Alfred H. Schatz

Affiliations: 
Cornell University, Ithaca, NY, United States 
Area:
Mathematics, Theoretical Mathematics
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"Alfred Schatz"
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Publications

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Ku J, Schatz AH. (2012) Local a posteriori estimates on a nonconvex polygonal domain Siam Journal On Numerical Analysis. 50: 906-924
Demlow A, Leykekhman D, Schatz AH, et al. (2012) Best approximation property in the W 1 ∞ norm for finite element methods on graded meshes Mathematics of Computation. 81: 743-764
Schatz AH, Thomée V, Wahlbin LB. (2010) On positivity and maximum-norm contractivity in time stepping methods for parabolic equations Computational Methods in Applied Mathematics. 10: 421-443
Asadzadeh M, Schatz AH, Wendland W. (2010) Asymptotic error expansions for the finite element method for second order elliptic problems in RN, N ≥ 2. I: Local interior expansions Siam Journal On Numerical Analysis. 48: 2000-2017
Demlow A, Guzmán J, Schatz AH. (2010) Local Energy Estimates For The Finite Element Method On Sharply Varying Grids Mathematics of Computation. 80: 1-9
Demlow A, Guzmán J, Schatz AH. (2010) Local energy estimates for the finite element method on sharply varying grids Mathematics of Computation. 80: 1-9
Asadzadeh M, Schatz AH, Wendland W. (2009) A new approach to Richardson extrapolation in the finite element method for second order elliptic problems Mathematics of Computation. 78: 1951-1973
Guzmán J, Leykekhman D, Rossmann J, et al. (2009) Hölder estimates for Green's functions on convex polyhedral domains and their applications to finite element methods Numerische Mathematik. 112: 221-243
Schatz AH. (2005) Perturbations of forms and error estimates for the finite element method at a point, with an application to improved superconvergence error estimates for subspaces that are symmetric with respect to a point Siam Journal On Numerical Analysis. 42: 2342-2365
Schatz AH, Wahlbin LB. (2004) Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes. Part II: The piecewise linear case Mathematics of Computation. 73: 517-523
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