Premium
Numerical zoom for advection diffusion problems with localized multiscales
Author(s) -
Lozinski Alexei,
Pironneau Olivier
Publication year - 2011
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20642
Subject(s) - partial differential equation , polygon mesh , domain decomposition methods , advection , mathematics , zoom , domain (mathematical analysis) , partial derivative , elliptic partial differential equation , porous medium , parabolic partial differential equation , diffusion , mathematical analysis , finite element method , geometry , porosity , geology , physics , thermodynamics , lens (geology) , geotechnical engineering , petroleum engineering
We investigate the Schwarz'domain decomposition algorithm for numerical zooms. Error estimates are given for nonmatching meshes for elliptic and parabolic partial differential equations. The method is applied to the security assessment of the burial of nuclear waste which is a typical multiscale problem for porous media flow. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010