Domain decomposition method of stochastic PDEs: a two-level scalable preconditioner

A domain decomposition method of stochastic PDEs: An iterative solution techniques using a two-level scalable preconditioner

Recent advances in high performance computing systems and sensing technologies motivate computational simulations with extremely high resolution models with capabilities to quantify uncertainties for credible numerical predictions. A two-level domain decomposition method is reported in this investigation to devise a linear solver for the large-scale system in the Galerkin spectral stochastic fi...

UN CO RR EC TE D PR O O F 1 Domain Decomposition Methods of Stochastic PDEs 2

In conjunction with modern high performance computing systems, domain decomAQ1 8 position algorithms permit simulation of PDEs with extremely high resolution nu9 merical models. Such computational models substantially reduce discretization er10 rors. In realistic simulation of certain physical systems, it is however necessary to 11 consider the heterogeneities of the model parameters. Whenever ...

Scalable Parallel Domain Decomposition Methods for Numerical Simulation of PDEs

This paper is concerned about scalable parallel domain decomposition methods for numerical simulation of PDEs. First, one level and two level scalable parallel domain decomposition methods which can be used to solve different equations, are introduced in detail, and then we explain Krylov subspace accelerator technique used to improve the convergence of the methods. Last, the results of some nu...

An adapted coarse space for Balancing domain decomposition method to solve nonlinear elastodynamic problems

This work is devoted to present a scalable domain decomposition method to solve nonlinear elastodynamic problems. Large non linear elastodynamic problems represent an appropriate application field for substructuring methods which are efficient on parallel computer with the proviso of using specific preconditioner techniques well adapted to the mechanical modeling. According to this reason, we d...

Parallel application of a novel domain decomposition preconditioner for the adaptive finite-element solution of three-dimensional convection-dominated PDEs