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)

Preview

PDF. Filename: 060677616.pdf Preprint Download (231kB)| Preview

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

• Share and Export
  

  RDF+XMLBibTeXRIOXX2 XMLRDF+N-TriplesJSONDublin CoreAtomSimple MetadataReferMETSHTML CitationASCII CitationOpenURL ContextObjectEndNoteOpenURL ContextObject in SpanMODSMPEG-21 DIDLEP3 XMLData Cite XMLRIS (EndNote Online, Zotero, Ref manager, etc)RDF+N3Multiline CSV
• 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:	14 Apr 2024 00:27
  URI:	https://strathprints.strath.ac.uk/id/eprint/44819