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" preconditionersproblems 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 …

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

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. …

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 …

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 …

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. …

[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 …

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 …

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 …