Robust and scalable hierarchical matrix-based fast direct solver and preconditioner for the numerical solution of elliptic partial differential equations

This dissertation introduces a novel fast direct solver and preconditioner for the solution of block tridiagonal linear systems that arise from the discretization of elliptic partial differential equations on a Cartesian product mesh, such as the variable-coefficient Poisson equation, the convection...

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Bibliographic Details
Main Author: Chavez, Gustavo Ivan
Other Authors: Keyes, David Elliot
Language:en
Published: 2017
Subjects:
Online Access:http://hdl.handle.net/10754/625172
http://repository.kaust.edu.sa/kaust/handle/10754/625172