The construction of preconditioners for elliptic problems by substructuring. I
JH Bramble, JE Pasciak, AH Schatz - Mathematics of computation, 1986 - ams.org
… elliptic boundary value problems on general domains in R2 and R3. In particular, we shall be
concerned with constructing easily invertible and "effective" preconditioners … problems in R2…
concerned with constructing easily invertible and "effective" preconditioners … problems in R2…
The construction of preconditioners for elliptic problems by substructuring. IV
JH Bramble, JE Pasciak, AH Schatz - Mathematics of Computation, 1989 - ams.org
… of elliptic boundary value problems defined on three… preconditioners for such systems based
on substructuring … In Section 3, we show how the construction of the preconditioner B can be …
on substructuring … In Section 3, we show how the construction of the preconditioner B can be …
The construction of preconditioners for elliptic problems by substructuring. II
JH Bramble, JE Pasciak, AH Schatz - Mathematics of Computation, 1987 - ams.org
… be concerned with constructing easily invertible and "effective" preconditioners for the …
problem for a second-order uniformly elliptic equation we shall consider the Dirichlet problem …
problem for a second-order uniformly elliptic equation we shall consider the Dirichlet problem …
The construction of preconditioners for elliptic problems by substructuring. III
JH Bramble, JE Pasciak, AH Schatz - Mathematics of Computation, 1988 - ams.org
… , we constructed preconditioners for the discrete systems of equations arising from the numerical
approximation of elliptic boundary value problems. … even more efficient preconditioners. …
approximation of elliptic boundary value problems. … even more efficient preconditioners. …
Iterative substructuring methods: Algorithms and theory for elliptic problems in the plane
OB Widlund - … Symposium on Domain Decomposition Methods for …, 1988 - books.google.com
… and the second standard preconditioner, which we will now … for elliptic problems on regions
partitioned into substructures, … , The construction of preconditioners for elliptic problems by …
partitioned into substructures, … , The construction of preconditioners for elliptic problems by …
Multilevel preconditioners for elliptic problems by substructuring
PS Vassilevski - Applied mathematics and computation, 1991 - Elsevier
… We consider the construction of preconditioners for reduced Schur problems for solving
finite… The preconditioners are based on approximations of the considered elliptic problem on a …
finite… The preconditioners are based on approximations of the considered elliptic problem on a …
Substructure preconditioners for elliptic saddle point problems
T Rusten, R Winther - mathematics of computation, 1993 - ams.org
… to the applications of preconditioners constructed by fast solvers associated with the different
substructures of the domain, ie, to preconditioners constructed by domain decomposition. …
substructures of the domain, ie, to preconditioners constructed by domain decomposition. …
[PDF][PDF] Substructuring preconditioning for finite element approximations of second order elliptic problems. II. Mixed method for an elliptic operator with scalar tensor
S Maliassov - 1994 - conservancy.umn.edu
… of constructing algebraic multilevel preconditioners for mixed finite element methods for second
order elliptic problems … Algebraic multilevel preconditioners are then constructed for this …
order elliptic problems … Algebraic multilevel preconditioners are then constructed for this …
Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions
M Dryja, BF Smith, OB Widlund - SIAM journal on numerical analysis, 1994 - SIAM
… For the construction of the preconditioner, we assume that the set of elements is … substructures
j. For many of the algorithms considered in this paper,the shapes of the substructures can …
j. For many of the algorithms considered in this paper,the shapes of the substructures can …
Preconditioned iterative methods for elliptic problems on decomposed domains
TN Phillips - International journal of computer mathematics, 1992 - Taylor & Francis
… for the solution of elliptic problems on regions partitioned into substructures. SIAM J. Numer.
… Schatz, The construction of preconditioners for elliptic problems by substructuring, I, Math …
… Schatz, The construction of preconditioners for elliptic problems by substructuring, I, Math …