Additive operator decomposition and optimization–based reconnection with applications

Authors:
Pavel Bochev;Denis Ridzal
Affiliations:
Applied Mathematics and Applications;Sandia National Laboratories, Optimization and Uncertainty Quantification, Albuquerque, NM
Venue:
LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing
Year:
2009

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Abstract

We develop an optimization-based approach for additive decomposition and reconnection of algebraic problems arising from discretizations of partial differential equations (PDEs) Application to a scalar convection–diffusion PDE illustrates the new approach In particular, we derive a robust iterative solver for convection–dominated problems using standard multilevel solvers for the Poisson equation.