 2, 805-825 (2018). MSC: 65L10 65N35 PDF BibTeX XML Cite \textit{R. Zamolo} et al., J. Sci. Comput. 74, No. 2, 805--825 (2018; Zbl 1398.65182) Full Text: DOI OpenURL
Constantinou, P.; Xenophontos, C. An \(hp\) finite element method for a 4th order singularly perturbed boundary value problem in two dimensions. (English) Zbl 1397.65257 Comput. Math. Appl. 74, No. 7, 1565-1575 (2017). MSC: 65N30 65N12 35B25 PDF BibTeX XML Cite \textit{P. Constantinou} and \textit{C. Xenophontos}, Comput. Math. Appl. 74, No. 7, 1565--1575 (2017; Zbl 1397.65257) Full Text: DOI OpenURL
Pinheiro, D. C. C.; Barros, F. B.; Pitangueira, R. L. S.; Penna, S. S. High regularity partition of unity for structural physically non-linear analysis. (English) Zbl 1403.74120 Eng. Anal. Bound. Elem. 83, 43-54 (2017). MSC: 74S05 65N30 74R05 PDF BibTeX XML Cite \textit{D. C. C. Pinheiro} et al., Eng. Anal. Bound. Elem. 83, 43--54 (2017; Zbl 1403.74120) Full Text: DOI OpenURL
Xenophontos, Christos; Constantinou, Philippos; Varnava, Charalambia An \(hp\) finite element method for fourth order singularly perturbed problems. (English) Zbl 1382.65212 Bittencourt, Marco L. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2016. Selected papers from the ICOSAHOM conference, June 27 – July 1, 2016, Rio de Janeiro, Brazil. Cham: Springer (ISBN 978-3-319-65869-8/hbk; 978-3-319-65870-4/ebook). Lecture Notes in Computational Science and Engineering 119, 681-692 (2017). MSC: 65L11 65L10 34B05 34E15 65L60 65L20 PDF BibTeX XML Cite \textit{C. Xenophontos} et al., Lect. Notes Comput. Sci. Eng. 119, 681--692 (2017; Zbl 1382.65212) Full Text: DOI OpenURL
Jomo, John N.; Zander, Nils; Elhaddad, Mohamed; Özcan, Ali; Kollmannsberger, Stefan; Mundani, Ralf-Peter; Rank, Ernst Parallelization of the multi-level \(hp\)-adaptive finite cell method. (English) Zbl 1375.65151 Comput. Math. Appl. 74, No. 1, 126-142 (2017). MSC: 65N30 65N50 65N55 65Y05 65Y20 35J25 PDF BibTeX XML Cite \textit{J. N. Jomo} et al., Comput. Math. Appl. 74, No. 1, 126--142 (2017; Zbl 1375.65151) Full Text: DOI arXiv OpenURL
Dolejší, Vít; May, Georg; Roskovec, Filip; Solin, Pavel Anisotropic \(hp\)-mesh optimization technique based on the continuous mesh and error models. (English) Zbl 1375.65166 Comput. Math. Appl. 74, No. 1, 45-63 (2017). MSC: 65N50 65N15 65N30 35J25 PDF BibTeX XML Cite \textit{V. Dolejší} et al., Comput. Math. Appl. 74, No. 1, 45--63 (2017; Zbl 1375.65166) Full Text: DOI OpenURL
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul \(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. (English) Zbl 1382.65307 SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-319-67671-5/pbk; 978-3-319-67673-9/ebook). viii, 131 p. (2017). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65M60 65N30 65-02 65M08 65M12 65M15 65M50 65N50 35M12 35J25 35L02 65N12 PDF BibTeX XML Cite \textit{A. Cangiani} et al., \(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Cham: Springer (2017; Zbl 1382.65307) Full Text: DOI OpenURL
Byfut, Andreas; Schröder, Andreas Unsymmetric multi-level hanging nodes and anisotropic polynomial degrees in \(H^1\)-conforming higher-order finite element methods. (English) Zbl 1373.65081 Comput. Math. Appl. 73, No. 9, 2092-2150 (2017). MSC: 65N30 65N50 PDF BibTeX XML Cite \textit{A. Byfut} and \textit{A. Schröder}, Comput. Math. Appl. 73, No. 9, 2092--2150 (2017; Zbl 1373.65081) Full Text: DOI OpenURL
