Mark Ainsworth
Mark Ainsworth
Professor, Division of Applied Mathematics, Brown University
Verified email at brown.edu - Homepage
Title
Cited by
Cited by
Year
A posteriori error estimation in finite element analysis
M Ainsworth, JT Oden
John Wiley & Sons, 2011
27812011
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
9651997
A unified approach to a posteriori error estimation using element residual methods
M Ainsworth, JT Oden
Numerische Mathematik 65 (1), 23-50, 1993
5381993
Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
M Ainsworth
Journal of Computational Physics 198 (1), 106-130, 2004
3052004
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
2762004
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 (1-3), 5-40, 2006
2622006
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
2051989
Hierarchic finite element bases on unstructured tetrahedral meshes
M Ainsworth, J Coyle
International journal for numerical methods in engineering 58 (14), 2103-2130, 2003
1992003
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
1871997
A procedure for a posteriori error estimation for hp finite element methods
M Ainsworth, JT Oden
TEXAS UNIV AT AUSTIN, 1992
1821992
A posteriori error estimators for the Stokes and Oseen equations
M Ainsworth, JT Oden
SIAM Journal on Numerical Analysis 34 (1), 228-245, 1997
1551997
A posteriori error estimation for discontinuous Galerkin finite element approximation
M Ainsworth
SIAM Journal on Numerical Analysis 45 (4), 1777-1798, 2007
1462007
Robust a posteriori error estimation for nonconforming finite element approximation
M Ainsworth
SIAM Journal on Numerical Analysis 42 (6), 2320-2341, 2005
1392005
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
1332001
An adaptive refinement strategy for hp-finite element computations
M Ainsworth, B Senior
Applied Numerical Mathematics 26 (1-2), 165-178, 1998
1301998
What is the fractional Laplacian?
A Lischke, G Pang, M Gulian, F Song, C Glusa, X Zheng, Z Mao, W Cai, ...
arXiv preprint arXiv:1801.09767, 2018
124*2018
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
1241994
A posteriori error estimators in the finite element method
M Ainsworth, A Craig
Numerische Mathematik 60 (1), 429-463, 1991
1211991
Solution of elastic scattering problems in linear acoustics using hp boundary element method
L Demkowicz, A Karafiat, JT Oden
Computer Methods in Applied Mechanics and Engineering 101 (1-3), 251-282, 1992
1111992
Reliable and robust a posteriori error estimation for singularly perturbed reaction-diffusion problems
M Ainsworth, I Babuska
SIAM journal on numerical analysis 36 (2), 331-353, 1999
1081999
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