3D finite-element forward modeling of electromagnetic data using vector and scalar potentials and unstructured grids

S Ansari, CG Farquharson - Geophysics, 2014 - library.seg.org
We present a finite-element solution to the 3D electromagnetic forward-modeling problem in
the frequency domain. The method is based on decomposing the electric field into vector …

Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems: Poisson and convection-diffusion control

O Axelsson, S Farouq, M Neytcheva - Numerical Algorithms, 2016 - Springer
Saddle point matrices of a special structure arise in optimal control problems. In this paper
we consider distributed optimal control for various types of scalar stationary partial …

Preconditioned GSOR iterative method for a class of complex symmetric system of linear equations

D Hezari, V Edalatpour… - Numerical Linear Algebra …, 2015 - Wiley Online Library
In this paper, we present a preconditioned variant of the generalized successive
overrelaxation (GSOR) iterative method for solving a broad class of complex symmetric …

On preconditioned iteration methods for complex linear systems

ZZ Bai - Journal of Engineering Mathematics, 2015 - Springer
A complex system of linear equations arises in many important applications. We further
explore algebraic and convergence properties and present analytical and numerical …

[HTML][HTML] Double-step scale splitting iteration method for a class of complex symmetric linear systems

Z Zheng, FL Huang, YC Peng - Applied Mathematics Letters, 2017 - Elsevier
In this paper, a double-step scale splitting (DSS) iteration method is proposed to solve a
class of complex symmetric of linear equation. Unconditional convergence result is …

[HTML][HTML] A new iteration method for a class of complex symmetric linear systems

T Wang, Q Zheng, L Lu - Journal of Computational and Applied …, 2017 - Elsevier
In this paper, a new iteration method is proposed for solving the complex symmetric linear
systems. In theory, we show that the convergence factor or the upper bound of the spectral …

Preconditioning for radial basis function partition of unity methods

A Heryudono, E Larsson, A Ramage… - Journal of Scientific …, 2016 - Springer
Meshfree radial basis function (RBF) methods are of interest for solving partial differential
equations due to attractive convergence properties, flexibility with respect to geometry, and …

A new version of a preconditioning method for certain two-by-two block matrices with square blocks

O Axelsson, DK Salkuyeh - BIT Numerical Mathematics, 2019 - Springer
Two-by-two block matrices with square matrix blocks arise in many important applications.
Since the problems are of large scale, iterative solution methods must be used. Thereby the …

Several variants of the Hermitian and skew‐Hermitian splitting method for a class of complex symmetric linear systems

SL Wu - Numerical Linear Algebra with Applications, 2015 - Wiley Online Library
This paper is concerned with several variants of the Hermitian and skew‐Hermitian splitting
iteration method to solve a class of complex symmetric linear systems. Theoretical analysis …

Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems

O Axelsson, D Lukáš - Journal of numerical mathematics, 2019 - degruyter.com
Time-harmonic problems arise in many important applications, such as eddy current
optimally controlled electromagnetic problems. Eddy current modelling can also be used in …