Gbéya, Samuel; Houédanou, Koffi Wilfrid; Nyaga, Lewis; Ahounou, Bernardin Residual-based a posteriori error estimates for the \(hp\) version of the finite element discretization of the elliptic Robin boundary control problem. (English) Zbl 07534468 Results Appl. Math. 14, Article ID 100278, 25 p. (2022). MSC: 65N30 65N35 65N50 65N15 65K10 49K20 35J25 35B45 PDF BibTeX XML Cite \textit{S. Gbéya} et al., Results Appl. Math. 14, Article ID 100278, 25 p. (2022; Zbl 07534468) Full Text: DOI OpenURL
Tóth, Balázs Natural frequency analysis of shells of revolution based on hybrid dual-mixed \(hp\)-finite element formulation. (English) Zbl 1481.74519 Appl. Math. Modelling 98, 722-746 (2021). MSC: 74K25 65N30 PDF BibTeX XML Cite \textit{B. Tóth}, Appl. Math. Modelling 98, 722--746 (2021; Zbl 1481.74519) Full Text: DOI OpenURL
Markus Melenk, Jens; Rieder, Alexander \(hp\)-FEM for the fractional heat equation. (English) Zbl 1466.65141 IMA J. Numer. Anal. 41, No. 1, 412-454 (2021). MSC: 65M60 65M12 35K05 35Q79 35R11 PDF BibTeX XML Cite \textit{J. Markus Melenk} and \textit{A. Rieder}, IMA J. Numer. Anal. 41, No. 1, 412--454 (2021; Zbl 1466.65141) Full Text: DOI arXiv OpenURL
Melenk, Jens M.; Sauter, Stefan A.; Torres, Céline Wavenumber explicit analysis for Galerkin discretizations of lossy Helmholtz problems. (English) Zbl 1445.35130 SIAM J. Numer. Anal. 58, No. 4, 2119-2143 (2020). MSC: 35J05 65N30 65N12 PDF BibTeX XML Cite \textit{J. M. Melenk} et al., SIAM J. Numer. Anal. 58, No. 4, 2119--2143 (2020; Zbl 1445.35130) Full Text: DOI arXiv 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
Ghesmati, Arezou; Bangerth, Wolfgang; Turcksin, Bruno Residual-based a posteriori error estimation for \(hp\)-adaptive finite element methods for the Stokes equations. (English) Zbl 1435.65201 J. Numer. Math. 27, No. 4, 237-252 (2019). MSC: 65N30 65N15 76D07 65N50 PDF BibTeX XML Cite \textit{A. Ghesmati} et al., J. Numer. Math. 27, No. 4, 237--252 (2019; Zbl 1435.65201) Full Text: DOI arXiv OpenURL
Banz, Lothar; Petsche, Jan; Schröder, Andreas Explicit and implicit reconstructions of the potential in dual mixed \(hp\)-finite element methods. (English) Zbl 1433.65260 Apel, Thomas (ed.) et al., Advanced finite element methods with applications. Selected papers from the 30th Chemnitz finite element symposium, St. Wolfgang/Strobl, Austria, September 25–27, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 128, 17-40 (2019). MSC: 65N15 65N30 65N50 35J05 35J25 65N12 PDF BibTeX XML Cite \textit{L. Banz} et al., Lect. Notes Comput. Sci. Eng. 128, 17--40 (2019; Zbl 1433.65260) 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
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
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; Houston, Paul; Perugia, Ilaria Adaptive refinement for \(hp\)-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. (English) Zbl 1419.65105 Adv. Comput. Math. 45, No. 1, 361-393 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N50 35J05 78M10 PDF BibTeX XML Cite \textit{S. Congreve} et al., Adv. Comput. Math. 45, No. 1, 361--393 (2019; Zbl 1419.65105) 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
Meidner, Dominik; Pfefferer, Johannes; Schürholz, Klemens; Vexler, Boris \(hp\)-finite elements for fractional diffusion. (English) Zbl 1397.65282 SIAM J. Numer. Anal. 56, No. 4, 2345-2374 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 35R11 35S15 65R20 65N12 PDF BibTeX XML Cite \textit{D. Meidner} et al., SIAM J. Numer. Anal. 56, No. 4, 2345--2374 (2018; Zbl 1397.65282) Full Text: DOI arXiv 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
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
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H. \(hp\)-version space-time discontinuous Galerkin methods for parabolic problems on prismatic meshes. (English) Zbl 1371.65106 SIAM J. Sci. Comput. 39, No. 4, A1251-A1279 (2017). MSC: 65M60 35K90 65J08 65M50 65M15 PDF BibTeX XML Cite \textit{A. Cangiani} et al., SIAM J. Sci. Comput. 39, No. 4, A1251--A1279 (2017; Zbl 1371.65106) Full Text: DOI arXiv 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
