Coupled Problems and Their Numerical Solution

  • O. C. Zienkiewicz
  • A. H. C. Chan
Part of the International Centre for Mechanical Sciences book series (CISM, volume 300)


As discussed in a previous publication [1] coupled problems in numerical analysis context can be divided into two main categories:
  1. I)

    Those, where essentially different physics exist and in which the problem domain overlap completely or partially

  2. II)

    and those where coupling occurs only via an interface. Here the seperate domains may only differ either physically or only in the numerical technique used in each of them.

Some characteristics of the finite element discretization and steady state and transient solution technique are discussed and typical problems are illustrated. Special emphasis is given to some recent developments in transient dynamic problems including
  1. 1)

    Symmetrical direct solution techniques.

  2. 2)

    Simple Staggered solutions with unconditional stability.

  3. 3)

    Domain partition for single phase domain with Implicit—Implicit Staggered or Explict—Implicit Staggered Solution.


Stability analysis are also presented for the various solution techniques.


Pore Pressure Excess Pore Pressure Couple Problem Stagger Scheme Soil Skeleton 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Wien 1989

Authors and Affiliations

  • O. C. Zienkiewicz
    • 1
  • A. H. C. Chan
    • 1
  1. 1.University College of SwanseaSwanseaUK

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