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We extend Bézier projection, an efficient quadrature-free local projection technique, to the hierarchical setting.
Three terms are included in the protocol: local averaging, local projection, and local subgradient with a diminishing but persistent gain.
The underlying design philosophy is similar to that behind local projection stabilization (LPS) techniques and variational multiscale (VMS) methods.
In the Rusanov case, two designs are considered, a nodal based diffusion operator and a local projection stabilization operator.
We introduce Bézier projection as an element-based local projection methodology for B-splines, NURBS, and T-splines.
To achieve high resolution, limited antidiffusion is added back to the semi-discrete form where the limiter is constructed from a linearity preserving local projection stabilization operator.
Similar(37)
And when it comes to sea level rise, local projections are crucial for planning efforts.
The same model was used to forecast water demand at the 2050 horizon under water use scenarios based on local projections, trends observed in the past, and climate scenarios.
In order to evaluate the long-term hydrological impact of climate change in an alley cropping system in eastern Canada, we developed a framework that combines local soil moisture data with local projections of climate change and a model of soil water movement, root uptake and evapotranspiration.
An impact study with simulations based on local projections of three global and one regional climate simulation suggest that the soil becomes drier overall in the period between 2041 and 2070, while the number of critically wet periods with a length of one day increases slightly with respect to the reference period between 1967 and 1996.
The idea behind the local projections is to compute impulse responses without estimating an underlying multivariate dynamic system.
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