Alan Demlow

Publication Activity (10 Years)

Years Active: 2002-2024
Publications (10 Years): 14

Top Topics

Laplacian Eigenmaps

Diffuse Optical Tomography

Error Estimates

Top Venues

SIAM J. Numer. Anal.

Numerische Mathematik

Found. Comput. Math.

Publications

Alan Demlow, Michael Neilan
A Tangential and Penalty-Free Finite Element Method for the Surface Stokes Problem. SIAM J. Numer. Anal. 62 (1) (2024)
Alan Demlow, Michael Neilan
A tangential and penalty-free finite element method for the surface Stokes problem. CoRR (2023)
Alan Demlow
A mixed quasi-trace surface finite element method for the Laplace-Beltrami problem. CoRR (2023)
Alan Demlow, Sebastian Franz, Natalia Kopteva
Maximum norm a posteriori error estimates for convection-diffusion problems. CoRR (2022)
Andrea Bonito, Alan Demlow, Martin W. Licht
A Divergence-Conforming Finite Element Method for the Surface Stokes Equation. SIAM J. Numer. Anal. 58 (5) (2020)
Andrea Bonito, Alan Demlow, Ricardo H. Nochetto
Finite Element Methods for the Laplace-Beltrami Operator. CoRR (2019)
Andrea Bonito, Alan Demlow
Surfaces. SIAM J. Numer. Anal. 57 (3) (2019)
Andrea Bonito, Alan Demlow, Martin W. Licht
A divergence-conforming finite element method for the surface Stokes equation. CoRR (2019)
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) (2018)
Alan Demlow
Convergence and quasi-optimality of adaptive finite element methods for harmonic forms. Numerische Mathematik 136 (4) (2017)
Alan Demlow, Natalia Kopteva
Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems. Numerische Mathematik 133 (4) (2016)
Bernardo Cockburn, Alan Demlow
Hybridizable discontinuous Galerkin and mixed finite element methods for elliptic problems on surfaces. Math. Comput. 85 (302) (2016)
Andrea Bonito, Alan Demlow
Convergence and Optimality of Higher-Order Adaptive Finite Element Methods for Eigenvalue Clusters. SIAM J. Numer. Anal. 54 (4) (2016)
Alan Demlow
Quasi-optimality of adaptive finite element methods for controlling local energy errors. Numerische Mathematik 134 (1) (2016)
Alan Demlow, Anil N. Hirani
A Posteriori Error Estimates for Finite Element Exterior Calculus: The de Rham Complex. Found. Comput. Math. 14 (6) (2014)
Alan Demlow, Stig Larsson
Local pointwise a posteriori gradient error bounds for the Stokes equations. Math. Comput. 82 (282) (2013)
Alan Demlow, Emmanuil H. Georgoulis
Pointwise a Posteriori Error Control for Discontinuous Galerkin Methods for Elliptic Problems. SIAM J. Numer. Anal. 50 (5) (2012)
Alan Demlow, Dmitriy Leykekhman, Alfred H. Schatz, Lars B. Wahlbin
norm for finite element methods on graded meshes. Math. Comput. 81 (278) (2012)
Alan Demlow, Maxim A. Olshanskii
An Adaptive Surface Finite Element Method Based on Volume Meshes. SIAM J. Numer. Anal. 50 (3) (2012)
Alan Demlow, Rob Stevenson
errors. Numerische Mathematik 117 (2) (2011)
Alan Demlow, Johnny Guzmán, Alfred H. Schatz
Local energy estimates for the finite element method on sharply varying grids. Math. Comput. 80 (273) (2011)
Alan Demlow
Convergence of an Adaptive Finite Element Method for Controlling Local Energy Errors. SIAM J. Numer. Anal. 48 (2) (2010)
Alan Demlow, Charalambos G. Makridakis
Sharply local pointwise a posteriori error estimates for parabolic problems. Math. Comput. 79 (271) (2010)
Alan Demlow
Higher-Order Finite Element Methods and Pointwise Error Estimates for Elliptic Problems on Surfaces. SIAM J. Numer. Anal. 47 (2) (2009)
Alan Demlow, Omar Lakkis, Charalambos G. Makridakis
A Posteriori Error Estimates in the Maximum Norm for Parabolic Problems. SIAM J. Numer. Anal. 47 (3) (2009)
Alan Demlow
estimates for finite element methods for quasilinear problems. Math. Comput. 76 (260) (2007)
Alan Demlow
Local a posteriori estimates for pointwise gradient errors in finite element methods for elliptic problems. Math. Comput. 76 (257) (2007)
Alan Demlow, Gerhard Dziuk
An Adaptive Finite Element Method for the Laplace-Beltrami Operator on Implicitly Defined Surfaces. SIAM J. Numer. Anal. 45 (1) (2007)
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) (2006)
Alan Demlow
Localized pointwise error estimates for mixed finite element methods. Math. Comput. 73 (248) (2004)
Alan Demlow
Piecewise linear finite element methods are not localized. Math. Comput. 73 (247) (2004)
Alan Demlow
Suboptimal and Optimal Convergence in Mixed Finite Element Methods. SIAM J. Numer. Anal. 39 (6) (2002)