Krylov Subspace Spectral Methods With Coarse-Grid Residual Correction For Solving Time-Dependent, Variable-Coefficient PDEs
Document Type
Conference Proceeding
Publication Date
1-1-2017
School
Polymer Science and Engineering
Abstract
Krylov Supspace Spectral (KSS) methods provide an efficient approach to the solution of time-dependent, variable-coefficient partial differential equations by using an interpolating polynomial with frequency-dependent interpolation points to approximate a solution operator for each Fourier coefficient. KSS methods are high-order accurate time-stepping methods that also scale effectively to higher spatial resolution. In this paper, we will demonstrate the effectiveness of using coarse-grid residual correction, generalized to the time-dependent case, to improve the accuracy and efficiency of KSS methods. Numerical experiments demonstrate the effectiveness of this correction.
Publication Title
Lecture Notes in Computational Science and Engineering
Volume
119
First Page
317
Last Page
329
Recommended Citation
Dozier, H.,
Lambers, J.
(2017). Krylov Subspace Spectral Methods With Coarse-Grid Residual Correction For Solving Time-Dependent, Variable-Coefficient PDEs. Lecture Notes in Computational Science and Engineering, 119, 317-329.
Available at: https://aquila.usm.edu/fac_pubs/19196
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