In several applications in science and engineering, different types of matrix problems emerge from the discretization of partial differential equations.doctoral thesis 2018
This thesis is devoted to the development of new algorithms to solve this
kind of problems. In particular, when the matrices involved are sparse and
non-symmetric. The new algorithms...
An MSSS-preconditioned matrix equation approach for the time-harmonic elastic wave equation at multiple frequenciesBaumann, M.M. (author), Astudillo Rengifo, R.A. (author), Qiu, Y. (author), Ang, Y.M.E. (author), van Gijzen, M.B. (author), Plessix, R.E. (author)In this work, we present a new numerical framework for the efficient solution of the time-harmonic elastic wave equation at multiple frequencies. We show that multiple frequencies (and multiple right-hand sides) can be incorporated when the discretized problem is written as a matrix equation. This matrix equation can be solved efficiently...journal article 2018
Discretization of (linearized) convection-diusion-reaction problems yieldsreport 2016
a large and sparse non symmetric linear system of equations,
Ax = b: (1)
In this work, we compare the computational behavior of the Induced Dimension
Reduction method (IDR(s)) , with other short-recurrences Krylov methods,
specically the Bi...
This paper discusses the solution of large-scale linear matrix equations using the Induced Dimension reduction method (IDR(s)). IDR(s) was originally presented to solve system of linear equations, and is based on the IDR(s) theorem. We generalize the IDR(s) theorem to solve linear problems in any finite-dimensional space. This generalization...journal article 2016