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco On \(p\)-robust saturation for \(hp\)-AFEM. (English) Zbl 1373.65082 Comput. Math. Appl. 73, No. 9, 2004-2022 (2017). MSC: 65N30 65N15 65N50 35J05 PDF BibTeX XML Cite \textit{C. Canuto} et al., Comput. Math. Appl. 73, No. 9, 2004--2022 (2017; Zbl 1373.65082) Full Text: DOI arXiv OpenURL
Liu, Zhengguang; Cheng, Aijie; Wang, Hong An \(hp\)-Galerkin method with fast solution for linear peridynamic models in one dimension. (English) Zbl 1372.65310 Comput. Math. Appl. 73, No. 7, 1546-1565 (2017). MSC: 65N30 65T50 65N50 35J25 15B05 PDF BibTeX XML Cite \textit{Z. Liu} et al., Comput. Math. Appl. 73, No. 7, 1546--1565 (2017; Zbl 1372.65310) Full Text: DOI OpenURL
Aurada, M.; Feischl, M.; Führer, T.; Karkulik, M.; Melenk, J. M.; Praetorius, D. Local inverse estimates for non-local boundary integral operators. (English) Zbl 1368.65242 Math. Comput. 86, No. 308, 2651-2686 (2017). MSC: 65N38 65N15 35J05 PDF BibTeX XML Cite \textit{M. Aurada} et al., Math. Comput. 86, No. 308, 2651--2686 (2017; Zbl 1368.65242) Full Text: DOI arXiv OpenURL
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco Convergence and optimality of \({\mathbf {hp}}\)-AFEM. (English) Zbl 1364.65241 Numer. Math. 135, No. 4, 1073-1119 (2017). MSC: 65N30 65N12 65N50 PDF BibTeX XML Cite \textit{C. Canuto} et al., Numer. Math. 135, No. 4, 1073--1119 (2017; Zbl 1364.65241) Full Text: DOI arXiv OpenURL
Cohen, Gary; Pernet, Sébastien Finite element and discontinuous Galerkin methods for transient wave equations. (English) Zbl 1360.65233 Scientific Computation. Dordrecht: Springer (ISBN 978-94-017-7759-9/hbk; 978-94-017-7761-2/ebook). xvii, 381 p. (2017). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65M60 65-02 65M12 65M15 35L05 74S05 76M10 78M10 35Q61 74B05 PDF BibTeX XML Cite \textit{G. Cohen} and \textit{S. Pernet}, Finite element and discontinuous Galerkin methods for transient wave equations. Dordrecht: Springer (2017; Zbl 1360.65233) Full Text: DOI OpenURL
Barrio-Garrido, R. M.; Garcia-Castillo, L. E.; Gomez-Revuelto, I.; Salazar-Palma, M. Self-adaptive \(hp\) finite element method with iterative mesh truncation technique accelerated with adaptive cross approximation. (English) Zbl 1443.65309 Comput. Math. Appl. 71, No. 10, 1911-1932 (2016). MSC: 65N30 65N50 PDF BibTeX XML Cite \textit{R. M. Barrio-Garrido} et al., Comput. Math. Appl. 71, No. 10, 1911--1932 (2016; Zbl 1443.65309) Full Text: DOI OpenURL
Moxey, D.; Cantwell, C. D.; Kirby, R. M.; Sherwin, S. J. Optimising the performance of the spectral/\(hp\) element method with collective linear algebra operations. (English) Zbl 1439.65206 Comput. Methods Appl. Mech. Eng. 310, 628-645 (2016). MSC: 65N35 65N22 65N30 PDF BibTeX XML Cite \textit{D. Moxey} et al., Comput. Methods Appl. Mech. Eng. 310, 628--645 (2016; Zbl 1439.65206) Full Text: DOI OpenURL
You, Tongshun The three-step implicit-explicit hp-local discontinuous Galerkin finite element method for nonlinear convection diffusion problems. (Chinese. English summary) Zbl 1374.65172 Appl. Math., Ser. A (Chin. Ed.) 31, No. 4, 491-500 (2016). MSC: 65M60 35K55 35Q53 65M15 PDF BibTeX XML Cite \textit{T. You}, Appl. Math., Ser. A (Chin. Ed.) 31, No. 4, 491--500 (2016; Zbl 1374.65172) OpenURL
