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Journal Articles
- 2024
[j27]Alan Demlow, Michael Neilan:
A Tangential and Penalty-Free Finite Element Method for the Surface Stokes Problem. SIAM J. Numer. Anal. 62(1): 248-272 (2024)- 2020
- [j26]Andrea Bonito, Alan Demlow, Martin W. Licht:
A Divergence-Conforming Finite Element Method for the Surface Stokes Equation. SIAM J. Numer. Anal. 58(5): 2764-2798 (2020) - 2019
- [j25]Andrea Bonito, Alan Demlow:
A Posteriori Error Estimates for the Laplace-Beltrami Operator on Parametric C2 Surfaces. SIAM J. Numer. Anal. 57(3): 973-996 (2019) - 2018
- [j24]Andrea Bonito, Alan Demlow, Justin Owen:
A Priori Error Estimates for Finite Element Approximations to Eigenvalues and Eigenfunctions of the Laplace-Beltrami Operator. SIAM J. Numer. Anal. 56(5): 2963-2988 (2018) - 2017
- [j23]Alan Demlow:
Convergence and quasi-optimality of adaptive finite element methods for harmonic forms. Numerische Mathematik 136(4): 941-971 (2017) - 2016
- [j22]Bernardo Cockburn
, Alan Demlow:
Hybridizable discontinuous Galerkin and mixed finite element methods for elliptic problems on surfaces. Math. Comput. 85(302): 2609-2638 (2016) - [j21]Alan Demlow, Natalia Kopteva:
Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems. Numerische Mathematik 133(4): 707-742 (2016) - [j20]Alan Demlow:
Quasi-optimality of adaptive finite element methods for controlling local energy errors. Numerische Mathematik 134(1): 27-60 (2016) - [j19]Andrea Bonito, Alan Demlow:
Convergence and Optimality of Higher-Order Adaptive Finite Element Methods for Eigenvalue Clusters. SIAM J. Numer. Anal. 54(4): 2379-2388 (2016) - 2014
- [j18]Alan Demlow, Anil N. Hirani:
A Posteriori Error Estimates for Finite Element Exterior Calculus: The de Rham Complex. Found. Comput. Math. 14(6): 1337-1371 (2014) - 2013
- [j17]Alan Demlow, Stig Larsson:
Local pointwise a posteriori gradient error bounds for the Stokes equations. Math. Comput. 82(282): 625-649 (2013) - 2012
- [j16]Alan Demlow, Dmitriy Leykekhman, Alfred H. Schatz, Lars B. Wahlbin:
Best approximation property in the W1∞ norm for finite element methods on graded meshes. Math. Comput. 81(278): 743-764 (2012) - [j15]Alan Demlow, Maxim A. Olshanskii:
An Adaptive Surface Finite Element Method Based on Volume Meshes. SIAM J. Numer. Anal. 50(3): 1624-1647 (2012) - [j14]Alan Demlow, Emmanuil H. Georgoulis:
Pointwise a Posteriori Error Control for Discontinuous Galerkin Methods for Elliptic Problems. SIAM J. Numer. Anal. 50(5): 2159-2181 (2012) - 2011
- [j13]Alan Demlow, Johnny Guzmán, Alfred H. Schatz:
Local energy estimates for the finite element method on sharply varying grids. Math. Comput. 80(273): 1-9 (2011) - [j12]Alan Demlow, Rob Stevenson:
Convergence and quasi-optimality of an adaptive finite element method for controlling L 2 errors. Numerische Mathematik 117(2): 185-218 (2011) - 2010
- [j11]Alan Demlow, Charalambos G. Makridakis:
Sharply local pointwise a posteriori error estimates for parabolic problems. Math. Comput. 79(271): 1233-1262 (2010) - [j10]Alan Demlow:
Convergence of an Adaptive Finite Element Method for Controlling Local Energy Errors. SIAM J. Numer. Anal. 48(2): 470-497 (2010) - 2009
- [j9]Alan Demlow:
Higher-Order Finite Element Methods and Pointwise Error Estimates for Elliptic Problems on Surfaces. SIAM J. Numer. Anal. 47(2): 805-827 (2009) - [j8]Alan Demlow, Omar Lakkis, Charalambos G. Makridakis:
A Posteriori Error Estimates in the Maximum Norm for Parabolic Problems. SIAM J. Numer. Anal. 47(3): 2157-2176 (2009) - 2007
- [j7]Alan Demlow:
Local a posteriori estimates for pointwise gradient errors in finite element methods for elliptic problems. Math. Comput. 76(257): 19-42 (2007) - [j6]Alan Demlow:
Sharply localized pointwise and W∞-1 estimates for finite element methods for quasilinear problems. Math. Comput. 76(260): 1725-1741 (2007) - [j5]Alan Demlow, Gerhard Dziuk:
An Adaptive Finite Element Method for the Laplace-Beltrami Operator on Implicitly Defined Surfaces. SIAM J. Numer. Anal. 45(1): 421-442 (2007) - 2006
- [j4]Alan Demlow:
Localized pointwise a posteriori error estimates for gradients of piecewise linear finite element approximations to second-order quasilinear elliptic problems. SIAM J. Numer. Anal. 44(2): 494-514 (2006) - 2004
- [j3]Alan Demlow:
Piecewise linear finite element methods are not localized. Math. Comput. 73(247): 1195-1201 (2004) - [j2]Alan Demlow:
Localized pointwise error estimates for mixed finite element methods. Math. Comput. 73(248): 1623-1653 (2004) - 2002
- [j1]Alan Demlow:
Suboptimal and Optimal Convergence in Mixed Finite Element Methods. SIAM J. Numer. Anal. 39(6): 1938-1953 (2002)
Informal and Other Publications
- 2023
- [i5]Alan Demlow, Michael Neilan:
A tangential and penalty-free finite element method for the surface Stokes problem. CoRR abs/2307.01435 (2023) - [i4]Alan Demlow:
A mixed quasi-trace surface finite element method for the Laplace-Beltrami problem. CoRR abs/2309.12209 (2023) - 2022
- [i3]Alan Demlow, Sebastian Franz, Natalia Kopteva:
Maximum norm a posteriori error estimates for convection-diffusion problems. CoRR abs/2207.08251 (2022) - 2019
- [i2]Andrea Bonito, Alan Demlow, Ricardo H. Nochetto:
Finite Element Methods for the Laplace-Beltrami Operator. CoRR abs/1906.02786 (2019) - [i1]Andrea Bonito, Alan Demlow, Martin W. Licht:
A divergence-conforming finite element method for the surface Stokes equation. CoRR abs/1908.11460 (2019)
Coauthor Index
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