Houston, Paul; Wihler, Thomas P. Adaptive energy minimisation for \(hp\)-finite element methods. (English) Zbl 1443.65335 Comput. Math. Appl. 71, No. 4, 977-990 (2016). MSC: 65N30 65N35 PDF BibTeX XML Cite \textit{P. Houston} and \textit{T. P. Wihler}, Comput. Math. Appl. 71, No. 4, 977--990 (2016; Zbl 1443.65335) Full Text: DOI arXiv 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
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
Lu, Zuliang; Zhang, Shuhua; Hou, Chuanjuan; Liu, Hongyan Residual-based a posteriori error estimates for hp finite element solutions of semilinear Neumann boundary optimal control problems. (English) Zbl 1333.49007 Bound. Value Probl. 2016, Paper No. 59, 18 p. (2016). MSC: 49J20 65N30 PDF BibTeX XML Cite \textit{Z. Lu} et al., Bound. Value Probl. 2016, Paper No. 59, 18 p. (2016; Zbl 1333.49007) 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
Ledger, Paul D.; Lionheart, William R. B. Characterizing the shape and material properties of hidden targets from magnetic induction data. (English) Zbl 1334.35334 IMA J. Appl. Math. 80, No. 6, 1776-1798 (2015). MSC: 35Q60 78A30 78M10 65N30 PDF BibTeX XML Cite \textit{P. D. Ledger} and \textit{W. R. B. Lionheart}, IMA J. Appl. Math. 80, No. 6, 1776--1798 (2015; Zbl 1334.35334) 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
Gatto, Paolo; Hesthaven, Jan S. Numerical approximation of the fractional Laplacian via \(hp\)-finite elements, with an application to image denoising. (English) Zbl 1329.65272 J. Sci. Comput. 65, No. 1, 249-270 (2015). MSC: 65N30 35J70 65D18 94A08 65N12 PDF BibTeX XML Cite \textit{P. Gatto} and \textit{J. S. Hesthaven}, J. Sci. Comput. 65, No. 1, 249--270 (2015; Zbl 1329.65272) Full Text: DOI OpenURL
Sauter, S.; Zech, J. A posteriori error estimation of \(hp\)-dG finite element methods for highly indefinite Helmholtz problems. (English) Zbl 1325.65147 SIAM J. Numer. Anal. 53, No. 5, 2414-2440 (2015). MSC: 65N12 65N30 35J05 PDF BibTeX XML Cite \textit{S. Sauter} and \textit{J. Zech}, SIAM J. Numer. Anal. 53, No. 5, 2414--2440 (2015; Zbl 1325.65147) Full Text: DOI arXiv OpenURL
Korneev, Vadim Glebovich; Langer, Ulrich Dirichlet-Dirichlet domain decomposition methods for elliptic problems. \(h\) and \(hp\) finite element discretizations. (English) Zbl 1323.65121 Hackensack, NJ: World Scientific (ISBN 978-981-4578-45-5/hbk; 978-981-4578-47-9/ebook). xx, 463 p. (2015). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N55 65-02 65N30 65N35 65N22 65F08 74S05 74S25 35J25 74B05 PDF BibTeX XML Cite \textit{V. G. Korneev} and \textit{U. Langer}, Dirichlet-Dirichlet domain decomposition methods for elliptic problems. \(h\) and \(hp\) finite element discretizations. Hackensack, NJ: World Scientific (2015; Zbl 1323.65121) Full Text: DOI OpenURL
Ainsworth, Mark; Andriamaro, Gaelle; Davydov, Oleg A Bernstein-Bézier basis for arbitrary order Raviart-Thomas finite elements. (English) Zbl 1315.65096 Constr. Approx. 41, No. 1, 1-22 (2015). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 65N25 35Q61 PDF BibTeX XML Cite \textit{M. Ainsworth} et al., Constr. Approx. 41, No. 1, 1--22 (2015; Zbl 1315.65096) Full Text: DOI OpenURL
Congreve, Scott; Houston, Paul Two-grid \(hp\)-version discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows. (English) Zbl 07485166 Int. J. Numer. Anal. Model. 11, No. 3, 496-524 (2014). MSC: 65N30 65N55 65M60 PDF BibTeX XML Cite \textit{S. Congreve} and \textit{P. Houston}, Int. J. Numer. Anal. Model. 11, No. 3, 496--524 (2014; Zbl 07485166) Full Text: Link 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
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 PDF BibTeX XML Cite \textit{A. Cangiani} et al., Math. Models Methods Appl. Sci. 24, No. 10, 2009--2041 (2014; Zbl 1298.65167) Full Text: DOI OpenURL
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria; Schwab, Christoph Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz \(hp\)-dGFEM. (English) Zbl 1295.31004 ESAIM, Math. Model. Numer. Anal. 48, No. 3, 727-752 (2014). Reviewer: H. P. Dikshit (Bhopal) MSC: 31A05 30E10 65N30 PDF BibTeX XML Cite \textit{R. Hiptmair} et al., ESAIM, Math. Model. Numer. Anal. 48, No. 3, 727--752 (2014; Zbl 1295.31004) 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
