Publications and Preprints of Alan Demlow
Publications and preprints:
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A. Demlow, O. Lakkis, and C. Makridakis, A posteriori error estimates in the maximum norm for parabolic problems, submitted.
Abstract (text file) Preprint (PDF)
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A. Demlow, Higher-order finite element methods and pointwise error estimates for elliptic problems on surfaces, submitted.
Abstract (text file) Preprint (PDF)
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A. Demlow and C. Makridakis, Sharply local pointwise a posteriori error estimates for parabolic problems, submitted.
Abstract (text file) Preprint (PDF)
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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)
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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)
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A. Demlow, Weighted residual estimators for a posteriori estimation of pointwise gradient errors in quasilinear elliptic problems, preprint (submitted).
Abstract (text file) Preprint (PDF, 352K)
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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)
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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)
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A. Demlow, Piecewise linear finite element methods are not localized, Math. Comp. 73 (2004), no. 247, 1195-1201.
Abstract (text file) Preprint (PDF, 156K)
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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)
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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)