Constantinou, Philippos; Varnava, Charalambia; Xenophontos, Christos An \(hp\) finite element method for \(4^{\mathrm{th}}\) order singularly perturbed problems. (English) Zbl 1360.65201 Numer. Algorithms 73, No. 2, 567-590 (2016). Reviewer: Srinivasan Natesan (Assam) MSC: 65L11 65L60 65L70 65L10 34B05 34E15 65L20 PDF BibTeX XML Cite \textit{P. Constantinou} et al., Numer. Algorithms 73, No. 2, 567--590 (2016; Zbl 1360.65201) Full Text: DOI OpenURL
Zolotareva, N. D.; Nikolaev, E. S. Implementation and efficiency analysis of an adaptive hp-finite element method for solving boundary value problems for the stationary reaction-diffusion equation. (English. Russian original) Zbl 1351.65054 Comput. Math. Math. Phys. 56, No. 5, 764-782 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 5, 777-795 (2016). MSC: 65L60 65L10 65L11 34B05 34E15 65L20 PDF BibTeX XML Cite \textit{N. D. Zolotareva} and \textit{E. S. Nikolaev}, Comput. Math. Math. Phys. 56, No. 5, 764--782 (2016; Zbl 1351.65054); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 5, 777--795 (2016) Full Text: DOI OpenURL
Beirão da Veiga, L.; Chernov, A.; Mascotto, L.; Russo, A. Basic principles of \(hp\) virtual elements on quasiuniform meshes. (English) Zbl 1344.65109 Math. Models Methods Appl. Sci. 26, No. 8, 1567-1598 (2016). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65N30 65N12 65N50 35J05 65N15 PDF BibTeX XML Cite \textit{L. Beirão da Veiga} et al., Math. Models Methods Appl. Sci. 26, No. 8, 1567--1598 (2016; Zbl 1344.65109) Full Text: DOI arXiv OpenURL
Hiptmair, R.; Moiola, A.; Perugia, I. Plane wave discontinuous Galerkin methods: exponential convergence of the \(hp\)-version. (English) Zbl 1347.65176 Found. Comput. Math. 16, No. 3, 637-675 (2016). Reviewer: Ivan Secrieru (Chişinău) MSC: 65N30 65N50 35J05 65N12 PDF BibTeX XML Cite \textit{R. Hiptmair} et al., Found. Comput. Math. 16, No. 3, 637--675 (2016; Zbl 1347.65176) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Yakovlev} et al., J. Sci. Comput. 67, No. 1, 192--220 (2016; Zbl 1339.65225) Full Text: DOI Link OpenURL
Panaseti, Pandelitsa; Zouvani, Antri; Madden, Niall; Xenophontos, Christos A \(C^{1}\)-conforming \(hp\) finite element method for fourth order singularly perturbed boundary value problems. (English) Zbl 1336.65124 Appl. Numer. Math. 104, 81-97 (2016). MSC: 65L60 34B05 34E15 65L11 65L50 65L20 PDF BibTeX XML Cite \textit{P. Panaseti} et al., Appl. Numer. Math. 104, 81--97 (2016; Zbl 1336.65124) Full Text: DOI OpenURL
Führer, T.; Melenk, J. M.; Praetorius, Dirk; Rieder, Alexander Optimal additive Schwarz methods for the \(hp\)-BEM: the hypersingular integral operator in 3D on locally refined meshes. (English) Zbl 1443.65403 Comput. Math. Appl. 70, No. 7, 1583-1605 (2015). MSC: 65N38 65N55 45E05 PDF BibTeX XML Cite \textit{T. Führer} et al., Comput. Math. Appl. 70, No. 7, 1583--1605 (2015; Zbl 1443.65403) Full Text: DOI arXiv OpenURL
Giani, Stefano \(hp\)-adaptive composite discontinuous Galerkin methods for elliptic eigenvalue problems on complicated domains. (English) Zbl 1410.65436 Appl. Math. Comput. 267, 604-617 (2015). MSC: 65N25 35J25 35P05 65N30 PDF BibTeX XML Cite \textit{S. Giani}, Appl. Math. Comput. 267, 604--617 (2015; Zbl 1410.65436) Full Text: DOI OpenURL