Bank, Randolph E.; Parsania, Asieh; Sauter, Stefan Saturation estimates for \(hp\)-finite element methods. (English) Zbl 1380.65359 Comput. Vis. Sci. 16, No. 5, 195-217 (2013). MSC: 65N30 65N15 65N35 65N50 PDF BibTeX XML Cite \textit{R. E. Bank} et al., Comput. Vis. Sci. 16, No. 5, 195--217 (2013; Zbl 1380.65359) 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
Melenk, J. M.; Parsania, A.; Sauter, S. General DG-methods for highly indefinite Helmholtz problems. (English) Zbl 1292.65128 J. Sci. Comput. 57, No. 3, 536-581 (2013). MSC: 65N30 PDF BibTeX XML Cite \textit{J. M. Melenk} et al., J. Sci. Comput. 57, No. 3, 536--581 (2013; Zbl 1292.65128) Full Text: DOI Link OpenURL
Dörfler, Willy; Sauter, Stefan A posteriori error estimation for highly indefinite Helmholtz problems. (English) Zbl 1287.35002 Comput. Methods Appl. Math. 13, No. 3, 333-347 (2013). MSC: 35J05 65N12 65N30 PDF BibTeX XML Cite \textit{W. Dörfler} and \textit{S. Sauter}, Comput. Methods Appl. Math. 13, No. 3, 333--347 (2013; Zbl 1287.35002) Full Text: DOI Link OpenURL
Dörsek, Philipp; Melenk, Jens M. Symmetry-free, \(p\)-robust equilibrated error indication for the \(hp\)-version of the FEM in nearly incompressible linear elasticity. (English) Zbl 1357.74060 Comput. Methods Appl. Math. 13, No. 3, 291-304 (2013). MSC: 74S05 65N30 65N15 74B05 PDF BibTeX XML Cite \textit{P. Dörsek} and \textit{J. M. Melenk}, Comput. Methods Appl. Math. 13, No. 3, 291--304 (2013; Zbl 1357.74060) 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
Congreve, Scott; Houston, Paul; Wihler, Thomas P. Two-grid \(hp\)-version discontinuous Galerkin finite element methods for second-order quasilinear elliptic PDEs. (English) Zbl 1279.65132 J. Sci. Comput. 55, No. 2, 471-497 (2013). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N30 65N15 35J62 PDF BibTeX XML Cite \textit{S. Congreve} et al., J. Sci. Comput. 55, No. 2, 471--497 (2013; Zbl 1279.65132) 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
Pardo, David; Paszynski, Maciej; Collier, Nathan; Alvarez, Julen; Dalcin, Lisandro; Calo, Victor M. A survey on direct solvers for Galerkin methods. (English) Zbl 1311.65030 S\(\vec{\text{e}}\)MA J. 57, 107-134 (2012). MSC: 65F05 65-02 65Y05 65F35 65F50 65N30 65G50 PDF BibTeX XML Cite \textit{D. Pardo} et al., S\(\vec{\text{e}}\)MA J. 57, 107--134 (2012; Zbl 1311.65030) Full Text: DOI OpenURL
Peterseim, D.; Sauter, S. Finite elements for elliptic problems with highly varying, nonperiodic diffusion matrix. (English) Zbl 1264.65195 Multiscale Model. Simul. 10, No. 3, 665-695 (2012). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 35B65 35J57 PDF BibTeX XML Cite \textit{D. Peterseim} and \textit{S. Sauter}, Multiscale Model. Simul. 10, No. 3, 665--695 (2012; Zbl 1264.65195) Full Text: DOI OpenURL
Ledger, P. D. \(hp\)-finite element discretisation of the electrical impedance tomography problem. (English) Zbl 1253.78044 Comput. Methods Appl. Mech. Eng. 225-228, 154-176 (2012). MSC: 78A70 78M10 65M60 94A08 94A20 PDF BibTeX XML Cite \textit{P. D. Ledger}, Comput. Methods Appl. Mech. Eng. 225--228, 154--176 (2012; Zbl 1253.78044) 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
Tóth, Balázs Dual-mixed \(hp\) finite element model for elastic cylindrical shells. (English) Zbl 1241.74036 ZAMM, Z. Angew. Math. Mech. 92, No. 3, 236-252 (2012). MSC: 74S05 74K25 PDF BibTeX XML Cite \textit{B. Tóth}, ZAMM, Z. Angew. Math. Mech. 92, No. 3, 236--252 (2012; Zbl 1241.74036) Full Text: DOI OpenURL
Kocsán, Lajos György Derivation of a dual-mixed \(hp\)-finite element model for axisymmetrically loaded cylindrical shells. (English) Zbl 1271.74413 Arch. Appl. Mech. 81, No. 12, 1953-1971 (2011). MSC: 74S05 74K25 PDF BibTeX XML Cite \textit{L. G. Kocsán}, Arch. Appl. Mech. 81, No. 12, 1953--1971 (2011; Zbl 1271.74413) Full Text: DOI OpenURL
Galán del Sastre, Pedro; Bermejo, Rodolfo Error analysis for hp-FEM semi-Lagrangian second order BDF method for convection-dominated diffusion problems. (English) Zbl 1242.65184 J. Sci. Comput. 49, No. 2, 211-237 (2011). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65M15 65M60 35K20 PDF BibTeX XML Cite \textit{P. Galán del Sastre} and \textit{R. Bermejo}, J. Sci. Comput. 49, No. 2, 211--237 (2011; Zbl 1242.65184) Full Text: DOI OpenURL
