Maximum norm a posteriori error estimate for a 2d singularly perturbed semilinear reaction-diffusion problem

Kopteva, Natalia (2008) Maximum norm a posteriori error estimate for a 2d singularly perturbed semilinear reaction-diffusion problem. SIAM Journal on Numerical Analysis, 46 (3). pp. 1602-1618. ISSN 0036-1429 (https://doi.org/10.1137/060677616)

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Abstract

A singularly perturbed semilinear reaction-diffusion equation, posed in the unit square, is discretized on arbitrary nonuniform tensor-product meshes. We establish a second-order maximum norm a posteriori error estimate that holds true uniformly in the small diffusion parameter. No mesh aspect ratio assumption is made. Numerical results are presented that support our theoretical estimate

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• Item metadata

  Item type:	Article
  ID code:	44819
  Dates:	Date Event 11 April 2008 Published 21 August 2007 Accepted
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	12 Sep 2013 14:51
  Last modified:	17 Nov 2024 01:08
  URI:	https://strathprints.strath.ac.uk/id/eprint/44819