An error indicator for mortar element solutions to the Stokes problem

An error indicator for mortar element solutions to the Stokes problem

We are interested in the mortar spectral element discretization of the Stokes problem in a two‐dimensional polygonal domain. We propose a family of residual type error indicators and we prove estimates which allow us to compare them with the error. We explain how these indicators can be used for ada...

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Veröffentlicht in:IMA journal of numerical analysis 2001-10, Vol.21 (4), p.857-886
Hauptverfasser: Bernardi, Christine, Fiétier, Nicolas, Owens, Robert G.
Format: Artikel
Sprache:eng
Schlagworte:
error indicator
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
General theory
Laminar flows
Low-reynolds-number (creeping) flows
Mathematical analysis
Mathematics
mesh adaptivity
mortar element method
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Partial differential equations
Physics
Sciences and techniques of general use
Stokes problem
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Beschreibung
Zusammenfassung:We are interested in the mortar spectral element discretization of the Stokes problem in a two‐dimensional polygonal domain. We propose a family of residual type error indicators and we prove estimates which allow us to compare them with the error. We explain how these indicators can be used for adaptivity, and we present some numerical experiments.
ISSN:0272-4979
1464-3642
DOI:10.1093/imanum/21.4.857