Rachowicz, W.; Zdunek, A. Application of the FEM with adaptivity for electromagnetic inverse medium scattering problems. (English) Zbl 1230.78017 Comput. Methods Appl. Mech. Eng. 200, No. 29-32, 2337-2347 (2011). MSC: 78A46 78M10 PDF BibTeX XML Cite \textit{W. Rachowicz} and \textit{A. Zdunek}, Comput. Methods Appl. Mech. Eng. 200, No. 29--32, 2337--2347 (2011; Zbl 1230.78017) Full Text: DOI OpenURL
Melenk, J. M.; Sauter, S. Wavenumber explicit convergence analysis for Galerkin discretizations of the Helmholtz equation. (English) Zbl 1229.35038 SIAM J. Numer. Anal. 49, No. 3, 1210-1243 (2011). MSC: 35J05 65N12 65N30 35J40 PDF BibTeX XML Cite \textit{J. M. Melenk} and \textit{S. Sauter}, SIAM J. Numer. Anal. 49, No. 3, 1210--1243 (2011; Zbl 1229.35038) Full Text: DOI Link OpenURL
Bürg, M.; Dörfler, W. Convergence of an adaptive \(hp\) finite element strategy in higher space-dimensions. (English) Zbl 1230.65115 Appl. Numer. Math. 61, No. 11, 1132-1146 (2011). Reviewer: Abdallah Bradji (Annaba) MSC: 65N12 65N30 35J25 65N50 PDF BibTeX XML Cite \textit{M. Bürg} and \textit{W. Dörfler}, Appl. Numer. Math. 61, No. 11, 1132--1146 (2011; Zbl 1230.65115) Full Text: DOI OpenURL
Schröder, Andreas Constrained approximation in \(hp\)-FEM: unsymmetric subdivisions and multi-level hanging nodes. (English) Zbl 1216.65161 Hesthaven, Jan S. (ed.) et al., Spectral and high order methods for partial differential equations. Selected papers from the 8th ICOSAHOM ’09 conference, Trondheim, Norway, June 22–26, 2009. Berlin: Springer (ISBN 978-3-642-15336-5/hbk; 978-3-642-15337-2/ebook). Lecture Notes in Computational Science and Engineering 76, 317-325 (2011). MSC: 65N30 65N50 35J05 PDF BibTeX XML Cite \textit{A. Schröder}, Lect. Notes Comput. Sci. Eng. 76, 317--325 (2011; Zbl 1216.65161) Full Text: DOI OpenURL
Chen, Yanping; Lin, Yijie A posteriori error estimates for \(hp\) finite element solutions of convex optimal control problems. (English) Zbl 1217.65120 J. Comput. Appl. Math. 235, No. 12, 3435-3454 (2011). Reviewer: Hans Benker (Merseburg) MSC: 65K10 49J20 65N30 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{Y. Lin}, J. Comput. Appl. Math. 235, No. 12, 3435--3454 (2011; Zbl 1217.65120) Full Text: DOI OpenURL
Gong, Wei; Liu, Wenbin; Yan, Ningning A posteriori error estimators for \(hp\)-FEM for optimal control problems. (English) Zbl 1213.49038 Int. J. Numer. Anal. Model. 8, No. 1, 48-69 (2011). MSC: 49M30 65N30 PDF BibTeX XML Cite \textit{W. Gong} et al., Int. J. Numer. Anal. Model. 8, No. 1, 48--69 (2011; Zbl 1213.49038) Full Text: Link OpenURL
Farmer, David; Ivers, David J. Aspects of a hybrid hp-finite element/spectral method for the linearised magnetohydrodynamic equations in spherical geometries. (English) Zbl 1386.76188 ANZIAM J. 52C, Proc. 2010, C379-C394 (2010). MSC: 76W05 76M10 65M60 PDF BibTeX XML Cite \textit{D. Farmer} and \textit{D. J. Ivers}, ANZIAM J. 52C, C379--C394 (2010; Zbl 1386.76188) Full Text: DOI OpenURL
Frazier, Joseph D.; Jimack, Peter K.; Kirby, Robert M. On the use of adjoint-based sensitivity estimates to control local mesh refinement. (English) Zbl 1364.65194 Commun. Comput. Phys. 7, No. 3, 631-638 (2010). MSC: 65M60 PDF BibTeX XML Cite \textit{J. D. Frazier} et al., Commun. Comput. Phys. 7, No. 3, 631--638 (2010; Zbl 1364.65194) Full Text: DOI Link OpenURL
Xu, J.; Ostroumov, P. N.; Mustapha, B.; Nolen, J. Scalable direct Vlasov solver with discontinuous Galerkin method on unstructured mesh. (English) Zbl 1278.82052 SIAM J. Sci. Comput. 32, No. 6, 3476-3494 (2010). MSC: 82C80 65M50 65M60 68W10 76X05 82D10 PDF BibTeX XML Cite \textit{J. Xu} et al., SIAM J. Sci. Comput. 32, No. 6, 3476--3494 (2010; Zbl 1278.82052) Full Text: DOI OpenURL
Xenophontos, Christos; Oberbroeckling, Lisa On the finite element approximation of systems of reaction-diffusion equations by \(p/hp\) methods. (English) Zbl 1224.65275 J. Comput. Math. 28, No. 3, 386-400 (2010). MSC: 65N30 65N12 35J25 65N15 PDF BibTeX XML Cite \textit{C. Xenophontos} and \textit{L. Oberbroeckling}, J. Comput. Math. 28, No. 3, 386--400 (2010; Zbl 1224.65275) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{J. M. Melenk} and \textit{S. Sauter}, Math. Comput. 79, No. 272, 1871--1914 (2010; Zbl 1205.65301) Full Text: DOI OpenURL
