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

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Axelsson O., Karátson J.

Open Mathematics

2013

tom 11

nr 8

1441-1457

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.

Ograniczanie wyników

1 Open Mathematics

1 Axelsson O.

1 Karátson J.

1 2013

Wyniki wyszukiwania

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