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427
Envelope ADIFDTD method and its application in threedimensional nonuniform meshes
 IEEE Microw. Wireless Comp. Lett
, 2007
"... Abstract—The envelope alternatingdirectionimplicit finite difference time domain (ADI–FDTD) method in 3D nonuniform meshes was proposed and studied. The phase velocity error for the envelope ADI–FDTD and ADI–FDTD methods in uniform and nonuniform meshes and different temporal increments were stud ..."
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Cited by 1 (0 self)
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Abstract—The envelope alternatingdirectionimplicit finite difference time domain (ADI–FDTD) method in 3D nonuniform meshes was proposed and studied. The phase velocity error for the envelope ADI–FDTD and ADI–FDTD methods in uniform and nonuniform meshes and different temporal increments were
Implicit Discretization And Nonuniform Mesh Refinement Approaches For FD Discretizations Of LBGK Models
 International Journal of Modern Physics C
, 1998
"... This paper was presented at the 7th Int. Conf. on the Discrete Simulation of Fluids held at the University of Oxford, 1418 July 1998. 1143 February 26, 1999 10:54 WSPC/141IJMPC 0072 1144 J. Tolke et al. number limit is described by the incompressible NavierStokes equations. In contrast to stan ..."
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Cited by 9 (1 self)
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This paper was presented at the 7th Int. Conf. on the Discrete Simulation of Fluids held at the University of Oxford, 1418 July 1998. 1143 February 26, 1999 10:54 WSPC/141IJMPC 0072 1144 J. Tolke et al. number limit is described by the incompressible NavierStokes equations. In contrast to standard discretization procedures for the NavierStokes equations, no Poisson equation for the pressure needs to be solved, as the pressure is implicitly coupled to the particle distributions via a simple equation of state. After discretizing the Boltzmann equation in phase space the evolution equations for the particle distributions read
An Alternating Direction Scheme on a Nonuniform Mesh for ReactionDiffusion Parabolic Problems
, 2000
"... this paper we develop a numerical method for twodimensional timedependent reactiondiffusion problems. This method, which can immediately be generalized to higher dimensions, is shown to be uniformly convergent with respect to the diffusion parameter. ..."
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Cited by 6 (3 self)
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this paper we develop a numerical method for twodimensional timedependent reactiondiffusion problems. This method, which can immediately be generalized to higher dimensions, is shown to be uniformly convergent with respect to the diffusion parameter.
Reconstruction and Representation of 3D Objects with Radial Basis Functions
 Computer Graphics (SIGGRAPH ’01 Conf. Proc.), pages 67–76. ACM SIGGRAPH
, 2001
"... We use polyharmonic Radial Basis Functions (RBFs) to reconstruct smooth, manifold surfaces from pointcloud data and to repair incomplete meshes. An object's surface is defined implicitly as the zero set of an RBF fitted to the given surface data. Fast methods for fitting and evaluating RBFs al ..."
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Cited by 505 (1 self)
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We use polyharmonic Radial Basis Functions (RBFs) to reconstruct smooth, manifold surfaces from pointcloud data and to repair incomplete meshes. An object's surface is defined implicitly as the zero set of an RBF fitted to the given surface data. Fast methods for fitting and evaluating RBFs
JOURNAL OF COMPUTATIONAL PHYSICS 129, 357–363 (1996) ARTICLE NO. 0255 Some Progress in Lattice Boltzmann Method. Part I. Nonuniform Mesh Grids
, 1996
"... number of discrete velocities allowed is consistent with the A new lattice Boltzmann algorithm is proposed to simulate the simple lattice structures of LGA models. In other words, Navier–Stokes equation on arbitrary nonuniform mesh grids. The the discretization of physical space is coupled with the ..."
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number of discrete velocities allowed is consistent with the A new lattice Boltzmann algorithm is proposed to simulate the simple lattice structures of LGA models. In other words, Navier–Stokes equation on arbitrary nonuniform mesh grids. The the discretization of physical space is coupled
Pqamon Press L&d. SPURIOUS REFLECTION OF ELASTIC WAVES IN NONUNIFORM MESHES OF CONSTANT AND LINEAR STRAIN FINITE ELEMENTS
, 1981
"... AbstractA change in finite element size causes spurious reflection of elastic waves passing through a finite element grid when the wavelength is less than about IOtimes the largest element in the grid. Extending the previously published study in which the phenomenon was analyzed for the case of co ..."
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AbstractA change in finite element size causes spurious reflection of elastic waves passing through a finite element grid when the wavelength is less than about IOtimes the largest element in the grid. Extending the previously published study in which the phenomenon was analyzed for the case of constant strain finite elements, the higherorder lements with linear strain distribution are studied herein. Similarly to the previous tudy, it is found that the consistent mass matrix gives less spurious wave reflection than the lumped mass matrix; however the advantage is smaller for the higherorder elements. For the lumped mass matrix, there is little difference in spurious wave reflection between the constant strain and linear strain elements. The phenomenon f spurious wave reflection is less pronounced when the higherorder lements are used in conjunction with the consistent mass matrix. These results are obtained from exact analytical solutions in complex variables for a planar wave with a planar wave front propagating along grid lines through an infinite grid which is uniform in each alf plane.
Multiresolution signal processing for meshes
"... We generalize basic signal processing tools such as downsampling, upsampling, and filters to irregular connectivity triangle meshes. This is accomplished through the design of a nonuniform relaxation procedure whose weights depend on the geometry and we show its superiority over existing schemes wh ..."
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Cited by 245 (11 self)
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We generalize basic signal processing tools such as downsampling, upsampling, and filters to irregular connectivity triangle meshes. This is accomplished through the design of a nonuniform relaxation procedure whose weights depend on the geometry and we show its superiority over existing schemes
The Turn Model for Adaptive Routing
 JOURNAL OF ACM
, 1994
"... This paper presents a model for designing wormhole routing algorithms, A unique feature of the model is th~t lt is not based cm adding physical or virtual channels to direct networks (although it can be applied to networks with extra channels). Instead, the model is based [In analyzlng the directio ..."
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Cited by 361 (6 self)
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dimensional meshes, ndimensional meshes kmy ~tcubes, and hypercubes. Simulations of adaptive and nonadaptive routing algorithms show which algorlthm has the lowest latcncies and highest sustainable throughput depends on the pattern of message traffic. For nonuniform traffic, adaptive routing algorithms generally
Parallel Algorithms For Adaptive Mesh Refinement
 SIAM JOURNAL ON SCIENTIFIC COMPUTING
, 1997
"... Computational methods based on the use of adaptively constructed nonuniform meshes reduce the amount of computation and storage necessary to perform many scientific calculations. The adaptive construction of such nonuniform meshes is an important part of these methods. In this paper, we present a p ..."
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Cited by 28 (6 self)
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Computational methods based on the use of adaptively constructed nonuniform meshes reduce the amount of computation and storage necessary to perform many scientific calculations. The adaptive construction of such nonuniform meshes is an important part of these methods. In this paper, we present a
Moving Mesh Methods For Problems With BlowUp
 SIAM J. Sci. Comput
, 1996
"... . In this paper we consider the numerical solution of PDEs with blowup for which scaling invariance plays a natural role in describing the underlying solution structures. It is a challenging numerical problem to capture the qualitative behaviour in the blowup region, and the use of nonuniform mesh ..."
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Cited by 77 (28 self)
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. In this paper we consider the numerical solution of PDEs with blowup for which scaling invariance plays a natural role in describing the underlying solution structures. It is a challenging numerical problem to capture the qualitative behaviour in the blowup region, and the use of nonuniform
Results 1  10
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427