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A global formulation of the planning problem.
We also give a global formulation of the test planning problem.
A new implementation of the BDDC method is presented based on a global formulation without an explicit coarse problem, with massive parallelism provided by a multifrontal solver.
Since the decomposition of the planning problem into a covering problem and a sequencing problem does not always yield an optimal solution, we also present a global formulation of the planning problem.
Together with inter-scale model formulations, a zoom-in/zoom-out process is carried out between the scales, by trial-and-error and through reasoning, to arrive at a global formulation of a quantitative solution, in order to derive, eventually, the general from the particular.
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The solution is based on harmonic representation of the loads and the displacements in the circumferential direction, and a Galerkin-type global formulation for the axial direction.
The local formulation adapts the model parameter locally and automatically damps the wrinkling factor in the vicinity of walls, contrary to the global formulation requiring a wall law.
While the solution time of the second simplification procedure is a small percentage of the global formulation, it generates satisfactory solutions.
The global formulation predicts a time-dependent model exponent that remains close to 0.5 for the stable flame and oscillates strongly around 0.8 for the pulsating flame.
This temporally global formulation is transformed into a local description by introducing internal variables.
The schemes are based on a global weak formulation involving only terms defined on the whole fluid-solid domain.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com