===affil2:
Oak Ridge National Laboratory
===firstname:
Rahul
===firstname4:

===firstname3:
Srdjan
===lastname2:
Philip
===lastname:
Sampath
===firstname5:

===affil6:

===lastname3:
Simunovic
===email:
sampathrs@ornl.gov
===lastname6:

===affil5:

===otherauths:

===lastname4:

===affil4:

===lastname7:

===affil7:

===firstname7:

===postal:
Oak Ridge National Laboratory
1 Bethel Valley Road, Oak Ridge, TN - 37830
===firstname6:

===ABSTRACT:
We will present a new preconditioner to solve the linear systems of equations arising from the discretization of elliptic partial differential equations (PDEs) using the finite element method. This is a recursive algorithm that uses (a) non-overlapping domain decomposition, (b) Schur decomposition, (c) Krylov subspace method and (d) a fast solver such as multigrid. We will also describe the parallel implementation of this algorithm. Although the algorithm is general enough to be applied to solve a wide variety of elliptic PDEs, we will focus on a model Poisson problem for demonstration purposes. The algorithm can also be extended to other discretizations such as finite difference or finite volume methods.
===affil3:
Oak Ridge National Laboratory
===lastname5:

===affilother:

===title:
Recursive Schur Decomposition
===firstname2:
Bobby