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

0397006 - ÚGN 2015 RIV PL eng J - Článek v odborném periodiku
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
Grant CEP: GA MŠMT ED1.1.00/02.0070
Institucionální podpora: RVO:68145535
Klíčová slova: variable coefficients * harmonic averages * singular perturbation * local Green´s functions * exact difference schemes
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.519, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0224692