Ainsworth, Mark Dispersive behaviour of high order finite element schemes for the one-way wave equation. (English) Zbl 1349.65433 J. Comput. Phys. 259, 1-10 (2014). MSC: 65M60 65M70 35L45 35L65 PDFBibTeX XMLCite \textit{M. Ainsworth}, J. Comput. Phys. 259, 1--10 (2014; Zbl 1349.65433) Full Text: DOI
Ainsworth, Mark Pyramid algorithms for Bernstein-Bézier finite elements of high, nonuniform order in any dimension. (English) Zbl 1322.65102 SIAM J. Sci. Comput. 36, No. 2, 543-569 (2014). Reviewer: Nina Shokina (Freiburg) MSC: 65N30 65Y20 65D17 68U07 PDFBibTeX XMLCite \textit{M. Ainsworth}, SIAM J. Sci. Comput. 36, No. 2, 543--569 (2014; Zbl 1322.65102) Full Text: DOI Link
Ainsworth, Mark A framework for obtaining guaranteed error bounds for finite element approximations. (English) Zbl 1191.65144 J. Comput. Appl. Math. 234, No. 9, 2618-2632 (2010). MSC: 65N15 65N30 35J25 35J05 PDFBibTeX XMLCite \textit{M. Ainsworth}, J. Comput. Appl. Math. 234, No. 9, 2618--2632 (2010; Zbl 1191.65144) Full Text: DOI
Ainsworth, Mark A posteriori error estimation for lowest order Raviart-Thomas mixed finite elements. (English) Zbl 1159.65353 SIAM J. Sci. Comput. 30, No. 1, 189-204 (2007). MSC: 65N15 35J25 65N30 35J05 35Q60 65N50 65N55 PDFBibTeX XMLCite \textit{M. Ainsworth}, SIAM J. Sci. Comput. 30, No. 1, 189--204 (2007; Zbl 1159.65353) Full Text: DOI
Ainsworth, Mark A posteriori error estimation for discontinuous Galerkin finite element approximation. (English) Zbl 1151.65083 SIAM J. Numer. Anal. 45, No. 4, 1777-1798 (2007). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65N15 65N30 65N50 35J05 PDFBibTeX XMLCite \textit{M. Ainsworth}, SIAM J. Numer. Anal. 45, No. 4, 1777--1798 (2007; Zbl 1151.65083) Full Text: DOI
Ainsworth, Mark A synthesis of a posteriori error estimation techniques for conforming, non-conforming and discontinuous Galerkin finite element methods. (English) Zbl 1098.65106 Shi, Zhong-Ci (ed.) et al., Recent advances in adaptive computation. Proceedings of the international conference on recent advances in adaptive computation, May 24–28, 2004, Zhejiang University, Hangzhou, China. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3662-5/pbk). Contemporary Mathematics 383, 1-14 (2005). MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{M. Ainsworth}, Contemp. Math. 383, 1--14 (2005; Zbl 1098.65106)
Ainsworth, Mark Robust a posteriori error estimation for nonconforming finite element approximation. (English) Zbl 1085.65102 SIAM J. Numer. Anal. 42, No. 6, 2320-2341 (2005). Reviewer: Dietrich Braess (Bochum) MSC: 65N15 65N12 65N50 65N30 35J25 PDFBibTeX XMLCite \textit{M. Ainsworth}, SIAM J. Numer. Anal. 42, No. 6, 2320--2341 (2005; Zbl 1085.65102) Full Text: DOI
Ainsworth, Mark A posteriori error estimation for non-conforming quadrilateral finite elements. (English) Zbl 1071.65141 Int. J. Numer. Anal. Model. 2, No. 1, 1-18 (2005). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N15 65N30 35J25 65N50 PDFBibTeX XMLCite \textit{M. Ainsworth}, Int. J. Numer. Anal. Model. 2, No. 1, 1--18 (2005; Zbl 1071.65141)
Ainsworth, Mark Dispersive properties of high-order Nédélec/edge element approximation of the time-harmonic Maxwells equations. (English) Zbl 1079.78022 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 362, No. 1816, 471-491 (2004). Reviewer: Vit Dolejsi (Praha) MSC: 78M10 78A40 PDFBibTeX XMLCite \textit{M. Ainsworth}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 362, No. 1816, 471--491 (2004; Zbl 1079.78022) Full Text: DOI
Ainsworth, Mark Discrete dispersion relation for \(hp\)-version finite element approximation at high wave number. (English) Zbl 1074.65112 SIAM J. Numer. Anal. 42, No. 2, 553-575 (2004). Reviewer: Myron Sussman (Bethel Park) MSC: 65M50 65M15 65M60 PDFBibTeX XMLCite \textit{M. Ainsworth}, SIAM J. Numer. Anal. 42, No. 2, 553--575 (2004; Zbl 1074.65112) Full Text: DOI
Ainsworth, Mark Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods. (English) Zbl 1058.65103 J. Comput. Phys. 198, No. 1, 106-130 (2004). Reviewer: Volker John (Saarbrücken) MSC: 65M60 65M15 35L45 PDFBibTeX XMLCite \textit{M. Ainsworth}, J. Comput. Phys. 198, No. 1, 106--130 (2004; Zbl 1058.65103) Full Text: DOI
