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出 处:《计算数学》2002年第4期501-512,共12页Mathematica Numerica Sinica
摘 要:1.引言 本文考虑如下不含阻尼项的波动方程的有限元逼近:This paper provides an convergence analysis of a fractional-step projection method for a class of wave equations by means of finite element approximations. Error estimates in finite time are given. And it is verified that provided the time-stepsize St is sufficiently small, the proposed algorithm yields for finite time T an error of O(δt + hl+1) in the L2-norm for the vector value function u and an error of O(δt + hl) in the H1-norm(or in the Z2-norm for the scalar function φ) , where h is the mesh size and l is the polynomial degree of the approximate displacement. In addition, some numerical results are reported in the paper.
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