摘要
用Galakin有限元方法求解方程utt-uttxx-uxx-(1/p)(up)xx=0的初边值问题时,按照所构造的全离散格式要得到质量矩阵用一般的数值积分公式计算比较复杂;本文用质量集中有限元方法构造了该方程初边值问题的全离散质量集中格式;采用特定的数值积分公式,将其质量矩阵变为对角阵,从而有效地简化了质量矩阵的计算过程.结果且仍可得到H1模最优阶误差估计.
At the process of resolving the initial-boundary problem of the P-C equation by Galakin FEM, according to the scheme which is formed in this method, the calculation of the mass matrix is difficult. So in this paper a lumped mass finite element method for this equation is displayed and a full discret scheme is formed, a special numerical integration formulation is adopted in the scheme. The matrix is simplified to a diagonalmatrix and the numerical process is reduced. The optimal order error estimates in H^1 is obtained.
出处
《纺织高校基础科学学报》
CAS
2007年第1期51-55,共5页
Basic Sciences Journal of Textile Universities
基金
河南省自然科学资助项目(0111010100)
