Congreve, Scott; Houston, Paul Two-grid hp-version discontinuous Galerkin finite element methods for quasilinear elliptic PDEs on agglomerated coarse meshes. (English) Zbl 1497.35226 Adv. Comput. Math. 48, No. 5, Paper No. 54, 31 p. (2022). MSC: 35J62 35J25 65N30 PDFBibTeX XMLCite \textit{S. Congreve} and \textit{P. Houston}, Adv. Comput. Math. 48, No. 5, Paper No. 54, 31 p. (2022; Zbl 1497.35226) Full Text: DOI arXiv
Houston, Paul; Wihler, Thomas P. An \(hp\)-adaptive iterative linearization discontinuous-Galerkin FEM for quasilinear elliptic boundary value problems. (English) Zbl 1484.65300 Sherwin, Spencer J. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2018. Selected papers from the ICOSAHOM conference, London, UK, July 9–13, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 134, 407-417 (2020). MSC: 65N30 65N50 65N15 35J62 PDFBibTeX XMLCite \textit{P. Houston} and \textit{T. P. Wihler}, Lect. Notes Comput. Sci. Eng. 134, 407--417 (2020; Zbl 1484.65300) Full Text: DOI
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
Houston, Paul; Muga, Ignacio; Roggendorf, Sarah; van der Zee, Kristoffer G. The convection-diffusion-reaction equation in non-Hilbert Sobolev spaces: a direct proof of the inf-sup condition and stability of Galerkin’s method. (English) Zbl 1429.35070 Comput. Methods Appl. Math. 19, No. 3, 503-522 (2019). MSC: 35J25 35A01 35A02 35J20 65N12 65N30 PDFBibTeX XMLCite \textit{P. Houston} et al., Comput. Methods Appl. Math. 19, No. 3, 503--522 (2019; Zbl 1429.35070) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{S. Congreve} et al., Adv. Comput. Math. 45, No. 1, 361--393 (2019; Zbl 1419.65105) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{P. Houston} and \textit{T. P. Wihler}, Math. Comput. 87, No. 314, 2641--2674 (2018; Zbl 1410.65449) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{A. Cangiani} et al., \(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Cham: Springer (2017; Zbl 1382.65307) Full Text: DOI
Houston, P. Adjoint error estimation and adaptivity for hyperbolic problems. (English) Zbl 1368.65164 Abgrall, Rémi (ed.) et al., Handbook on numerical methods for hyperbolic problems. Applied and modern issues. Amsterdam: Elsevier/North Holland (ISBN 978-0-444-63910-3/hbk; 978-0-444-63911-0/ebook). Handbook of Numerical Analysis 18, 233-261 (2017). MSC: 65M15 35L65 65M50 76B10 76M25 PDFBibTeX XMLCite \textit{P. Houston}, Handb. Numer. Anal. 18, 233--261 (2017; Zbl 1368.65164) Full Text: DOI
Antonietti, Paola F.; Cangiani, Andrea; Collis, Joe; Dong, Zhaonan; Georgoulis, Emmanuil H.; Giani, Stefano; Houston, Paul Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains. (English) Zbl 1357.65251 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, 281-310 (2016). MSC: 65N30 65N50 65M60 65M50 35J25 35L04 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Lect. Notes Comput. Sci. Eng. 114, 281--310 (2016; Zbl 1357.65251) Full Text: DOI Link
Antonietti, Paola F.; Houston, Paul; Smears, Iain A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for \(hp\)-version discontinuous Galerkin methods. (English) Zbl 1350.65134 Int. J. Numer. Anal. Model. 13, No. 4, 513-524 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65N55 65N30 65F08 35J25 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Int. J. Numer. Anal. Model. 13, No. 4, 513--524 (2016; Zbl 1350.65134) Full Text: Link
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul \(hp\)-version discontinous Gelerkin methods for advection-diffusion-reaction problems on polytropic meshes. (English) Zbl 1342.65213 ESAIM, Math. Model. Numer. Anal. 50, No. 3, 699-725 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N50 65N55 35J25 PDFBibTeX XMLCite \textit{A. Cangiani} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 3, 699--725 (2016; Zbl 1342.65213) Full Text: DOI
