## Journals

- Advances in Mathematics of Communications
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### Open Access Journals

DCDS-B

We present some new a priori estimates of the solutions to three-dimensional
elliptic interface problems and static Maxwell interface system with variable
coefficients. Different from the classical a priori estimates, the physical
coefficients of the interface problems appear in these new estimates
explicitly.

DCDS-B

The semi and fully discrete finite element methods are
proposed for investigating vibration analysis of elastic plate-plate structures.
In the space directions, the longitudinal displacements on plates are
discretized by conforming linear elements, and the corresponding transverse
displacements are discretized by the Morley element, leading to a semi-discrete finite
element method for the problem under consideration. Applying the second order central
difference to discretize the time derivative, a fully discrete scheme is obtained,
and two approaches for choosing the initial functions are also introduced.
The error analysis in the energy norm for the semi and fully discrete methods
are established, and some numerical examples are included to validate the theoretical analysis.

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