Schwab, Christoph Exponential convergence of simplicial hp-FEM for \(H^1\)-functions with isotropic singularities. (English) Zbl 1352.65548 Kirby, Robert M. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2014. Selected papers from the ICOSAHOM conference, June 23–27, 2014, Salt Lake City, UT, USA. Cham: Springer (ISBN 978-3-319-19799-9/hbk; 978-3-319-19800-2/ebook). Lecture Notes in Computational Science and Engineering 106, 435-444 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65N30 35J25 65N12 65N50 PDF BibTeX XML Cite \textit{C. Schwab}, Lect. Notes Comput. Sci. Eng. 106, 435--444 (2015; Zbl 1352.65548) Full Text: DOI OpenURL
Wachsmuth, D.; Wurst, J.-E. An interior point method designed for solving linear quadratic optimal control problems with \(hp\) finite elements. (English) Zbl 1329.49057 Optim. Methods Softw. 30, No. 6, 1276-1302 (2015). MSC: 49M37 49M25 49N10 90C51 49J20 65K05 65N30 PDF BibTeX XML Cite \textit{D. Wachsmuth} and \textit{J. E. Wurst}, Optim. Methods Softw. 30, No. 6, 1276--1302 (2015; Zbl 1329.49057) Full Text: DOI OpenURL
Karaa, Samir; Pani, Amiya K.; Yadav, Sangita A priori \(hp\)-estimates for discontinuous Galerkin approximations to linear hyperbolic integro-differential equations. (English) Zbl 1329.65224 Appl. Numer. Math. 96, 1-23 (2015). MSC: 65M60 45K05 35R09 65M12 65M15 PDF BibTeX XML Cite \textit{S. Karaa} et al., Appl. Numer. Math. 96, 1--23 (2015; Zbl 1329.65224) Full Text: DOI arXiv OpenURL
Schötzau, Dominik; Schwab, Christoph Exponential convergence for \(hp\)-version and spectral finite element methods for elliptic problems in polyhedra. (English) Zbl 1322.65099 Math. Models Methods Appl. Sci. 25, No. 9, 1617-1661 (2015). Reviewer: Abdallah Bradji (Annaba) MSC: 65N12 65N30 65N50 35J25 PDF BibTeX XML Cite \textit{D. Schötzau} and \textit{C. Schwab}, Math. Models Methods Appl. Sci. 25, No. 9, 1617--1661 (2015; Zbl 1322.65099) Full Text: DOI OpenURL
Bantle, Markus; Funken, Stefan Efficient and accurate implementation of \(hp\)-BEM for the Laplace operator in 2D. (English) Zbl 1320.65185 Appl. Numer. Math. 95, 51-61 (2015). MSC: 65N38 PDF BibTeX XML Cite \textit{M. Bantle} and \textit{S. Funken}, Appl. Numer. Math. 95, 51--61 (2015; Zbl 1320.65185) Full Text: DOI OpenURL
Bürg, Markus; Nazarov, Murtazo Goal-oriented adaptive finite element methods for elliptic problems revisited. (English) Zbl 1316.65098 J. Comput. Appl. Math. 287, 125-147 (2015). MSC: 65N30 65N12 65N15 65N50 35J05 PDF BibTeX XML Cite \textit{M. Bürg} and \textit{M. Nazarov}, J. Comput. Appl. Math. 287, 125--147 (2015; Zbl 1316.65098) Full Text: DOI OpenURL
Zander, Nils; Bog, Tino; Kollmannsberger, Stefan; Schillinger, Dominik; Rank, Ernst Multi-level \(hp\)-adaptivity: high-order mesh adaptivity without the difficulties of constraining hanging nodes. (English) Zbl 1311.74133 Comput. Mech. 55, No. 3, 499-517 (2015). MSC: 74S05 65N50 65N30 PDF BibTeX XML Cite \textit{N. Zander} et al., Comput. Mech. 55, No. 3, 499--517 (2015; Zbl 1311.74133) Full Text: DOI OpenURL
Bolis, A.; Cantwell, C. D.; Kirby, R. M.; Sherwin, S. J. From \(h\) to \(p\) efficiently: optimal implementation strategies for explicit time-dependent problems using the spectral/\(hp\) element method. (English) Zbl 1455.65190 Int. J. Numer. Methods Fluids 75, No. 8, 591-607 (2014). MSC: 65M70 65M60 PDF BibTeX XML Cite \textit{A. Bolis} et al., Int. J. Numer. Methods Fluids 75, No. 8, 591--607 (2014; Zbl 1455.65190) Full Text: DOI OpenURL