Congreve, Scott; Houston, Paul Two-grid \(hp\)-version discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows. (English) Zbl 1499.65651 Int. J. Numer. Anal. Model. 11, No. 3, 496-524 (2014). MSC: 65N30 65N55 65N50 65H10 65N15 35J62 76A10 76M10 35Q35 PDFBibTeX XMLCite \textit{S. Congreve} and \textit{P. Houston}, Int. J. Numer. Anal. Model. 11, No. 3, 496--524 (2014; Zbl 1499.65651) Full Text: Link
Antonietti, Paola F.; Giani, Stefano; Houston, Paul Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains. (English) Zbl 1307.65174 J. Sci. Comput. 60, No. 1, 203-227 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65N55 65N30 35J25 65F08 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., J. Sci. Comput. 60, No. 1, 203--227 (2014; Zbl 1307.65174) Full Text: DOI Link
Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul \(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. (English) Zbl 1298.65167 Math. Models Methods Appl. Sci. 24, No. 10, 2009-2041 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65N30 65N50 65N55 35J05 PDFBibTeX XMLCite \textit{A. Cangiani} et al., Math. Models Methods Appl. Sci. 24, No. 10, 2009--2041 (2014; Zbl 1298.65167) Full Text: DOI
Congreve, Scott; Houston, Paul Two-grid \(hp\)-DGFEM for second-order quasilinear elliptic PDEs based on an incomplete Newton iteration. (English) Zbl 1280.65124 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, 135-142 (2013). MSC: 65N30 35J62 65N15 PDFBibTeX XMLCite \textit{S. Congreve} and \textit{P. Houston}, Contemp. Math. 586, 135--142 (2013; Zbl 1280.65124) Full Text: DOI
Congreve, Scott; Houston, Paul; Süli, Endre; Wihler, Thomas P. Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems. II: Strongly monotone quasi-Newtonian flows. (English) Zbl 1457.65192 IMA J. Numer. Anal. 33, No. 4, 1386-1415 (2013). MSC: 65N30 65N15 65N50 76A05 35J25 35Q35 PDFBibTeX XMLCite \textit{S. Congreve} et al., IMA J. Numer. Anal. 33, No. 4, 1386--1415 (2013; Zbl 1457.65192) Full Text: DOI Link
Antonietti, Paola F.; Giani, Stefano; Houston, Paul \(hp\)-version composite discontinuous Galerkin methods for elliptic problems on complicated domains. (English) Zbl 1284.65163 SIAM J. Sci. Comput. 35, No. 3, A1417-A1439 (2013). Reviewer: Gunther Schmidt (Berlin) MSC: 65N30 65N12 65N50 65N15 35J25 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., SIAM J. Sci. Comput. 35, No. 3, A1417--A1439 (2013; Zbl 1284.65163) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. Congreve} et al., J. Sci. Comput. 55, No. 2, 471--497 (2013; Zbl 1279.65132) Full Text: DOI
Houston, Paul; Wihler, Thomas Pascal Discontinuous Galerkin methods for problems with Dirac delta source. (English) Zbl 1272.65092 ESAIM, Math. Model. Numer. Anal. 46, No. 6, 1467-1483 (2012). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N30 35J25 65N15 PDFBibTeX XMLCite \textit{P. Houston} and \textit{T. P. Wihler}, ESAIM, Math. Model. Numer. Anal. 46, No. 6, 1467--1483 (2012; Zbl 1272.65092) Full Text: DOI
Giani, Stefano; Houston, Paul Anisotropic \(hp\)-adaptive discontinuous Galerkin finite element methods for compressible fluid flows. (English) Zbl 1263.76042 Int. J. Numer. Anal. Model. 9, No. 4, 928-949 (2012). MSC: 76M10 76D05 35Q30 PDFBibTeX XMLCite \textit{S. Giani} and \textit{P. Houston}, Int. J. Numer. Anal. Model. 9, No. 4, 928--949 (2012; Zbl 1263.76042) Full Text: Link
Houston, Paul; Wihler, Thomas P. Second-order elliptic PDEs with discontinuous boundary data. (English) Zbl 1237.65124 IMA J. Numer. Anal. 32, No. 1, 48-74 (2012). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N30 35R05 35J25 65N12 PDFBibTeX XMLCite \textit{P. Houston} and \textit{T. P. Wihler}, IMA J. Numer. Anal. 32, No. 1, 48--74 (2012; Zbl 1237.65124) Full Text: DOI Link
