For some problems with multi variables, the solution functions might develop
in very different styles. Here an efficient multi-mesh h-adaptive algorithm
will be proposed to solve different variables on different meshes based on
their own natures respectively. For example, for the interface problems,
some interface functions can be used to provide implicitly the location of
the interface, and their values are almost useless away from this interface.
To fully resolve them, a fine grid is required only in a small region around
the interface. Meanwhile, other physical quantities may extend well beyond
the interface and have much milder variation in their gradients, permitting
a much coarser grid to resolve it. Numerical simulations will be presented
to demonstrate its capacity and efficiency.
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