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SWEEPING PRECONDITIONERS FOR ELASTIC WAVE PROPAGATION WITH SPECTRAL ELEMENT METHODS
Elastic wave seismic wave time-harmonic frequency domain spectral elements parallel preconditioner iterative solver sparse-direct perfectly matched layers full waveform inversion
2015/7/14
We present a parallel preconditioning method for the iterative solution of the time-harmonicelastic wave equation which makes use of higher-order spectral elements to reduce pollution error. In partic...
PRECONDITIONERS FOR INDEFINITE SYSTEMS ARISING IN OPTIMIZATION
indefinite systems preconditioners linear programming
2015/7/3
Methods are discussed for the solution of sparse linear equations Ky z, where K is
symmetric and indefinite. Since exact solutions are not always required, direct and iterative methods
are both of i...
On nonlinear preconditioners in Newton–Krylov methods for unsteady flows
unsteady fl ows preconditioning Newton–Krylov methods matrix-free methods
2015/7/2
The application of nonlinear schemes like dual time stepping as preconditioners in matrix-free Newton Krylov-solvers is considered and analyzed, with a special emphasis on unsteady viscous flows...
Multilevel Preconditioners for Discontinuous Galerkin Approximations of Elliptic Problems with Jump Coefficients
Multilevel preconditioner discontinuous Galerkin methods Crouzeix-Raviart nite elements
2011/1/19
In this article we develop and analyze two-level and multi-level methods for the
family of Interior Penalty (IP) discontinuous Galerkin (DG) discretizations of second order
elliptic problems with ro...
Preconditioners based on Windowed Fourier Frames Applied to Elliptic Partial Differential Equations
Windowed Fourier frame symbol elliptic PDE preconditioner
2010/12/3
We investigate the application of windowed Fourier frames (WFFs) to the numerical solution of partial di erential equations, focussing on elliptic equations. The action of a partial di erential operat...
Structured Preconditioners for Nonsingular Matrices of Block Two-by-Two Structures
Block Two-by-Two Matrix Preconditioner Modi ed Block Relaxation Iteration Eigenvalue Distribution Positive De niteness
2012/8/1
For the large sparse block two-by-two real nonsingular matrices, we establish a general framework of practical and ecient structured preconditioners through matrix transformation and matrix approxima...