Harmonic averages, exact difference schemes and local Green’s functions in variable coefficient PDE problems

0397006 - ÚGN 2015 RIV PL eng J - Journal Article
Axelsson, Owe - Karátson, J.
Harmonic averages, exact difference schemes and local Green’s functions in variable coefficient PDE problems.
Central European Journal of Mathematics. Roč. 11, č. 8 (2013), s. 1441-1457. ISSN 1895-1074
R&D Projects: GA MŠMT ED1.1.00/02.0070
Institutional support: RVO:68145535
Keywords : variable coefficients * harmonic averages * singular perturbation * local Green´s functions * exact difference schemes
Subject RIV: BA - General Mathematics
Impact factor: 0.519, year: 2013
http://download.springer.com/static/pdf/594/art%253A10.2478%252Fs11533-013-0257-1.pdf?auth66=1381396697_42d4595f22831b36eb7a6425afad6c5d&ext=.pdf

A brief survey is given to show that harmonic averages enter in a natural way in the numerical solution of various variable coefficient problems, such as in elliptic and transport equations, also of singular perturbation types. Local Green’s functions used as test functions in the Petrov–Galerkin finite element method combined with harmonic averages can be very efficient and are related to exact difference schemes.
Permanent Link: http://hdl.handle.net/11104/0224692