A posteriori error estimation in finite element analysis M Ainsworth, JT Oden Computer methods in applied mechanics and engineering 142 (1-2), 1-88, 1997 | 4149 | 1997 |
A unified approach to a posteriori error estimation using element residual methods M Ainsworth, JT Oden Numerische Mathematik 65, 23-50, 1993 | 583 | 1993 |
What is the fractional Laplacian? A comparative review with new results A Lischke, G Pang, M Gulian, F Song, C Glusa, X Zheng, Z Mao, W Cai, ... Journal of Computational Physics 404, 109009, 2020 | 443* | 2020 |
Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods M Ainsworth Journal of Computational Physics 198 (1), 106-130, 2004 | 373 | 2004 |
Discrete dispersion relation for hp-version finite element approximation at high wave number M Ainsworth SIAM Journal on Numerical Analysis 42 (2), 553-575, 2004 | 316 | 2004 |
Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation M Ainsworth, P Monk, W Muniz Journal of Scientific Computing 27, 5-40, 2006 | 289 | 2006 |
Analysis of the Zienkiewicz–Zhu a‐posteriori error estimator in the finite element method M Ainsworth, JZ Zhu, AW Craig, OC Zienkiewicz International Journal for numerical methods in engineering 28 (9), 2161-2174, 1989 | 240 | 1989 |
Hierarchic finite element bases on unstructured tetrahedral meshes M Ainsworth, J Coyle International journal for numerical methods in engineering 58 (14), 2103-2130, 2003 | 231 | 2003 |
Aspects of an adaptive hp-finite element method: Adaptive strategy, conforming approximation and efficient solvers M Ainsworth, B Senior Computer Methods in Applied Mechanics and Engineering 150 (1-4), 65-87, 1997 | 215 | 1997 |
A procedure for a posteriori error estimation for hp finite element methods M Ainsworth, JT Oden Computer Methods in Applied Mechanics and Engineering 101 (1-3), 73-96, 1992 | 197 | 1992 |
A posteriori error estimation for discontinuous Galerkin finite element approximation M Ainsworth SIAM Journal on Numerical Analysis 45 (4), 1777-1798, 2007 | 169 | 2007 |
Analysis and approximation of a fractional Cahn--Hilliard equation M Ainsworth, Z Mao SIAM Journal on Numerical Analysis 55 (4), 1689-1718, 2017 | 167 | 2017 |
A posteriori error estimators for the Stokes and Oseen equations M Ainsworth, JT Oden SIAM Journal on Numerical Analysis 34 (1), 228-245, 1997 | 160 | 1997 |
Robust a posteriori error estimation for nonconforming finite element approximation M Ainsworth SIAM Journal on Numerical Analysis 42 (6), 2320-2341, 2005 | 158 | 2005 |
An adaptive refinement strategy for hp-finite element computations M Ainsworth, B Senior Applied Numerical Mathematics 26 (1-2), 165-178, 1998 | 149 | 1998 |
Hierarchic hp-edge element families for Maxwell's equations on hybrid quadrilateral/triangular meshes M Ainsworth, J Coyle Computer Methods in Applied Mechanics and Engineering 190 (49-50), 6709-6733, 2001 | 147 | 2001 |
An a posteriori error estimate for finite element approximations of the Navier-Stokes equations JT Oden, W Wu, M Ainsworth Computer Methods in Applied Mechanics and Engineering 111 (1-2), 185-202, 1994 | 140 | 1994 |
A unified Petrov–Galerkin spectral method for fractional PDEs M Zayernouri, M Ainsworth, GE Karniadakis Computer Methods in Applied Mechanics and Engineering 283, 1545-1569, 2015 | 132 | 2015 |
Bernstein–Bézier finite elements of arbitrary order and optimal assembly procedures M Ainsworth, G Andriamaro, O Davydov SIAM Journal on Scientific Computing 33 (6), 3087-3109, 2011 | 129 | 2011 |
A posteriori error estimators in the finite element method M Ainsworth, A Craig Numerische Mathematik 60 (1), 429-463, 1991 | 126 | 1991 |