Abstract
We study linear parabolic problems with known time period by multigrid dynamic it- eration or multigrid waveform relaxation on spatial finite element meshes. The multigrid acceleration of the paper is an iteration process in function space. For multigrid dynamic iteration operators arising from the accelerated technique new spectral expressions are established by calculating coefficients of Fourier series of periodic functions. The convergence conditions of continuous-time and discrete-time iterative processes are also deduced from the useful expressions. Numerical experiments are provided to further illustrate the new theoretical results of the paper.
Translated title of the contribution | Multigrid dynamic iteration of time-periodic parabolic problems on spatial finite element meshes |
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Original language | Chinese (Simplified) |
Pages (from-to) | 113-128 |
Number of pages | 16 |
Journal | Mathematica Numerica Sinica |
Volume | 30 |
Issue number | 2 |
Publication status | Published - May 2008 |
Externally published | Yes |