Abstract
We have discussed in this section a method for solving partial differential problems on a domain, founded on a subdomains decomposition. The methods obtained from that decomposition are quite efficient and have good parallelization properties. In our opinion their true domains of application are indeed:
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- solving problems involving several mathematical modellings according to the region under consideration (a typical example in that direction is the matching of viscous flows and inviscid flows).
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- The coupling of different types of approximations (finite elements or finite differences, spectral-finite differences, etc...).
Further numerical experiments will give a deeper insight about the feasibility of these methods for solving large and complicated applied problems modelled by partial differential equations.
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Dinh, Q.V., Mantel, B., Periaux, J., Glowinski, R. (1983). Approximate solution of the navier-stokes equations for incompressible viscous fluids, related domain decomposition methods. In: Numerical Methods. Lecture Notes in Mathematics, vol 1005. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0112525
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DOI: https://doi.org/10.1007/BFb0112525
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