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These methods require to solve approximation auxilary equilibrium problems.
It does not require to solve linear systems of equations, and it can be easily implemented in any dimension.
Context: Many engineering problems require to solve PDE on deforming domains to account for the temporal evolution of the domain boundaries.
The presented results require to solve feasibility problems involving Difference/Differential Linear Matrix Inequalities, which can be solved numerically in an efficient way by using off-the-shelf optimization tools, as illustrated by the proposed examples.
The new schemes are based on a weak form of the pressure Poisson equation and, at each time step, only require to solve a set of Helmholtz-type equations for the velocity and a Poisson equation (in the weak form) for the pressure, just as pressure-correction and velocity-correction schemes.
Note that the application of the previously mentioned generic methods on an arbitrary system as the one we consider would also require to solve a linear system or an eigenproblem.
Similar(53)
He added: "We are required to solve the situation positively.
She hires a debt collector named Audley to do the legwork required to solve this mystery.
It refers to the amount of data that is required to solve a particular problem.
He shirked neither the scale of the problem nor the harsh measures required to solve it.
A similar effort is required to solve what he has called a crisis of sexual assault across the military.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com