Chen, Zhiming; Guo, Benqi; Xiao, Yuanming An \(hp\) adaptive uniaxial perfectly matched layer method for Helmholtz scattering problems. (English) Zbl 1364.65245 Commun. Comput. Phys. 5, No. 2-4, 546-564 (2009). MSC: 65N30 65N15 65N50 78A45 PDF BibTeX XML Cite \textit{Z. Chen} et al., Commun. Comput. Phys. 5, No. 2--4, 546--564 (2009; Zbl 1364.65245) Full Text: Link OpenURL
Helenbrook, B. T. On the existence of explicit \(hp\)-finite element methods using Gauss-Lobatto integration on the triangle. (English) Zbl 1191.65154 SIAM J. Numer. Anal. 47, No. 2, 1304-1318 (2009). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65D32 74S05 74S25 76M10 76M22 PDF BibTeX XML Cite \textit{B. T. Helenbrook}, SIAM J. Numer. Anal. 47, No. 2, 1304--1318 (2009; Zbl 1191.65154) Full Text: DOI OpenURL
Huber, M.; Schöberl, J.; Sinwel, A.; Zaglmayr, S. Simulation of diffraction in periodic media with a coupled finite element and plane wave approach. (English) Zbl 1229.78010 SIAM J. Sci. Comput. 31, No. 2, 1500-1517 (2009). MSC: 78M10 78A45 65N30 35Q61 65N50 PDF BibTeX XML Cite \textit{M. Huber} et al., SIAM J. Sci. Comput. 31, No. 2, 1500--1517 (2009; Zbl 1229.78010) Full Text: DOI Link OpenURL
Hackbusch, W. Convolution of \(hp\)-functions on locally refined grids. (English) Zbl 1181.65041 IMA J. Numer. Anal. 29, No. 4, 960-985 (2009). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 65M60 65R10 41A55 44A35 PDF BibTeX XML Cite \textit{W. Hackbusch}, IMA J. Numer. Anal. 29, No. 4, 960--985 (2009; Zbl 1181.65041) Full Text: DOI OpenURL
Kumar, N. K.; Dutt, P. K.; Upadhyay, C. S. Nonconforming spectral/\(hp\) element methods for elliptic systems. (English) Zbl 1170.65334 J. Numer. Math. 17, No. 2, 119-142 (2009). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N30 65N35 35J25 65N12 65N15 65N50 65Y05 65Y20 65F10 65F35 PDF BibTeX XML Cite \textit{N. K. Kumar} et al., J. Numer. Math. 17, No. 2, 119--142 (2009; Zbl 1170.65334) Full Text: DOI OpenURL
Gudi, Thirupathi; Nataraj, Neela; Pani, Amiya K. On \(L^2\)-error estimate for nonsymmetric interior penalty Galerkin approximation to linear elliptic problems with nonhomogeneous Dirichlet data. (English) Zbl 1167.65061 J. Comput. Appl. Math. 228, No. 1, 30-40 (2009). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N15 65N30 35J05 PDF BibTeX XML Cite \textit{T. Gudi} et al., J. Comput. Appl. Math. 228, No. 1, 30--40 (2009; Zbl 1167.65061) Full Text: DOI OpenURL
Braess, Dietrich; Pillwein, Veronika; Schöberl, Joachim Equilibrated residual error estimates are \(p\)-robust. (English) Zbl 1157.65483 Comput. Methods Appl. Mech. Eng. 198, No. 13-14, 1189-1197 (2009). MSC: 65N30 PDF BibTeX XML Cite \textit{D. Braess} et al., Comput. Methods Appl. Mech. Eng. 198, No. 13--14, 1189--1197 (2009; Zbl 1157.65483) Full Text: DOI OpenURL
Baitsch, Matthias; Hartmann, Dietrich Piecewise polynomial shape functions for \(hp\)-finite element methods. (English) Zbl 1157.65479 Comput. Methods Appl. Mech. Eng. 198, No. 13-14, 1126-1137 (2009). MSC: 65N30 PDF BibTeX XML Cite \textit{M. Baitsch} and \textit{D. Hartmann}, Comput. Methods Appl. Mech. Eng. 198, No. 13--14, 1126--1137 (2009; Zbl 1157.65479) Full Text: DOI OpenURL
Pardo, D.; Demkowicz, L.; Torres-Verdín, C.; Michler, C. PML enhanced with a self-adaptive goal-oriented \(hp\)-finite element method: Simulation of through-casing borehole resistivity measurements. (English) Zbl 1185.78019 SIAM J. Sci. Comput. 30, No. 6, 2948-2964 (2008). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 78M10 65M60 78A45 86A25 PDF BibTeX XML Cite \textit{D. Pardo} et al., SIAM J. Sci. Comput. 30, No. 6, 2948--2964 (2008; Zbl 1185.78019) Full Text: DOI OpenURL
Xenophontos, Christos The \(hp\) finite element method for singularly perturbed systems of reaction-diffusion equations. (English) Zbl 1163.65057 Neural Parallel Sci. Comput. 16, No. 3, 337-352 (2008). MSC: 65L60 65L10 34B05 34E15 PDF BibTeX XML Cite \textit{C. Xenophontos}, Neural Parallel Sci. Comput. 16, No. 3, 337--352 (2008; Zbl 1163.65057) OpenURL
