A. H. Schatz

Overview

Best Publications

• The construction of preconditioners for elliptic problems by substructuring. I

  J H Bramble;J E Pasciak;A H Schatz

  768
  Citations

• An observation concerning Ritz-Galerkin methods with indefinite bilinear forms

  Alfred H. Schatz

  593
  Citations

• Interior estimates for Ritz-Galerkin methods

  Joachim A. Nitsche;Alfred H. Schatz

  408
  Citations

• Higher order local accuracy by averaging in the finite element method

  J. H. Bramble;A. H. Schatz

  370
  Citations

• Interior maximum-norm estimates for finite element methods, part II

  A. H. Schatz;L. B. Wahlbin

  304
  Citations

• An iterative method for elliptic problems on regions partitioned into substructures

  J H Bramble;J E Pasciak;A H Schatz

  260
  Citations

• Crosswind Smear and Pointwise Errors in Streamline Diffusion Finite Element Methods

  C. Johnson;A. H. Schatz;L. B. Wahlbin

  232
  Citations

• Maximum norm estimates in the finite element method on plane polygonal domains. I

  A. H. Schatz;L. B. Wahlbin

  225
  Citations

• Superconvergence in finite element methods and meshes that are locally symmetric with respect to a point

  A. H. Schatz;I. H. Sloan;L. B. Wahlbin

  214
  Citations

• A preconditioning technique for the efficient solution of problems with local grid refinement

  James H. Bramble;Richard E. Ewing;Joseph E. Pasciak;Alfred H. Schatz

  211
  Citations

• On the quasi-optimality in _{∞} of the ¹-projection into finite element spaces

  A. H. Schatz;L. B. Wahlbin

  199
  Citations

• Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations

  J. H. Bramble;A. H. Schatz;V. Thomée;L. B. Wahlbin

  176
  Citations

• Rayleigh‐Ritz‐Galerkin methods for dirichlet's problem using subspaces without boundary conditions

  James H. Bramble;Alfred H. Schatz

  166
  Citations

• On the finite element method for singularly perturbed reaction-diffusion problems in two and one dimensions

  A. H. Schatz;L. B. Wahlbin

  163
  Citations

• Pointwise error estimates and asymptotic error expansion inequalities for the finite element method on irregular grids: part I. global estimates

  Alfred H. Schatz

  157
  Citations

• Maximum norm stability and error estimates in parabolic finite element equations

  A. H. Schatz;V. Thomée;L. B. Wahlbin

  132
  Citations

• Maximum norm estimates in the finite element method on plane polygonal domains. II. Refinements

  A. H. Schatz;L. B. Wahlbin

  132
  Citations

• A weak discrete maximum principle and stability of the finite element method in _{∞} on plane polygonal domains. I

  Alfred H. Schatz

  114
  Citations

• Some new error estimates for Ritz-Galerkin methods with minimal regularity assumptions

  Alfred H. Schatz;Junping Wang

  111
  Citations

• Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes. Part 1: a smooth problem and globally quasi-uniform meshes

  W. Hoffmann;A. H. Schatz;B. Wahlbin;G. Wittum

  97
  Citations