MULTIGRID DYNAMIC ITERATION OF TIME-PERIODIC PARABOLIC PROBLEMS ON SPATIAL FINITE ELEMENT MESHES
抛物方程时间周期问题的有限元多格子动力学迭代

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 es- tablished 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.