Schröder, A. Constraints coefficients in \(hp\)-FEM. (English) Zbl 1157.65493 Kunisch, Karl (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, the 7th European conference on numerical mathematics and advanced applications, Graz, Austria, September 10–14, 2007. Berlin: Springer (ISBN 978-3-540-69776-3/hbk). 183-190 (2008). MSC: 65N30 65N50 PDF BibTeX XML Cite \textit{A. Schröder}, in: Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, the 7th European conference on numerical mathematics and advanced applications, Graz, Austria, September 10--14, 2007. Berlin: Springer. 183--190 (2008; Zbl 1157.65493) Full Text: DOI OpenURL
Pardo, D.; Torres-Verdín, C.; Paszynski, M. Simulations of 3D DC borehole resistivity measurements with a goal-oriented \(hp\) finite-element method. Part II: Through-casing resistivity instruments. (English) Zbl 1148.78303 Comput. Geosci. 12, No. 1, 83-89 (2008). MSC: 78A30 78M10 PDF BibTeX XML Cite \textit{D. Pardo} et al., Comput. Geosci. 12, No. 1, 83--89 (2008; Zbl 1148.78303) Full Text: DOI OpenURL
Šolín, Pavel; Červený, Jakub; Doležel, Ivo Arbitrary-level hanging nodes and automatic adaptivity in the \(hp\)-FEM. (English) Zbl 1135.65394 Math. Comput. Simul. 77, No. 1, 117-132 (2008). MSC: 65N30 65N50 35J05 74B05 74S05 PDF BibTeX XML Cite \textit{P. Šolín} et al., Math. Comput. Simul. 77, No. 1, 117--132 (2008; Zbl 1135.65394) Full Text: DOI OpenURL
Gudi, Thirupathi; Nataraj, Neela; Pani, Amiya K. An \(hp\)-local discontinuous Galerkin method for some quasilinear elliptic boundary value problems of nonmonotone type. (English) Zbl 1147.65093 Math. Comput. 77, No. 262, 731-756 (2008). Reviewer: Georg Hebermehl (Berlin) MSC: 65N30 65N12 65N15 35J65 PDF BibTeX XML Cite \textit{T. Gudi} et al., Math. Comput. 77, No. 262, 731--756 (2008; Zbl 1147.65093) Full Text: DOI OpenURL
Georgoulis, Emmanuil H. Inverse-type estimates on \(hp\)-finite element spaces and applications. (English) Zbl 1130.65063 Math. Comput. 77, No. 261, 201-219 (2008). Reviewer: Iulian Coroian (Baia Mare) MSC: 65J05 65R20 65N30 65N38 PDF BibTeX XML Cite \textit{E. H. Georgoulis}, Math. Comput. 77, No. 261, 201--219 (2008; Zbl 1130.65063) Full Text: DOI OpenURL
Pardo, D.; Demkowicz, L.; Torres-Verdín, C.; Paszynski, M. A self-adaptive goal-oriented \(hp\)-finite element method with electromagnetic applications. II: Electrodynamics. (English) Zbl 1173.78320 Comput. Methods Appl. Mech. Eng. 196, No. 37-40, 3585-3597 (2007). MSC: 78M10 PDF BibTeX XML Cite \textit{D. Pardo} et al., Comput. Methods Appl. Mech. Eng. 196, No. 37--40, 3585--3597 (2007; Zbl 1173.78320) Full Text: DOI OpenURL
Kurtz, J.; Demkowicz, L. A fully automatic \(hp\)-adaptivity for elliptic PDEs in three dimensions. (English) Zbl 1173.65357 Comput. Methods Appl. Mech. Eng. 196, No. 37-40, 3534-3545 (2007). MSC: 65N30 65N50 PDF BibTeX XML Cite \textit{J. Kurtz} and \textit{L. Demkowicz}, Comput. Methods Appl. Mech. Eng. 196, No. 37--40, 3534--3545 (2007; Zbl 1173.65357) Full Text: DOI OpenURL
Eibner, T.; Melenk, J. M. An adaptive strategy for \(hp\)-FEM based on testing for analyticity. (English) Zbl 1163.65331 Comput. Mech. 39, No. 5, 575-595 (2007). MSC: 65N30 65N15 35J05 PDF BibTeX XML Cite \textit{T. Eibner} and \textit{J. M. Melenk}, Comput. Mech. 39, No. 5, 575--595 (2007; Zbl 1163.65331) Full Text: DOI OpenURL
Vejchodský, T.; Šolin, P. Discrete maximum principle for a 1D problem with piecewise-constant coefficients solved by \(hp\)-FEM. (English) Zbl 1172.65045 J. Numer. Math. 15, No. 3, 233-243 (2007). Reviewer: Viorel Arnăutu (Iaşi) MSC: 65L60 65L10 34B05 PDF BibTeX XML Cite \textit{T. Vejchodský} and \textit{P. Šolin}, J. Numer. Math. 15, No. 3, 233--243 (2007; Zbl 1172.65045) OpenURL
Lasis, Andris; Süli, Endre \(hp\)-version discontinuous Galerkin finite element method for semilinear parabolic problems. (English) Zbl 1155.65073 SIAM J. Numer. Anal. 45, No. 4, 1544-1569 (2007). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M15 65M60 35K55 PDF BibTeX XML Cite \textit{A. Lasis} and \textit{E. Süli}, SIAM J. Numer. Anal. 45, No. 4, 1544--1569 (2007; Zbl 1155.65073) Full Text: DOI OpenURL