Zhu, Liang; Giani, Stefano; Houston, Paul; Schötzau, Dominik Energy norm a posteriori error estimation for \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions. (English) Zbl 1220.65156 Math. Models Methods Appl. Sci. 21, No. 2, 267-306 (2011). Reviewer: Abdallah Bradji (Annaba) MSC: 65N15 65N30 65N50 65N12 35J25 PDFBibTeX XMLCite \textit{L. Zhu} et al., Math. Models Methods Appl. Sci. 21, No. 2, 267--306 (2011; Zbl 1220.65156) Full Text: DOI
Georgoulis, Emmanuil H.; Houston, Paul; Virtanen, Juha An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems. (English) Zbl 1209.65124 IMA J. Numer. Anal. 31, No. 1, 281-298 (2011). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N15 65N30 35J40 PDFBibTeX XMLCite \textit{E. H. Georgoulis} et al., IMA J. Numer. Anal. 31, No. 1, 281--298 (2011; Zbl 1209.65124) Full Text: DOI Link
Georgoulis, Emmanuil H.; Houston, Paul Discontinuous Galerkin methods for the biharmonic problem. (English) Zbl 1176.65134 IMA J. Numer. Anal. 29, No. 3, 573-594 (2009). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 35J40 65N12 65N15 PDFBibTeX XMLCite \textit{E. H. Georgoulis} and \textit{P. Houston}, IMA J. Numer. Anal. 29, No. 3, 573--594 (2009; Zbl 1176.65134) Full Text: DOI Link
Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul Discontinuous Galerkin methods on \(hp\)-anisotropic meshes. II: A posteriori error analysis and adaptivity. (English) Zbl 1175.65127 Appl. Numer. Math. 59, No. 9, 2179-2194 (2009). MSC: 65N15 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{E. H. Georgoulis} et al., Appl. Numer. Math. 59, No. 9, 2179--2194 (2009; Zbl 1175.65127) Full Text: DOI
Houston, Paul; Süli, Endre; Wihler, Thomas P. A posteriori error analysis of \(hp\)-version discontinuous Galerkin finite-element methods for second-order quasi-linear elliptic PDEs. (English) Zbl 1144.65070 IMA J. Numer. Anal. 28, No. 2, 245-273 (2008). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N15 65N30 35J65 65N50 PDFBibTeX XMLCite \textit{P. Houston} et al., IMA J. Numer. Anal. 28, No. 2, 245--273 (2008; Zbl 1144.65070) Full Text: DOI
Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul Discontinuous Galerkin methods for advection-diffusion-reaction problems on anisotropically refined meshes. (English) Zbl 1159.65092 SIAM J. Sci. Comput. 30, No. 1, 246-271 (2007). MSC: 65N30 35J25 65N50 PDFBibTeX XMLCite \textit{E. H. Georgoulis} et al., SIAM J. Sci. Comput. 30, No. 1, 246--271 (2007; Zbl 1159.65092) Full Text: DOI Link
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. Energy norm a posteriori error estimation of \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems. (English) Zbl 1116.65115 Math. Models Methods Appl. Sci. 17, No. 1, 33-62 (2007). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65N15 65N30 35J25 65N50 PDFBibTeX XMLCite \textit{P. Houston} et al., Math. Models Methods Appl. Sci. 17, No. 1, 33--62 (2007; Zbl 1116.65115) Full Text: DOI
Houston, Paul; Robson, Janice; Süli, Endre Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: The scalar case. (English) Zbl 1084.65116 IMA J. Numer. Anal. 25, No. 4, 726-749 (2005). Reviewer: Dietrich Braess (Bochum) MSC: 65N30 65N12 65N15 35J65 PDFBibTeX XMLCite \textit{P. Houston} et al., IMA J. Numer. Anal. 25, No. 4, 726--749 (2005; Zbl 1084.65116) Full Text: DOI Link
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik Mixed discontinuous Galerkin approximation of the Maxwell operator: the indefinite case. (English) Zbl 1087.65106 ESAIM, Math. Model. Numer. Anal. 39, No. 4, 727-753 (2005). Reviewer: Johannes Elschner (Berlin) MSC: 65N30 78M10 35Q60 78A25 65N15 PDFBibTeX XMLCite \textit{P. Houston} et al., ESAIM, Math. Model. Numer. Anal. 39, No. 4, 727--753 (2005; Zbl 1087.65106) Full Text: DOI Numdam EuDML
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik Interior penalty method for the indefinite time-harmonic Maxwell equations. (English) Zbl 1071.65155 Numer. Math. 100, No. 3, 485-518 (2005). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N30 35Q60 78A25 78M10 PDFBibTeX XMLCite \textit{P. Houston} et al., Numer. Math. 100, No. 3, 485--518 (2005; Zbl 1071.65155) Full Text: DOI
