Demlow, Alan Professor

academic article

• Demlow, A. (2017). Convergence and quasi-optimality of adaptive finite element methods for harmonic forms. Numerische Mathematik.  136(4), 941-971.
  
• Cockburn, B., & Demlow, A. (2016). Hybridizable discontinuous Galerkin and mixed finite element methods for elliptic problems on surfaces. Mathematics of Computation.  85(302), 2609-2638.
  
• Demlow, A. (2016). Quasi-optimality of adaptive finite element methods for controlling local energy errors. Numerische Mathematik.  134(1), 27-60.
  
• Demlow, A., & Kopteva, N. (2016). Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems. Numerische Mathematik.  133(4), 707-742.
  
• Bonito, A., & Demlow, A. (2016). CONVERGENCE AND OPTIMALITY OF HIGHER-ORDER ADAPTIVE FINITE ELEMENT METHODS FOR EIGENVALUE CLUSTERS. SIAM Journal on Numerical Analysis.  54(4), 2379-2388.
  
• Camacho, F., & Demlow, A. (2015). L 2 and pointwise a posteriori error estimates for FEM for elliptic PDEs on surfaces. IMA Journal of Numerical Analysis.  35(3), 1199-1227.
  
• Demlow, A., & Hirani, A. N. (2014). A Posteriori Error Estimates for Finite Element Exterior Calculus: The de Rham Complex. Foundations of Computational Mathematics.  14(6), 1337-1371.
  
• Demlow, A., & Larsson, S. (2012). Local pointwise a posteriori gradient error bounds for the Stokes equations. Mathematics of Computation.  82(282), 625-649.
  
• Demlow, A., & Olshanskii, M. A. (2012). An Adaptive Surface Finite Element Method Based on Volume Meshes. SIAM Journal on Numerical Analysis.  50(3), 1624-1647.
  
• Demlow, A., & Georgoulis, E. H. (2012). Pointwise a Posteriori Error Control for Discontinuous Galerkin Methods for Elliptic Problems. SIAM Journal on Numerical Analysis.  50(5), 2159-2181.
  
• Demlow, A., Leykekhman, D., Schatz, A. H., & Wahlbin, L. B. (2011). Best approximation property in the W 1 W^1_{infty } norm for finite element methods on graded meshes. Mathematics of Computation.  81(278), 743-764.
  
• Demlow, A., & Stevenson, R. (2011). Convergence and quasi-optimality of an adaptive finite element method for controlling L2 errors. Numerische Mathematik.  117(2), 185-218.
  
• Demlow, A., Guzmn, J., & Schatz, A. H. (2010). Local energy estimates for the finite element method on sharply varying grids. Mathematics of Computation.  80(273), 1-9.
  
• Demlow, A., & Makridakis, C. (2010). Sharply local pointwise a posteriori error estimates for parabolic problems. Mathematics of Computation.  79(271), 1233-1262.
  
• Demlow, A. (2010). Convergence of an Adaptive Finite Element Method for Controlling Local Energy Errors. SIAM Journal on Numerical Analysis.  48(2), 470-497.
  
• Demlow, A., Lakkis, O., & Makridakis, C. (2009). A Posteriori Error Estimates in the Maximum Norm for Parabolic Problems. SIAM Journal on Numerical Analysis.  47(3), 2157-2176.
  
• Demlow, A. (2009). Higher-Order Finite Element Methods and Pointwise Error Estimates for Elliptic Problems on Surfaces. SIAM Journal on Numerical Analysis.  47(2), 805-827.
  
• Demlow, A. (2007). Sharply localized pointwise and W 1 W_infty ^{-1} estimates for finite element methods for quasilinear problems. Mathematics of Computation.  76(260), 1725-1741.
  
• Demlow, A., & Dziuk, G. (2007). An Adaptive Finite Element Method for the LaplaceBeltrami Operator on Implicitly Defined Surfaces. SIAM Journal on Numerical Analysis.  45(1), 421-442.
  
• Demlow, A. (2007). Local a posteriori estimates for pointwise gradient errors in finite element methods for elliptic problems. Mathematics of Computation.  76(257), 19-42.
  
• Demlow, A. (2006). Localized pointwise a posteriori error estimates for gradients of piecewise linear finite element approximations to second-order quasilinear elliptic problems. SIAM Journal on Numerical Analysis.  44(2), 494-514.
  
• Demlow, A. (2004). Localized pointwise error estimates for mixed finite element methods. Mathematics of Computation.  73(248), 1623-1653.
  
• Demlow, A. (2003). Piecewise linear finite element methods are not localized. Mathematics of Computation.  73(247), 1195-1201.
  
• Demlow, A. (2002). Suboptimal and Optimal Convergence in Mixed Finite Element Methods. SIAM Journal on Numerical Analysis.  39(6), 1938-1953.
  
• Demlow, A. R., Eldred, D. V., Johnson, D. A., & Westrum, E. F. (1998). Advantages to conversion of lattice heat capacity to C-V in the resolution of excess properties - The Ln(2)S(3)'s as an example. 52(3), 1055-1062.