Displacement preconditioner for Toeplitz least squares iterations.
Displacement Structure of Generalized Inverse At,s(1,2)
Domain decomposition and multigrid algorithms for elliptic problems on unstructured meshes.
Domain decomposition methods coupled with parareal for the transient heat equation in 1 and 2 spatial dimensions
We present a parallel solution algorithm for the transient heat equation in one and two spatial dimensions. The problem is discretized in space by the lowest-order conforming finite element method. Further, a one-step time integration scheme is used for the numerical solution of the arising system of ordinary differential equations. For the latter, the parareal method decomposing the time interval into subintervals is employed. It leads to parallel solution of smaller time-dependent problems. At...
Domain Embedding Methods for the Stokes Equations.
Domains of Divergence of the USSOR Method Applied on p-Cyclic Matrices.
Dual variable methods for mixed-hybrid finite element approximation of the potential fluid flow problem in porous media.
Dynamical systems method for solving linear finite-rank operator equations
A version of the dynamical systems method (DSM) for solving ill-conditioned linear algebraic systems is studied. An a priori and an a posteriori stopping rules are justified. An iterative scheme is constructed for solving ill-conditioned linear algebraic systems.