Numerische Mathematik

, Volume 77, Issue 3, pp 347–363

The artificial boundary conditions for incompressible materials on an unbounded domain

Authors

  • H. Han
    • Department of Applied Mathematics, Tsinghua University, Beijing, 100084, People's Republic of China
  • W. Bao
    • Department of Applied Mathematics, Tsinghua University, Beijing, 100084, People's Republic of China

DOI: 10.1007/s002110050290

Cite this article as:
Han, H. & Bao, W. Numer. Math. (1997) 77: 347. doi:10.1007/s002110050290

Summary.

In this paper we consider the numerical simulations of the incompressible materials on an unbounded domain in \({\frak R}^2\). A series of artificial boundary conditions at a circular artificial boundary for solving incompressible materials on an unbounded domain is given. Then the original problem is reduced to a problem on a bounded domain, which be solved numerically by a mixed finite element method. The numerical example shows that our artificial boundary conditions are very effective.

Mathematics Subject Classification (1991):65N30
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© Springer-Verlag Berlin Heidelberg 1997