Suboptimal and Optimal Convergence in Mixed Finite Element Methods. - Alan Demlow (SIAM J. Numer. Anal., 2002)

Piecewise linear finite element methods are not localized. - Alan Demlow (Math. Comput., 2004)

Localized pointwise error estimates for mixed finite element methods. - Alan Demlow (Math. Comput., 2004)

Localized pointwise a posteriori error estimates for gradients of piecewise linear finite element approximations to second-order quasilinear elliptic problems. - Alan Demlow (SIAM J. Numer. Anal., 2006)

Local a posteriori estimates for pointwise gradient errors in finite element methods for elliptic problems. - Alan Demlow (Math. Comput., 2007)

Sharply localized pointwise and W∞-1 estimates for finite element methods for quasilinear problems. - Alan Demlow (Math. Comput., 2007)

An Adaptive Finite Element Method for the Laplace-Beltrami Operator on Implicitly Defined Surfaces. - Alan Demlow; Gerhard Dziuk (SIAM J. Numer. Anal., 2007)

Higher-Order Finite Element Methods and Pointwise Error Estimates for Elliptic Problems on Surfaces. - Alan Demlow (SIAM J. Numer. Anal., 2009)

A Posteriori Error Estimates in the Maximum Norm for Parabolic Problems. - Alan Demlow; Omar Lakkis; Charalambos G. Makridakis (SIAM J. Numer. Anal., 2009)

Sharply local pointwise a posteriori error estimates for parabolic problems. - Alan Demlow; Charalambos G. Makridakis (Math. Comput., 2010)

Convergence of an Adaptive Finite Element Method for Controlling Local Energy Errors. - Alan Demlow (SIAM J. Numer. Anal., 2010)

Local energy estimates for the finite element method on sharply varying grids. - Alan Demlow; Johnny Guzmán; Alfred H. Schatz (Math. Comput., 2011)

Convergence and quasi-optimality of an adaptive finite element method for controlling L 2 errors. - Alan Demlow; Rob Stevenson 001 (Numerische Mathematik, 2011)

Best approximation property in the W1∞ norm for finite element methods on graded meshes. - Alan Demlow; Dmitriy Leykekhman; Alfred H. Schatz; Lars B. Wahlbin (Math. Comput., 2012)

Pointwise a Posteriori Error Control for Discontinuous Galerkin Methods for Elliptic Problems. - Alan Demlow; Emmanuil H. Georgoulis (SIAM J. Numer. Anal., 2012)

An Adaptive Surface Finite Element Method Based on Volume Meshes. - Alan Demlow; Maxim A. Olshanskii (SIAM J. Numer. Anal., 2012)

Local pointwise a posteriori gradient error bounds for the Stokes equations. - Alan Demlow; Stig Larsson 001 (Math. Comput., 2013)

A Posteriori Error Estimates for Finite Element Exterior Calculus: The de Rham Complex. - Alan Demlow; Anil N. Hirani (Found. Comput. Math., 2014)

Hybridizable discontinuous Galerkin and mixed finite element methods for elliptic problems on surfaces. - Bernardo Cockburn; Alan Demlow (Math. Comput., 2016)

Quasi-optimality of adaptive finite element methods for controlling local energy errors. - Alan Demlow (Numerische Mathematik, 2016)

Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems. - Alan Demlow; Natalia Kopteva (Numerische Mathematik, 2016)

Convergence and Optimality of Higher-Order Adaptive Finite Element Methods for Eigenvalue Clusters. - Andrea Bonito; Alan Demlow (SIAM J. Numer. Anal., 2016)

Convergence and quasi-optimality of adaptive finite element methods for harmonic forms. - Alan Demlow (Numerische Mathematik, 2017)

A Priori Error Estimates for Finite Element Approximations to Eigenvalues and Eigenfunctions of the Laplace-Beltrami Operator. - Andrea Bonito; Alan Demlow; Justin Owen (SIAM J. Numer. Anal., 2018)

Finite Element Methods for the Laplace-Beltrami Operator. - Andrea Bonito; Alan Demlow; Ricardo H. Nochetto (CoRR, 2019)

A Posteriori Error Estimates for the Laplace-Beltrami Operator on Parametric C2 Surfaces. - Andrea Bonito; Alan Demlow (SIAM J. Numer. Anal., 2019)

A Divergence-Conforming Finite Element Method for the Surface Stokes Equation. - Andrea Bonito; Alan Demlow; Martin W. Licht (SIAM J. Numer. Anal., 2020)

Maximum norm a posteriori error estimates for convection-diffusion problems. - Alan Demlow; Sebastian Franz; Natalia Kopteva (CoRR, 2022)

A mixed quasi-trace surface finite element method for the Laplace-Beltrami problem. - Alan Demlow (CoRR, 2023)

A Tangential and Penalty-Free Finite Element Method for the Surface Stokes Problem. - Alan Demlow; Michael Neilan (SIAM J. Numer. Anal., 2024)

A Taylor-Hood finite element method for the surface Stokes problem without penalization. - Alan Demlow; Michael Neilan (CoRR, 2025)