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 PDFBibTeX XMLCite \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
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik Mixed discontinuous Galerkin approximation of the Maxwell operator. (English) Zbl 1084.65115 SIAM J. Numer. Anal. 42, No. 1, 434-459 (2004). Reviewer: Fumio Kikuchi (Tokyo) MSC: 65N30 35Q40 65N12 78A25 78M10 PDFBibTeX XMLCite \textit{P. Houston} et al., SIAM J. Numer. Anal. 42, No. 1, 434--459 (2004; Zbl 1084.65115) Full Text: DOI
Hartmann, Ralf; Houston, Paul Goal-oriented a posteriori error estimation for multiple target functionals. (English) Zbl 1064.65102 Hou, Thomas Y. (ed.) et al., Hyperbolic problems: Theory, numerics, applications. Proceedings of the ninth international conference on hyperbolic problems, Pasadena, CA, USA, March 25–29, 2002. Berlin: Springer (ISBN 3-540-44333-9/hbk). 579-588 (2003). MSC: 65M15 65M60 35L65 35Q53 35A15 49M15 PDFBibTeX XMLCite \textit{R. Hartmann} and \textit{P. Houston}, in: Hyperbolic problems: Theory, numerics, applications. Proceedings of the ninth international conference on hyperbolic problems, Pasadena, CA, USA, March 25--29, 2002. Berlin: Springer. 579--588 (2003; Zbl 1064.65102)
Houston, P.; Senior, B.; Süli, E. Sobolev regularity estimation for \(hp\)-adaptive finite element methods. (English) Zbl 1043.65114 Brezzi, Franco (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer (ISBN 88-470-0180-3/hbk). 631-656 (2003). MSC: 65M60 35L65 65M15 PDFBibTeX XMLCite \textit{P. Houston} et al., in: Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer. 631--656 (2003; Zbl 1043.65114) Full Text: DOI
Harriman, Kathryn; Houston, Paul; Senior, Bill; Süli, Endre \(hp\)-version discontinuous Galerkin methods with interior penalty for partial differential equations with nonnegative characteristic form. (English) Zbl 1037.65117 Cheng, S. Y. (ed.) et al., Recent advances in scientific computing and partial differential equations. International conference on the occasion of Stanley Osher’s 60th birthday, December 12–15, 2002, Hong Kong, China. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3155-0/pbk). Contemp. Math. 330, 89-119 (2003). MSC: 65N30 35J25 65N12 65N15 65N50 PDFBibTeX XMLCite \textit{K. Harriman} et al., Contemp. Math. 330, 89--119 (2003; Zbl 1037.65117)
Hartmann, Ralf; Houston, Paul Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic conservation laws. (English) Zbl 1034.65081 SIAM J. Sci. Comput. 24, No. 3, 979-1004 (2002). MSC: 65M60 65M50 65M15 35L65 76M10 PDFBibTeX XMLCite \textit{R. Hartmann} and \textit{P. Houston}, SIAM J. Sci. Comput. 24, No. 3, 979--1004 (2002; Zbl 1034.65081) Full Text: DOI
Ward, Michael J.; McInerney, Darragh; Houston, Paul; Gavaghan, David; Maini, Philip The dynamics and pinning of a spike for a reaction-diffusion system. (English) Zbl 1032.35029 SIAM J. Appl. Math. 62, No. 4, 1297-1328 (2002). Reviewer: Wan-Tong Li (Lanzhou) MSC: 35B25 35C20 35P15 PDFBibTeX XMLCite \textit{M. J. Ward} et al., SIAM J. Appl. Math. 62, No. 4, 1297--1328 (2002; Zbl 1032.35029) Full Text: DOI
Houston, Paul; Schwab, Christoph; Süli, Endre Discontinuous \(hp\)-finite element methods for advection-diffusion-reaction problems. (English) Zbl 1015.65067 SIAM J. Numer. Anal. 39, No. 6, 2133-2163 (2002). Reviewer: Dietrich Braess (Bochum) MSC: 65N30 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{P. Houston} et al., SIAM J. Numer. Anal. 39, No. 6, 2133--2163 (2002; Zbl 1015.65067) Full Text: DOI
Houston, Paul; Süli, Endre \(hp\)-adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems. (English) Zbl 1029.65130 SIAM J. Sci. Comput. 23, No. 4, 1226-1252 (2001). Reviewer: Z.Dżygadło (Warszawa) MSC: 65N30 65N12 65N15 65N50 35L50 PDFBibTeX XMLCite \textit{P. Houston} and \textit{E. Süli}, SIAM J. Sci. Comput. 23, No. 4, 1226--1252 (2001; Zbl 1029.65130) Full Text: DOI
