TY - JOUR
T1 - Domain decomposition methods for solving parabolic PDEs on multiprocessors
AU - Israeli, M.
AU - Vozovoi, L.
AU - Averbuch, A.
PY - 1993/5
Y1 - 1993/5
N2 - Time-dependent partial differential equations of parabolic type are described for which the influence of remote regions is practically negligible. This property of locality can be exploited in domain decomposition techniques to simplify the global matching relations among subdomains. This paper presents two spectral multidomain approaches for the solution of parabolic PDEs when only minimal communication between adjacent subdomains is required. A brief survey of some principal domain decomposition approaches for solving elliptic and parabolic problems is also provided.
AB - Time-dependent partial differential equations of parabolic type are described for which the influence of remote regions is practically negligible. This property of locality can be exploited in domain decomposition techniques to simplify the global matching relations among subdomains. This paper presents two spectral multidomain approaches for the solution of parabolic PDEs when only minimal communication between adjacent subdomains is required. A brief survey of some principal domain decomposition approaches for solving elliptic and parabolic problems is also provided.
KW - Domain decomposition
KW - local methods
KW - parabolic, nonlinear, time-dependent PDEs
KW - spectral, Fourier basis
UR - http://www.scopus.com/inward/record.url?scp=38249001500&partnerID=8YFLogxK
U2 - 10.1016/0168-9274(93)90118-B
DO - 10.1016/0168-9274(93)90118-B
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AN - SCOPUS:38249001500
SN - 0168-9274
VL - 12
SP - 193
EP - 212
JO - Applied Numerical Mathematics
JF - Applied Numerical Mathematics
IS - 1-3
ER -