An Asymptotic Approach to Compare Coupling Mechanisms for Different Partial Differential Equations
نویسندگان
چکیده
In many applications the viscous terms become only important in parts of the computational domain. A typical example is the flow of air around the wing of an airplane. It can then be desirable to use an expensive viscous model only where the viscosity is essential for the solution and an inviscid one elsewhere. This leads to the interesting problem of coupling partial differential equations of different types. The purpose of this paper is to explain several coupling strategies developed over the last decades, and to introduce a systematic way to compare them. We will use the following simple model problem to do so:
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