Barucq, Hélène; Djellouli, Rabia; Estecahandy, Elodie Efficient DG-like formulation equipped with curved boundary edges for solving elasto-acoustic scattering problems. (English) Zbl 1352.74101 Int. J. Numer. Methods Eng. 98, No. 10, 747-780 (2014). MSC: 74F10 74S05 65N30 74J20 PDF BibTeX XML Cite \textit{H. Barucq} et al., Int. J. Numer. Methods Eng. 98, No. 10, 747--780 (2014; Zbl 1352.74101) Full Text: DOI OpenURL
Gonçalves, João L.; Gomes, Sônia M.; Devloo, Philippe R. B. A goal-oriented \(hp\)-adaptive discontinuous Galerkin approach for biharmonic problems. (English) Zbl 1352.65504 Int. J. Numer. Methods Eng. 97, No. 4, 274-297 (2014). MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{J. L. Gonçalves} et al., Int. J. Numer. Methods Eng. 97, No. 4, 274--297 (2014; Zbl 1352.65504) Full Text: DOI OpenURL
Eskilsson, Claes; Engsig-Karup, Allan P. On devising Boussinesq-type models with bounded eigenspectra: one horizontal dimension. (English) Zbl 1349.76200 J. Comput. Phys. 271, 261-280 (2014). MSC: 76M10 65M60 65M70 76B15 86A05 PDF BibTeX XML Cite \textit{C. Eskilsson} and \textit{A. P. Engsig-Karup}, J. Comput. Phys. 271, 261--280 (2014; Zbl 1349.76200) Full Text: DOI OpenURL
Wang, Li-Lian; Zhang, Jing; Zhang, Zhimin On \(hp\)-convergence of prolate spheroidal wave functions and a new well-conditioned prolate-collocation scheme. (English) Zbl 1349.65255 J. Comput. Phys. 268, 377-398 (2014). MSC: 65L60 33E10 65D30 65L10 65L20 PDF BibTeX XML Cite \textit{L.-L. Wang} et al., J. Comput. Phys. 268, 377--398 (2014; Zbl 1349.65255) Full Text: DOI arXiv OpenURL
Cantwell, Chris D.; Yakovlev, Sergey; Kirby, Robert M.; Peters, Nicholas S.; Sherwin, Spencer J. High-order spectral/\(hp\) element discretisation for reaction-diffusion problems on surfaces: application to cardiac electrophysiology. (English) Zbl 1349.92007 J. Comput. Phys. 257, Part A, 813-829 (2014). MSC: 92-08 92C30 65M60 PDF BibTeX XML Cite \textit{C. D. Cantwell} et al., J. Comput. Phys. 257, Part A, 813--829 (2014; Zbl 1349.92007) Full Text: DOI OpenURL
Schnepp, Sascha M. Error-driven dynamical \(hp\)-meshes with the discontinuous Galerkin method for three-dimensional wave propagation problems. (English) Zbl 1330.78019 J. Comput. Appl. Math. 270, 353-368 (2014). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M10 78M15 78A50 65M60 65M50 PDF BibTeX XML Cite \textit{S. M. Schnepp}, J. Comput. Appl. Math. 270, 353--368 (2014; Zbl 1330.78019) Full Text: DOI arXiv OpenURL
Giani, Stefano An \(hp\)-adaptive discontinuous Galerkin method for plasmonic waveguides. (A \(hp\)-adaptive discontinuous Galerkin method for plasmonic waveguides.) (English) Zbl 1331.78026 J. Comput. Appl. Math. 270, 12-20 (2014). Reviewer: Georg Hebermehl (Berlin) MSC: 78M10 65N15 65N30 65N50 78A50 78A60 81V80 82D80 PDF BibTeX XML Cite \textit{S. Giani}, J. Comput. Appl. Math. 270, 12--20 (2014; Zbl 1331.78026) Full Text: DOI OpenURL
Gwinner, J.; Thalhammer, M. Full discretisations for nonlinear evolutionary inequalities based on stiffly accurate Runge-Kutta and \(hp\)-finite element methods. (English) Zbl 1308.65108 Found. Comput. Math. 14, No. 5, 913-949 (2014). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K15 49J40 35K61 35K86 47J05 47J20 47J22 47H05 65M12 PDF BibTeX XML Cite \textit{J. Gwinner} and \textit{M. Thalhammer}, Found. Comput. Math. 14, No. 5, 913--949 (2014; Zbl 1308.65108) Full Text: DOI OpenURL
