cartesian grids
A priori error estimates for numerical methods for scalar conservation laws. Part III: multidimensional flux-splitting Monotone schemes on non-Cartesian grids
... uniform Cartesian grids, and in [27], for monotone schemes in non-uniform Cartesian grids, it was proven that the total variation of the approximate solution does not increase in ...
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Numerical study of stream-function formulation governing flows in multiply-connected domains by integrated RBFs and Cartesian grids
... This study is concerned with the simulation of unsymmetrical flows of a Newto- nian fluid in multiply-connected domains using the stream-function formulation, Cartesian grids and 1D-IRBFNs. Unlike the ...
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A C2-continuous control-volume technique based on cartesian grids and two-node integrated-RBF elements for second-order elliptic problems
... represent highest order derivatives and such RBF-based approximants are then in- tegrated to yield expressions for lower-order derivatives and eventually the function itself. This approach is less sensitive to noise than ...
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Discrete Besov framework for finite volume approximation of the p-laplacian on non-uniform cartesian grids
... Abstract. This work addresses the problem of a priori error analysis for the finite volume approxi- mation of solutions of the p-laplacian on cartesian grids. We first recall the way we constructed such ...
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A priori error estimates for numerical methods for scalar conservation laws - Part III: Multidimensional flux-splitting monotone schemes on non-Cartesian grids
... uniform grids; in contrast with previous work, [4], [5], [18], [19], [20], [21], [23], [24], [25], [27], [29], [31], (see also [28]), no regularity properties of the approximate solution were explicitly ...
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A numerical scheme based on local integrated RBFNs and Cartesian grids for solving second-order elliptic problems in two dimensions
... Uniform Cartesian grids are employed to represent the problem domain. In the case of rectangular domain, condition numbers of the system matrix by the present local collocation and CV techniques are ...
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A numerical study of 2D integrated RBFNs incorporating Cartesian grids for solving 2D elliptic differential problems
... This problem has the same exact solution as the previous one, except that the centre of the domain is shifted from (1/2,1/2) to (0,0). The problem domain is embedded in a uniform Cartesian grid and the exterior ...
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A priori error estimates for numerical methods for scalar conservation laws. Part II: flux-splitting Monotone schemes on irregular Cartesian grids
... Supraconvergence of numerical schemes has been analyzed in a variety of cases. For example, Manteuel and White [17] studied supraconvergence for linear, second- order boundary value problems, Kreiss et al. [11] for ...
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A priori error estimates for numerical methods for scalar conservation laws. Part II, Flux-splitting monotone schemes on irregular Cartesian grids
... To explain the supraconvergence of the numerical schemes under consideration (which was proven by Sanders [22]) we allow ourselves to use the total variation boundedness of the approximate solution but only to estimate ...
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Guiding center simulations on curvilinear grids*
... We will use here the classical backward semi-Lagrangian method (BSL) with cubic splines [34] and one originality of the work is the use of a B-spline finite element solver for the Poisson solver [4]. Getting expertise on ...
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Higher-Order Cartesian Grid Based Finite Difference Methods for Elliptic Equations on Irregular Domains and Interface Problems and their Applications
... This thesis describes higher-order finite difference methods for solving elliptic equations on irregular domains with general boundary conditions and the correspond- ing elliptic interface problems. We develop second and ...
163
Level set driven smooth curve approximation from unorganized or noisy point set
... Volumetric approaches aim in general at defining a discrete signed distance function to the points of the data set. Then, a piecewise affine discretization of the zero level set is constructed using efficient and ...
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A new integrated-RBF-based domain-embedding scheme for solving fluid-flow problems
... In this study, we report a numerical collocation technique incorporating 1D-IRBFNs on grid lines for the simulation of heat transfers and fluid flows in multiply-connected domains. The technique combines strengths of the ...
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Methods of evaluation of the positioning capability of Cartesian and non Cartesian machines
... University of Huddersfield Repository Longstaff, Andrew P Methods of evaluation of the positioning capability of Cartesian and nonCartesian machines Original Citation Longstaff, Andrew P (2002) Metho[.] ...
268
Descartes’ Dream: Cartesian Products
... ( )( ) = ( ), for each ∈ Λ. (2.4) In the following examples we shall give four different constructions of the complex number field. The first two uses the Cartesian product while the fourth one is of algebraic ...
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Curvature of the Ellipsoid with Cartesian Coordinates
... coordinates conversion on a triaxial ellipsoid were expressed on in [9, 15, 3]. For detailed information on this subject please refer to [3]. The following link can be used for the conversion of Cartesian ...
6
GA based adaptive singularity robust path planning of space robot for on orbit detection
... The singularity analysis and avoidance of free-floating space robots are much more complicated. The kinematics and dynamics of a free-floating space robot are coupled, and the GJM contains not only the kinematic ...
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What Is Un-Cartesian Linguistics?
... Since the Un-Cartesian research program seeks to make plausible that grammar yields—rather than (optimally) ‘expresses’—a form of meaning that would not exist without it, there is no ‘interface’ between language ...
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Application Of Chromaticity For Cartesian Products
... of Cartesian Products and Permutation ...of Cartesian Product G and H is the maximum of chromatic number Of G and Chromatic number of H and for every graph G and every Permutation Graph of G, the Chromatic ...
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Contextualist solutions to Cartesian scepticism
... call Cartesian scepticism, according to which nobody knows anything about the external ...how Cartesian scepticism can be obtained via the exploitation o f undetectable cognitively disabling states such as ...
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