A mixed finite‐element, finite‐volume, semi‐implicit discretization for atmospheric dynamics: Cartesian geometry
نویسندگان
چکیده
منابع مشابه
Fourier Analysis of Stabilised Q 1 { Q 1 Mixed FiniteElement
We use Fourier analysis to investigate the instability of an equal-order mixed nite element approximation method for elliptic incompressible ow equations. The lack of stability can be attributed to the fact that the associated discrete LBB (Ladyzhenskaya-Babu ska-Brezzi) constant tends to zero as the mesh size is reduced. We develop a stabilisation approach that is appropriate to the periodic s...
متن کاملDiscretization orders for distance geometry problems
Given a weighted, undirected simple graph G = (V,E, d) (where d : E → R+), the Distance Geometry Problem (DGP) is to determine an embedding x : V → R K such that ∀{i, j} ∈ E ‖xi − xj‖ = dij . Although, in general, the DGP is solved using continuous methods, under certain conditions the search is reduced to a discrete set of points. We give one such condition as a particular order on V . We form...
متن کاملA New Foveal Cartesian Geometry Approach used for Object Tracking
Foveal vision has been used as a way for sampling and reducing the amount of data in Cartesian images for vision systems. For this sampling, there are different approaches as the Log Polar Transform, the Exponential Cartesian Geometry and the Foveal Wavelet Transform between others. In this paper a new approach to obtain the foveal sampling and its application to single object tracking is prese...
متن کاملDiscretization Orders and Distance Geometry
The Distance Geometry Problem (DGP) asks whether a simple weighted undirected graph G = (V,E, d) can be embedded in aK-dimensional space [6]. In the applications,K is generally known a priori : one of the most interesting DGP applications is in biology and concerns molecular conformations, where K = 3. In such a case, G is defined so that vertices v ∈ V represent atoms of a molecule, and some p...
متن کاملVARIATIONAL DISCRETIZATION AND MIXED METHODS FOR SEMILINEAR PARABOLIC OPTIMAL CONTROL PROBLEMS WITH INTEGRAL CONSTRAINT
The aim of this work is to investigate the variational discretization and mixed finite element methods for optimal control problem governed by semi linear parabolic equations with integral constraint. The state and co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control is not discreted. Optimal error estimates in L2 are established for the state...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quarterly Journal of the Royal Meteorological Society
سال: 2019
ISSN: 0035-9009,1477-870X
DOI: 10.1002/qj.3501