Šolín, Pavel; Vejchodský, Tomáš; Zítka, Martin; Ávila, Francisco Imposing orthogonality to hierarchic higher-order finite elements. (English) Zbl 1135.65396 Math. Comput. Simul. 76, No. 1-3, 211-217 (2007). MSC: 65N30 35J05 PDF BibTeX XML Cite \textit{P. Šolín} et al., Math. Comput. Simul. 76, No. 1--3, 211--217 (2007; Zbl 1135.65396) Full Text: DOI OpenURL
Gudi, Thirupathi; Pani, Amiya K. Discontinuous Galerkin methods for quasi-linear elliptic problems of nonmonotone type. (English) Zbl 1140.65082 SIAM J. Numer. Anal. 45, No. 1, 163-192 (2007). Reviewer: R. Militaru (Craiova) MSC: 65N30 65N12 65N15 35J65 PDF BibTeX XML Cite \textit{T. Gudi} and \textit{A. K. Pani}, SIAM J. Numer. Anal. 45, No. 1, 163--192 (2007; Zbl 1140.65082) Full Text: DOI OpenURL
Ledger, P. D.; Morgan, K.; Hassan, O. Electromagnetic scattering simulation using an \(\mathbf {\text H}\)(curl) conforming \(hp\) finite element method in three dimensions. (English) Zbl 1129.78020 Int. J. Numer. Methods Fluids 53, No. 8, 1267-1296 (2007). MSC: 78M10 78A45 65N50 65F50 65F05 65Y05 PDF BibTeX XML Cite \textit{P. D. Ledger} et al., Int. J. Numer. Methods Fluids 53, No. 8, 1267--1296 (2007; Zbl 1129.78020) Full Text: DOI OpenURL
Rachowicz, W.; Pardo, D.; Demkowicz, L. Fully automatic \(hp\)-adaptivity in three dimensions. (English) Zbl 1193.65203 Comput. Methods Appl. Mech. Eng. 195, No. 37-40, 4816-4842 (2006). MSC: 65N30 35L15 PDF BibTeX XML Cite \textit{W. Rachowicz} et al., Comput. Methods Appl. Mech. Eng. 195, No. 37--40, 4816--4842 (2006; Zbl 1193.65203) Full Text: DOI OpenURL
Dey, Saikat; Flaherty, Joseph E.; Ohsumi, Toshiro K.; Shephard, Mark S. Integration by table look-up for \(p\)-version finite elements on curved tetrahedra. (English) Zbl 1124.65109 Comput. Methods Appl. Mech. Eng. 195, No. 33-36, 4532-4543 (2006). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 65N30 65N15 35J25 PDF BibTeX XML Cite \textit{S. Dey} et al., Comput. Methods Appl. Mech. Eng. 195, No. 33--36, 4532--4543 (2006; Zbl 1124.65109) Full Text: DOI OpenURL
Demkowicz, L.; Shen, Jie A few new (?) facts about infinite elements. (English) Zbl 1123.76028 Comput. Methods Appl. Mech. Eng. 195, No. 29-32, 3572-3590 (2006). MSC: 76M10 76Q05 PDF BibTeX XML Cite \textit{L. Demkowicz} and \textit{J. Shen}, Comput. Methods Appl. Mech. Eng. 195, No. 29--32, 3572--3590 (2006; Zbl 1123.76028) Full Text: DOI Link OpenURL
Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek Discrete compactness for the \(hp\) version of rectangular edge finite elements. (English) Zbl 1122.65110 SIAM J. Numer. Anal. 44, No. 3, 979-1004 (2006). Reviewer: Jan Lovíšek (Bratislava) MSC: 65N30 65N25 78M10 78A25 35Q60 65N12 PDF BibTeX XML Cite \textit{D. Boffi} et al., SIAM J. Numer. Anal. 44, No. 3, 979--1004 (2006; Zbl 1122.65110) Full Text: DOI OpenURL
Burman, Erik; Ern, Alexandre Continuous interior penalty \(hp\)-finite element methods for transport operators. (English) Zbl 1119.65406 Bermúdez de Castro, Alfredo (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2005, the 6th European conference on numerical mathematics and advanced applications, Santiago de Compostela, Spain, July 18–22, 2005. Berlin: Springer (ISBN 3-540-34287-7/hbk). 504-511 (2006). MSC: 65N30 35J25 65N15 PDF BibTeX XML Cite \textit{E. Burman} and \textit{A. Ern}, in: Numerical mathematics and advanced applications. Proceedings of ENUMATH 2005, the 6th European conference on numerical mathematics and advanced applications, Santiago de Compostela, Spain, July 18--22, 2005. Berlin: Springer. 504--511 (2006; Zbl 1119.65406) OpenURL
Pardo, D.; Demkowicz, L.; Torres-Verdín, C.; Tabarovsky, L. A goal-oriented hp-adaptive finite element method with electromagnetic applications. I: Electrostatics. (English) Zbl 1118.78015 Int. J. Numer. Methods Eng. 65, No. 8, 1269-1309 (2006). Reviewer: Nina Shokina (Freiburg) MSC: 78M10 65N50 78A25 65N30 78A55 PDF BibTeX XML Cite \textit{D. Pardo} et al., Int. J. Numer. Methods Eng. 65, No. 8, 1269--1309 (2006; Zbl 1118.78015) Full Text: DOI OpenURL