King, James; Yakovlev, Sergey; Fu, Zhisong; Kirby, Robert M.; Sherwin, Spencer J. Exploiting batch processing on streaming architectures to solve 2D elliptic finite element problems: a hybridized discontinuous Galerkin (HDG) case study. (English) Zbl 1304.65250 J. Sci. Comput. 60, No. 2, 457-482 (2014). MSC: 65N30 35J05 65Y05 65Y10 PDF BibTeX XML Cite \textit{J. King} et al., J. Sci. Comput. 60, No. 2, 457--482 (2014; Zbl 1304.65250) Full Text: DOI OpenURL
Giani, Stefano; Houston, Paul \(hp\)-adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains. (English) Zbl 1298.65173 Numer. Methods Partial Differ. Equations 30, No. 4, 1342-1367 (2014). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{S. Giani} and \textit{P. Houston}, Numer. Methods Partial Differ. Equations 30, No. 4, 1342--1367 (2014; Zbl 1298.65173) Full Text: DOI OpenURL
Canuto, Claudio; Pavarino, Luca F.; Pieri, Alexandre B. BDDC preconditioners for continuous and discontinuous Galerkin methods using spectral/\(hp\) elements with variable local polynomial degree. (English) Zbl 1297.65150 IMA J. Numer. Anal. 34, No. 3, 879-903 (2014). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65F08 35J25 65N55 PDF BibTeX XML Cite \textit{C. Canuto} et al., IMA J. Numer. Anal. 34, No. 3, 879--903 (2014; Zbl 1297.65150) Full Text: DOI OpenURL
Buffa, Annalisa; Sangalli, Giancarlo; Schwab, Christoph Exponential convergence of the \(hp\) version of isogeometric analysis in 1D. (English) Zbl 1282.65090 Azaïez, Mejdi (ed.) et al., Spectral and high order methods for partial differential equations – ICOSAHOM 2012. Selected papers from the ICOSAHOM conference, Gammarth, Tunisia, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-01600-9/hbk; 978-3-319-01601-6/ebook). Lecture Notes in Computational Science and Engineering 95, 191-203 (2014). MSC: 65L20 34B05 65L60 65L10 PDF BibTeX XML Cite \textit{A. Buffa} et al., Lect. Notes Comput. Sci. Eng. 95, 191--203 (2014; Zbl 1282.65090) Full Text: DOI OpenURL
Dolejší, Vít hp-DGFEM for nonlinear convection-diffusion problems. (English) Zbl 07310369 Math. Comput. Simul. 87, 87-118 (2013). MSC: 65N30 65N50 65N22 PDF BibTeX XML Cite \textit{V. Dolejší}, Math. Comput. Simul. 87, 87--118 (2013; Zbl 07310369) Full Text: DOI OpenURL
Brazell, Michael J.; Helenbrook, Brian T. \(p=2\) continuous finite elements on tetrahedra with local mass matrix inversion to solve the preconditioned compressible Navier-Stokes equations. (English) Zbl 1391.76307 Comput. Fluids 88, 643-652 (2013). MSC: 76M10 65M60 76Nxx PDF BibTeX XML Cite \textit{M. J. Brazell} and \textit{B. T. Helenbrook}, Comput. Fluids 88, 643--652 (2013; Zbl 1391.76307) Full Text: DOI OpenURL
Chleboun, Jan On the optimal setting of the \(hp\)-version of the finite element method. (English) Zbl 1340.65156 Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 16. Proceedings of the 16th seminar (PANM), Dolní Maxov, Czech Republic, June 3–8, 2012. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-62-2). 45-50 (2013). MSC: 65L60 65K10 65L10 34B05 90C27 65Y05 PDF BibTeX XML Cite \textit{J. Chleboun}, in: Programs and algorithms of numerical mathematics 16. Proceedings of the 16th seminar (PANM), Dolní Maxov, Czech Republic, June 3--8, 2012. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 45--50 (2013; Zbl 1340.65156) Full Text: Link OpenURL
Giani, Stefano An a posteriori error estimator for \(hp\)-adaptive continuous Galerkin methods for photonic crystal applications. (English) Zbl 1311.78015 Computing 95, No. 5, 395-414 (2013). MSC: 78A60 65N25 65N30 65N50 65N15 78A40 78A50 PDF BibTeX XML Cite \textit{S. Giani}, Computing 95, No. 5, 395--414 (2013; Zbl 1311.78015) Full Text: DOI OpenURL
