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Showing 1 to 3 of 3 for “"Low-order methods"”.
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Computing minimum-volume enclosing ellipsoids
… problems, the current state of the art favors low-order methods such as coordinate ascent, despite their often exceedingly slow (linear or sublinear) convergence rates, because of their low cost per iteration. In this work we demonstrate that by carefully exploiting problem structure, …
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Discontinuous Galerkin solutions of the Boltzmann equation: spectral collocation and moment methods
… the Boltzmann equation. Constructing numerical methods for this equation is a challenge, due in part to the kinetic theory description of moving particles, which relies on space, time, and velocity variables. Two novel approaches are presented and compared. The first uses a spectral collocation …
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Low-order finite element preconditioner for spectral element pressure solver in Navier-Stokes equations
High-order spectral element methods (SEM) while very accurate for computational fluid dynamics (CFD) simulations can be prohibitively expensive for meshes with difficult geometries. Controlling the number of iterations in the pressure solver can significantly reduce the computing time of CFD …