Finite element approximation of viscoelastic fluid flow: Existence of approximate solutions and error bounds
Finite element approximation of viscoelastic fluid flow: Existence of approximate solutions and error bounds
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DOI：
10.1007/bf01385845
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发表时间：
1992-12
影响因子：
2.1
通讯作者：
J. Baranger;D. Sandri
中科院分区：
文献类型：
--
作者：
J. Baranger;D. Sandri
我们研究了遵守 Oldroyd B 型本构定律的粘弹性流体流动的有限元近似。近似应力、速度和压力分别为P1不连续、P2连续、P1连续。我们使用 Lesaint-Raviart 方法来计算额外应力张量的对流。我们假设连续问题有一个足够平滑且足够小的解。我们通过不动点方法证明近似问题有解，并给出误差范围。
We study a finite element approximation of viscoelastic fluid flow obeying an Oldroyd B type constitutive law. The approximate stress, velocity and pressure are respectivelyP1discontinuous,P2continuous,P1continuous. We use the method of Lesaint-Raviart for the convection of the extra stress tensor. We suppose that the continuous problem admits a sufficiently smooth and sufficiently small solution. We show by a fixed point method that the approximate problem has a solution and we give an error bound.