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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
Computer methods in applied mechanics and engineering 142 (1-2), 1-88, 1997
41601997
A unified approach to a posteriori error estimation using element residual methods
M Ainsworth, JT Oden
Numerische Mathematik 65, 23-50, 1993
5851993
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
412*2020
Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
M Ainsworth
Journal of Computational Physics 198 (1), 106-130, 2004
3672004
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
3092004
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
2952006
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
2361989
Hierarchic finite element bases on unstructured tetrahedral meshes
M Ainsworth, J Coyle
International journal for numerical methods in engineering 58 (14), 2103-2130, 2003
2272003
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
2101997
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
1991992
A posteriori error estimation for discontinuous Galerkin finite element approximation
M Ainsworth
SIAM Journal on Numerical Analysis 45 (4), 1777-1798, 2007
1702007
A posteriori error estimators for the Stokes and Oseen equations
M Ainsworth, JT Oden
SIAM Journal on Numerical Analysis 34 (1), 228-245, 1997
1611997
Robust a posteriori error estimation for nonconforming finite element approximation
M Ainsworth
SIAM Journal on Numerical Analysis 42 (6), 2320-2341, 2005
1592005
Analysis and approximation of a fractional Cahn--Hilliard equation
M Ainsworth, Z Mao
SIAM Journal on Numerical Analysis 55 (4), 1689-1718, 2017
1572017
An adaptive refinement strategy for hp-finite element computations
M Ainsworth, B Senior
Applied Numerical Mathematics 26 (1-2), 165-178, 1998
1511998
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
1452001
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
1391994
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
1292015
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
1272011
A posteriori error estimators in the finite element method
M Ainsworth, A Craig
Numerische Mathematik 60 (1), 429-463, 1991
1251991
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