Ainsworth, Mark Dispersive properties of high-order finite elements. (English) Zbl 1047.76039 Cohen, Gary C. (ed.) et al., Mathematical and numerical aspects of wave propagation, WAVES 2003. Proceedings of the sixth international conference on mathematical and numerical aspects of wave propagation, Jyväskylä, Finland, 30 June – 4 July 2003. Berlin: Springer (ISBN 3-540-40127-X/hbk). 3-10 (2003). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 76M10 PDFBibTeX XMLCite \textit{M. Ainsworth}, in: Mathematical and numerical aspects of wave propagation, WAVES 2003. Proceedings of the sixth international conference on mathematical and numerical aspects of wave propagation, Jyväskylä, Finland, 30 June -- 4 July 2003. Berlin: Springer. 3--10 (2003; Zbl 1047.76039)
Ainsworth, Mark Essential boundary conditions and multi-point constraints in finite element analysis. (English) Zbl 0992.65128 Comput. Methods Appl. Mech. Eng. 190, No. 48, 6323-6339 (2001). Reviewer: Dietrich Braess (Bochum) MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{M. Ainsworth}, Comput. Methods Appl. Mech. Eng. 190, No. 48, 6323--6339 (2001; Zbl 0992.65128) Full Text: DOI
Ainsworth, Mark Identification and a posteriori estimation of transported errors in finite element analysis. (English) Zbl 0953.76043 Comput. Methods Appl. Mech. Eng. 176, No. 1-4, 3-18 (1999). MSC: 76M10 76R99 65N15 PDFBibTeX XMLCite \textit{M. Ainsworth}, Comput. Methods Appl. Mech. Eng. 176, No. 1--4, 3--18 (1999; Zbl 0953.76043) Full Text: DOI
Ainsworth, Mark A posteriori error estimation for fully discrete hierarchic models of elliptic boundary value problems on thin domains. (English) Zbl 0912.65087 Numer. Math. 80, No. 3, 325-362 (1998). Reviewer: P.Chocholatý (Bratislava) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{M. Ainsworth}, Numer. Math. 80, No. 3, 325--362 (1998; Zbl 0912.65087) Full Text: DOI
Ainsworth, Mark A hierarchical domain decomposition preconditioner for \(h\)-\(p\) finite element approximation on locally refined meshes. (English) Zbl 0860.65111 SIAM J. Sci. Comput. 17, No. 6, 1395-1413 (1996). Reviewer: J.D.P.Donnelly (Oxford) MSC: 65N30 65N55 65F10 35J25 65F35 65N50 PDFBibTeX XMLCite \textit{M. Ainsworth}, SIAM J. Sci. Comput. 17, No. 6, 1395--1413 (1996; Zbl 0860.65111) Full Text: DOI
Ainsworth, Mark The influence and selection of subspaces for a posteriori error estimators. (English) Zbl 0873.65099 Numer. Math. 73, No. 4, 399-418 (1996). Reviewer: R.R.D.Lazarov (College Station) MSC: 65N15 65N30 PDFBibTeX XMLCite \textit{M. Ainsworth}, Numer. Math. 73, No. 4, 399--418 (1996; Zbl 0873.65099) Full Text: DOI
Ainsworth, Mark A preconditioner based on domain decomposition for \(h\)-\(p\) finite-element approximation on quasi-uniform meshes. (English) Zbl 0855.65044 SIAM J. Numer. Anal. 33, No. 4, 1358-1376 (1996). MSC: 65F35 65N30 65F10 65N55 35J25 PDFBibTeX XMLCite \textit{M. Ainsworth}, SIAM J. Numer. Anal. 33, No. 4, 1358--1376 (1996; Zbl 0855.65044) Full Text: DOI
Ainsworth, Mark A posteriori error estimates for Stokes and Navier Stokes equations. (English) Zbl 0827.65104 Whiteman, J. R. (ed.), The mathematics of finite elements and applications. Highlights 1993. Proceedings of the 8th conference on the mathematics of finite elements and applications, MAFELAP ’93, held at Brunel University, Uxbridge, UK, April 27-30, 1993. Chichester: Wiley. 151-158 (1994). MSC: 65N15 65N30 35Q30 PDFBibTeX XMLCite \textit{M. Ainsworth}, in: The mathematics of finite elements and applications. Highlights 1993. Proceedings of the 8th conference on the mathematics of finite elements and applications, MAFELAP '93, held at Brunel University, Uxbridge, UK, April 27-30, 1993. Chichester: Wiley. 151--158 (1994; Zbl 0827.65104)
Ainsworth, Mark The performance of Bank-Weiser’s error estimator for quadrilateral finite elements. (English) Zbl 0807.65109 Numer. Methods Partial Differ. Equations 10, No. 5, 609-623 (1994). Reviewer: W.C.Rheinboldt (Pittsburgh) MSC: 65N15 65N30 35J05 PDFBibTeX XMLCite \textit{M. Ainsworth}, Numer. Methods Partial Differ. Equations 10, No. 5, 609--623 (1994; Zbl 0807.65109) Full Text: DOI