Preprints (submitted):

• A. Demlow, Convergence of an adaptive finite element method for controlling local energy errors, submitted.
  
  Abstract (text file)             Preprint (PDF)



• A. Demlow, J. Guzmán, and A.H. Schatz, Local energy estimates for the finite element method on sharply varying grids, submitted.
  
  Abstract (text file)             Preprint (PDF)



• A. Demlow and C. Makridakis, Sharply local pointwise a posteriori error estimates for parabolic problems, submitted.
  
  Abstract (text file)            Preprint (PDF)

Published and accepted papers:

• A. Demlow, O. Lakkis, and C. Makridakis, A posteriori error estimates in the maximum norm for parabolic problems, to appear in SIAM J. Numer. Anal.
  
  Abstract (text file)             Preprint (PDF)



• A. Demlow, Higher-order finite element methods and pointwise error estimates for elliptic problems on surfaces, SIAM J. Numer. Anal. 47 (2009), 805-827.
  
  Abstract (text file)             Preprint (PDF)



• A. Demlow, Sharply localized pointwise and $W_\infty^{-1}$ estimates for finite element methods for quasilinear problems, Math. Comp. 76 (2007), 1725-1741.
  
  Abstract (text file)             Preprint (PDF, 250K)



• A. Demlow and G. Dziuk, An adaptive finite element method for the Laplace-Beltrami operator on surfaces, SIAM J. Numer. Anal. 45 (2007), 421-442.
  
  Abstract (text file)             Preprint (PDF, 1000K)



• A. Demlow, Local a posteriori estimates for pointwise gradient errors in finite element methods for elliptic problems, Math. Comp. 76 (2007), 19-42.
  
  Abstract (text file)             Preprint (PDF, 492K)



• A. 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 (2006), no. 2, 494-514.
  
  Abstract (text file)             Article (PDF, 492K; copyright held by SIAM, distributed with permission)



• A. Demlow, Piecewise linear finite element methods are not localized, Math. Comp. 73 (2004), no. 247, 1195-1201.
  
  Abstract (text file)             Preprint (PDF, 156K)



• A. Demlow, Localized pointwise error estimates for mixed finite element methods, Math. Comp. 73 (2004), no. 248, 1623-1653.
  
  Abstract (text file)             Preprint (PDF, 294K)



• A. Demlow, Suboptimal and optimal convergence in mixed finite element methods, SIAM J. Numer. Anal 39 (2002), no. 6, 1938--1953.
  
  Abstract (text file)             Article (PDF, 184K; copyright held by SIAM, distributed with permission)

Technical reports/other:

• A. Demlow, Weighted residual estimators for a posteriori estimation of pointwise gradient errors in quasilinear elliptic problems, Preprint [05-12] of the Mathematisches Institut der Universität Freiburg, 2005.
  
  Abstract (text file)             Preprint (PDF, 352K)