Bürg, M. Convergence of an automatic \(hp\)-adaptive finite element strategy for Maxwell’s equations. (English) Zbl 1304.78013 Appl. Numer. Math. 72, 188-204 (2013). MSC: 78M10 65N30 65N15 65N50 65N12 PDF BibTeX XML Cite \textit{M. Bürg}, Appl. Numer. Math. 72, 188--204 (2013; Zbl 1304.78013) Full Text: DOI OpenURL
Gwinner, Joachim \(hp\)-FEM convergence for unilateral contact problems with Tresca friction in plane linear elastostatics. (English) Zbl 1290.74041 J. Comput. Appl. Math. 254, 175-184 (2013). MSC: 74S05 74M15 65N30 PDF BibTeX XML Cite \textit{J. Gwinner}, J. Comput. Appl. Math. 254, 175--184 (2013; Zbl 1290.74041) Full Text: DOI OpenURL
Strug, Barbara; Paszynśka, Anna; Paszynśki, Maciej; Grabska, Ewa Using a graph grammar system in the finite element method. (English) Zbl 1284.68335 Int. J. Appl. Math. Comput. Sci. 23, No. 4, 839-853 (2013). MSC: 68Q42 65M50 68R10 PDF BibTeX XML Cite \textit{B. Strug} et al., Int. J. Appl. Math. Comput. Sci. 23, No. 4, 839--853 (2013; Zbl 1284.68335) Full Text: DOI OpenURL
Nicaise, Serge; Xenophontos, Christos Robust approximation of singularly perturbed delay differential equations by the \(hp\) finite element method. (English) Zbl 1284.65090 Comput. Methods Appl. Math. 13, No. 1, 21-37 (2013). MSC: 65L11 65L60 65L70 PDF BibTeX XML Cite \textit{S. Nicaise} and \textit{C. Xenophontos}, Comput. Methods Appl. Math. 13, No. 1, 21--37 (2013; Zbl 1284.65090) Full Text: DOI 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
Bank, Randolph E.; Nguyen, Hieu A parallel \(hp\)-adaptive finite element method. (English) Zbl 1280.65123 Li, Jichun (ed.) et al., Recent advances in scientific computing and applications. Eighth international conference on scientific computing and applications, University of Nevada, Las Vegas, NV, USA, April 1–4, 2012. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8737-0/hbk; 978-0-8218-9501-6/ebook). Contemporary Mathematics 586, 23-33 (2013). MSC: 65N30 65N50 65N55 65Y05 65N15 PDF BibTeX XML Cite \textit{R. E. Bank} and \textit{H. Nguyen}, Contemp. Math. 586, 23--33 (2013; Zbl 1280.65123) Full Text: DOI OpenURL
Nicaise, Serge; Xenophontos, Christos Convergence analysis of an \(hp\) finite element method for singularly perturbed transmission problems in smooth domains. (English) Zbl 1280.65117 Numer. Methods Partial Differ. Equations 29, No. 6, 2107-2132 (2013). Reviewer: Abdallah Bradji (Annaba) MSC: 65N12 65N30 35J25 35B25 PDF BibTeX XML Cite \textit{S. Nicaise} and \textit{C. Xenophontos}, Numer. Methods Partial Differ. Equations 29, No. 6, 2107--2132 (2013; Zbl 1280.65117) Full Text: DOI arXiv OpenURL
Hewett, D. P.; Langdon, S.; Melenk, J. M. A high frequency \(hp\) boundary element method for scattering by convex polygons. (English) Zbl 1267.65191 SIAM J. Numer. Anal. 51, No. 1, 629-653 (2013). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 65N12 35J05 65N15 PDF BibTeX XML Cite \textit{D. P. Hewett} et al., SIAM J. Numer. Anal. 51, No. 1, 629--653 (2013; Zbl 1267.65191) Full Text: DOI OpenURL
Armentano, M. G.; Padra, C.; Rodríguez, R.; Scheble, M. An hp adaptive strategy to compute the vibration modes of a fluid-solid coupled system. (English) Zbl 1356.74190 CMES, Comput. Model. Eng. Sci. 84, No. 4, 359-382 (2012). MSC: 74S05 76M10 65N30 74F10 PDF BibTeX XML Cite \textit{M. G. Armentano} et al., CMES, Comput. Model. Eng. Sci. 84, No. 4, 359--382 (2012; Zbl 1356.74190) Full Text: DOI OpenURL
