CAJ | 학술논문

对于非线性粘弹性流体,本文提出了一种有限元两重网格方法.该方法需要首先在粗网格上求解非线性问题,然后在细网格上求解两个线性问题.这两个线性问题具有相同的刚度矩阵,只是右端项不同.我们进一步给出了该方法的误差估计.数值算例验证了理论结论,并且验证了方法的有效性.
대우비선성점탄성류체,본문제출료일충유한원량중망격방법.해방법수요수선재조망격상구해비선성문제,연후재세망격상구해량개선성문제.저량개선성문제구유상동적강도구진,지시우단항불동.아문진일보급출료해방법적오차고계.수치산례험증료이론결론,병차험증료방법적유효성.
We propose a two-grid method for resolving the nonlinearity in finite element approximation of viscoelastic fluid flow.The two-grid method involves solving one small,nonlinear system on the coarse mesh and two linear problems on the fine mesh.These two linear problems have the same stiffness matrix with only different right-hand sides. An error bound for the method is also derived.Numerical examples support the theoretical results and demonstrate the effectiveness of the proposed method.