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The coupling across fully matching interfaces can be extended to three-dimensional problems in a straightforward manner.
We describe the IETI framework for two classes of simple model problems (Poisson and linearized elasticity) and discuss the coupling of the subdomains along interfaces (both for matching interfaces and for interfaces with T-joints, i.e. hanging nodes).
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Our interleaver architecture has been designed to also take care of these additional operations and thereby provides a perfectly matching interface with other channel decoding functions.
if λ k corresponds to a fully matching interface.
Its entries are defined as follows: D A (i ) kk = 1 / mult (k ), if λ k corresponds to a fully matching interface.
If Γ (i, j ) is a fully matching interface, we follow the definition of C in (15), i.e., (i, j ) ∈ C, if i < j, (j, i ) ∈ C, otherwise.
These four models belong to the condition matched interface.
Additionally, the matched interface and boundary (MIB) method is reformulated for solving the PNP equations.
This work introduces the matched interface and boundary (MIB) method for solving 3D elasticity interface problems.
In this work, the matched interface and boundary (MIB) method is developed to address elasticity interface problems.
The matched interface and boundary (MIB) method has a proven ability for delivering the second order accuracy in handling elliptic interface problems with arbitrarily complex interface geometries.
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