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Interface control domain decomposition methods for heterogeneous problems

Author
Discacciati, M.; Gervasio, P.; Quarteroni, A.
Type of activity
Journal article
Journal
International journal for numerical methods in fluids
Date of publication
2014-11-20
Volume
76
Number
8
First page
471
Last page
496
DOI
https://doi.org/10.1002/fld.3942 Open in new window
Abstract
This paper is concerned with the solution of heterogeneous problems by the interface control domain decomposition (ICDD) method, a strategy introduced for the solution of partial differential equations in computational domains partitioned into subdomains that overlap. After reformulating the original boundary value problem by introducing new additional control variables, the unknown traces of the solution at internal subdomain interfaces; the latter are determined by requiring that the (a priori...
Keywords
APPROXIMATION, EQUATIONS, GROUNDWATER FLOWS, ICDD method, JOSEPH, SAFFMAN, STOKES, SURFACE, Stokes-Darcy coupling, advection-diffusion, domain decomposition methods, heterogeneous problems, hp-finite elements
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

Participants

  • Discacciati, Marco  (author)
  • Gervasio, Paola  (author)
  • Quarteroni, Alfio  (author)