Gomez-Revuelto, Ignacio; Garcia-Castillo, Luis E.; Llorente-Romano, Sergio; Pardo, David A three-dimensional self-adaptive \(hp\) finite element method for the characterization of waveguide discontinuities. (English) Zbl 1348.78025 Comput. Methods Appl. Mech. Eng. 249-252, 62-74 (2012). MSC: 78M10 78A50 65N30 PDF BibTeX XML Cite \textit{I. Gomez-Revuelto} et al., Comput. Methods Appl. Mech. Eng. 249--252, 62--74 (2012; Zbl 1348.78025) Full Text: DOI OpenURL
Dolejší, Vít An adaptive \(hp\)-discontinuous Galerkin approach for nonlinear convection-diffusion problems. (English) Zbl 1313.65302 Brandts, J. (ed.) et al., Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, May 2–5, 2012. In honor of the 60th birthday of Michal Křížek. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-60-8/pbk). 72-82 (2012). Reviewer: Miloslav Feistauer (Praha) MSC: 65N30 35J60 65N15 65N50 PDF BibTeX XML Cite \textit{V. Dolejší}, in: Proceedings of the international conference `Applications of mathematics', Prague, Czech Republic, May 2--5, 2012. In honor of the 60th birthday of Michal Křížek. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 72--82 (2012; Zbl 1313.65302) Full Text: Link OpenURL
Massjung, Ralf An unfitted discontinuous Galerkin method applied to elliptic interface problems. (English) Zbl 1262.65178 SIAM J. Numer. Anal. 50, No. 6, 3134-3162 (2012). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N15 35R05 35J25 PDF BibTeX XML Cite \textit{R. Massjung}, SIAM J. Numer. Anal. 50, No. 6, 3134--3162 (2012; Zbl 1262.65178) Full Text: DOI Link OpenURL
Bespalov, Alexei; Heuer, Norbert Natural \(hp\)-BEM for the electric field integral equation with singular solutions. (English) Zbl 1260.65106 Numer. Methods Partial Differ. Equations 28, No. 5, 1466-1480 (2012). Reviewer: Weizhong Dai (Ruston) MSC: 65N38 78M15 PDF BibTeX XML Cite \textit{A. Bespalov} and \textit{N. Heuer}, Numer. Methods Partial Differ. Equations 28, No. 5, 1466--1480 (2012; Zbl 1260.65106) Full Text: DOI arXiv OpenURL
Schnepp, Sascha M.; Weiland, Thomas Efficient large scale electromagnetic simulations using dynamically adapted meshes with the discontinuous Galerkin method. (English) Zbl 1458.78023 J. Comput. Appl. Math. 236, No. 18, 4909-4924 (2012). MSC: 78M10 65M60 65M22 65N30 65N50 78A25 78A45 35Q61 PDF BibTeX XML Cite \textit{S. M. Schnepp} and \textit{T. Weiland}, J. Comput. Appl. Math. 236, No. 18, 4909--4924 (2012; Zbl 1458.78023) Full Text: DOI arXiv OpenURL
Segeth, Karel A comparison of a posteriori error estimates for biharmonic problems solved by the FEM. (English) Zbl 1250.65133 J. Comput. Appl. Math. 236, No. 18, 4788-4797 (2012). MSC: 65N15 65N30 35J40 PDF BibTeX XML Cite \textit{K. Segeth}, J. Comput. Appl. Math. 236, No. 18, 4788--4797 (2012; Zbl 1250.65133) Full Text: DOI OpenURL
Brazell, Michael J.; Helenbrook, Brian T. \(P = 2\) continuous finite elements on tetrahedra with local mass matrix inversion. (English) Zbl 1242.74098 Comput. Methods Appl. Mech. Eng. 213-216, 289-298 (2012). MSC: 74S05 65N30 PDF BibTeX XML Cite \textit{M. J. Brazell} and \textit{B. T. Helenbrook}, Comput. Methods Appl. Mech. Eng. 213--216, 289--298 (2012; Zbl 1242.74098) Full Text: DOI OpenURL