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Adaptive grid movement and local mesh refinement are demonstrated.

Constraints such as the one irregularity rule during mesh refinement are systematically incorporated in this formulation.

The solutions obtained with and without adaptive mesh refinement are compared in terms of solution improvement and computational cost.

A series of results computed under mesh refinement are compared with a vortex-element solution in which the vortex sheet is tracked as a non-diffusing discontinuity.

Time stepping and mesh refinement are interleaved to avoid extensive buffer layers of fine mesh which were otherwise required ahead of moving shocks.

In this context the influence of counter-charges in the Poisson equation, the requirement of a finite domain size, numerical quadratures and the mesh refinement are examined as well as the representation of the electrostatic potential in a high order finite element space.

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Similar(53)

Adaptive mesh refinement is used to obtain a high level of uniform refining at the domain of dependence of the interface.

Based on the results of the most refined meshes, it can be concluded that a suitable mesh refinement was reached and that element type have no significant effect on the simulation.

The resulting mesh refinement is shown on Fig. 5.

Automatic mesh refinement is implemented with an advancing front technique.

Mesh refinement was not needed for the propagation of cracks.

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