Houston, P.; Süli, E. Stabilised \(hp\)-finite element approximation of partial differential equations with nonnegative characteristic form. (English) Zbl 0985.65136 Computing 66, No. 2, 99-119 (2001). Reviewer: Dinh Nho Hao (Frankfurt am Main) MSC: 65N12 65M12 65M15 65M60 65N15 65N30 35K15 35J25 35L45 35M10 PDFBibTeX XMLCite \textit{P. Houston} and \textit{E. Süli}, Computing 66, No. 2, 99--119 (2001; Zbl 0985.65136) Full Text: DOI
Houston, Paul; Süli, Endre Adaptive Lagrange-Galerkin methods for unsteady convection-diffusion problems. (English) Zbl 0957.65085 Math. Comput. 70, No. 233, 77-106 (2001). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M60 65M15 65M12 35K15 PDFBibTeX XMLCite \textit{P. Houston} and \textit{E. Süli}, Math. Comput. 70, No. 233, 77--106 (2001; Zbl 0957.65085) Full Text: DOI
Houston, Paul; Rannacher, Rolf; Süli, Endre A posteriori error analysis for stabilised finite element approximations of transport problems. (English) Zbl 0970.65115 Comput. Methods Appl. Mech. Eng. 190, No. 11-12, 1483-1508 (2000). Reviewer: Dietrich Braess (Bochum) MSC: 65N15 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{P. Houston} et al., Comput. Methods Appl. Mech. Eng. 190, No. 11--12, 1483--1508 (2000; Zbl 0970.65115) Full Text: DOI
Süli, Endre; Houston, Paul; Schwab, Christoph \(hp\)-finite element methods for hyperbolic problems. (English) Zbl 0959.65127 Whiteman, J. R. (ed.), The mathematics of finite elements and applications X, MAFELAP 1999. Proceedings of the 10th conference, Brunel Univ., Uxbridge, Middlesex, GB, June 22-25, 1999. Amsterdam: Elsevier. 143-162 (2000). MSC: 65N30 35L20 35M10 65N15 35L50 35J25 PDFBibTeX XMLCite \textit{E. Süli} et al., in: The mathematics of finite elements and applications X, MAFELAP 1999. Proceedings of the 10th conference, Brunel Univ., Uxbridge, Middlesex, GB, June 22--25, 1999. Amsterdam: Elsevier. 143--162 (2000; Zbl 0959.65127)
Houston, Paul; Schwab, Christoph; Süli, Endre Stabilized \(hp\)-finite element methods for first-order hyperbolic problems. (English) Zbl 0957.65103 SIAM J. Numer. Anal. 37, No. 5, 1618-1643 (2000). Reviewer: Ll.G.Chambers (Bangor) MSC: 65N30 65N12 65N15 35L50 PDFBibTeX XMLCite \textit{P. Houston} et al., SIAM J. Numer. Anal. 37, No. 5, 1618--1643 (2000; Zbl 0957.65103) Full Text: DOI
Süli, Endre; Schwab, Christoph; Houston, Paul \(hp\)-DGFEM for partial differential equations with nonnegative characteristic form. (English) Zbl 0946.65102 Cockburn, Bernardo (ed.) et al., Discontinuous Galerkin methods. Theory, computation and applications. 1st international symposium on DGM, Newport, RI, USA, May 24-26, 1999. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 11, 221-230 (2000). MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{E. Süli} et al., Lect. Notes Comput. Sci. Eng. 11, 221--230 (2000; Zbl 0946.65102)
Houston, Paul; Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald A posteriori error analysis for numerical approximations of Friedrichs systems. (English) Zbl 0935.65096 Numer. Math. 82, No. 3, 433-470 (1999). Reviewer: L.G.Vulkov (Russe) MSC: 65M15 65M50 65M06 35L15 PDFBibTeX XMLCite \textit{P. Houston} et al., Numer. Math. 82, No. 3, 433--470 (1999; Zbl 0935.65096) Full Text: DOI
Süli, Endre; Houston, Paul Finite element methods for hyperbolic problems: A posteriori error analysis and adaptivity. (English) Zbl 0886.65104 Duff, I. S. (ed.) et al., The state of the art in numerical analysis. Based on the proceedings of a conference organized by the Institute of Mathematics and its Applications (IMA), University of York, York, GB, April 1–4, 1996. Oxford: Clarendon Press. Inst. Math. Appl. Conf. Ser., New Ser. 63, 441-471 (1997). Reviewer: G.Hedstrom (Livermore) MSC: 65M60 65M15 35L15 PDFBibTeX XMLCite \textit{E. Süli} and \textit{P. Houston}, Inst. Math. Appl. Conf. Ser., New Ser. 63, 441--471 (1997; Zbl 0886.65104)