Sherwin, S. J.; Kirby, R. M.; Peiró, J.; Taylor, R. L.; Zienkiewicz, O. C. On 2D elliptic discontinuous Galerkin methods. (English) Zbl 1117.65157 Int. J. Numer. Methods Eng. 65, No. 5, 752-784 (2006). MSC: 65N30 35J05 PDF BibTeX XML Cite \textit{S. J. Sherwin} et al., Int. J. Numer. Methods Eng. 65, No. 5, 752--784 (2006; Zbl 1117.65157) Full Text: DOI Link OpenURL
Pardo, D.; Demkowicz, L.; Torres-Verdín, C.; Paszynski, M. Two-dimensional high-accuracy simulation of resistivity logging-while-drilling (LWD) measurement using a self-adaptive goal-oriented \(hp\)-finite element method. (English) Zbl 1116.78014 SIAM J. Appl. Math. 66, No. 6, 2085-2106 (2006). Reviewer: Nina Shokina (Stuttgart) MSC: 78A55 78A25 78M10 65N50 PDF BibTeX XML Cite \textit{D. Pardo} et al., SIAM J. Appl. Math. 66, No. 6, 2085--2106 (2006; Zbl 1116.78014) Full Text: DOI OpenURL
Kirby, Robert M.; Sherwin, Spencer J. Aliasing errors due to quadratic nonlinearities on triangular spectral /\(hp\) element discretisations. (English) Zbl 1110.65111 J. Eng. Math. 56, No. 3, 273-288 (2006). MSC: 65N35 35Q30 65N15 PDF BibTeX XML Cite \textit{R. M. Kirby} and \textit{S. J. Sherwin}, J. Eng. Math. 56, No. 3, 273--288 (2006; Zbl 1110.65111) Full Text: DOI OpenURL
Toselli, Andrea; Vasseur, Xavier A numerical study on Neumann-Neumann methods for \(hp\) approximations on geometrically refined boundary layer meshes. II: Three-dimensional problems. (English) Zbl 1094.65121 ESAIM, Math. Model. Numer. Anal. 40, No. 1, 99-122 (2006). MSC: 65N30 65N55 65F10 65F35 35J25 35B25 PDF BibTeX XML Cite \textit{A. Toselli} and \textit{X. Vasseur}, ESAIM, Math. Model. Numer. Anal. 40, No. 1, 99--122 (2006; Zbl 1094.65121) Full Text: DOI Numdam EuDML OpenURL
Hiptmair, R.; Ledger, P. D. Computation of resonant modes for axisymmetric Maxwell cavities using \(hp\)-version edge finite elements. (English) Zbl 1121.78013 Int. J. Numer. Methods Eng. 62, No. 12, 1652-1676 (2005). MSC: 78M10 PDF BibTeX XML Cite \textit{R. Hiptmair} and \textit{P. D. Ledger}, Int. J. Numer. Methods Eng. 62, No. 12, 1652--1676 (2005; Zbl 1121.78013) Full Text: DOI OpenURL
Sengupta, T. K.; Talla, S. B.; Pradhan, S. C. Galerkin finite element methods for wave problems. (English) Zbl 1082.65102 Sādhanā 30, No. 5, 611-623 (2005). MSC: 65M60 35L45 65M12 PDF BibTeX XML Cite \textit{T. K. Sengupta} et al., Sādhanā 30, No. 5, 611--623 (2005; Zbl 1082.65102) Full Text: DOI OpenURL
Rachowicz, W.; Zdunek, A. An \(hp\)-adaptive finite element method for scattering problems in computational electromagnetics. (English) Zbl 1085.78010 Int. J. Numer. Methods Eng. 62, No. 9, 1226-1249 (2005). Reviewer: Gunther Schmidt (Berlin) MSC: 78M10 78A45 65N30 PDF BibTeX XML Cite \textit{W. Rachowicz} and \textit{A. Zdunek}, Int. J. Numer. Methods Eng. 62, No. 9, 1226--1249 (2005; Zbl 1085.78010) Full Text: DOI OpenURL
Elliotis, Miltiades; Georgiou, Georgios; Xenophontos, Christos Solving Laplacian problems with boundary singularities: a comparison of a singular function boundary integral method with the \(p\)/\(hp\) version of the finite element method. (English) Zbl 1121.65370 Appl. Math. Comput. 169, No. 1, 485-499 (2005). MSC: 65N38 65N30 35J05 PDF BibTeX XML Cite \textit{M. Elliotis} et al., Appl. Math. Comput. 169, No. 1, 485--499 (2005; Zbl 1121.65370) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Houston, Paul; Süli, Endre A note on the design of \(hp\)-adaptive finite element methods for elliptic partial differential equations. (English) Zbl 1074.65131 Comput. Methods Appl. Mech. Eng. 194, No. 2-5, 229-243 (2005). Reviewer: H. P. Dikshit (New Delhi) MSC: 65N30 65N15 35J25 PDF BibTeX XML Cite \textit{P. Houston} and \textit{E. Süli}, Comput. Methods Appl. Mech. Eng. 194, No. 2--5, 229--243 (2005; Zbl 1074.65131) Full Text: DOI OpenURL
Krebs, Andreas On solving nonlinear variational inequalities by \(p\)-version finite elements. (English) Zbl 1213.65100 Hannover: Univ. Hannover, Fachbereich Mathematik (Diss.). 172 p. (2004). MSC: 65K15 49J40 49M15 35J87 65N30 PDF BibTeX XML Cite \textit{A. Krebs}, On solving nonlinear variational inequalities by \(p\)-version finite elements. Hannover: Univ. Hannover, Fachbereich Mathematik (Diss.) (2004; Zbl 1213.65100) Full Text: Link OpenURL