stokes equations using high order discontinuous galerkin methods

... Corliss, Solving Ordinary Di erential Equations Using Taylor Series, ACM Trans Math Software, 8(1982), 114{144 2] G Corliss, Validating an A Priori Enclosure Using High- Order Taylor Series, presented ... Remark Variable order We must compute ( u ]) , : : :, ( u ]) ? in order to compute 0 p ( u ]) Hence, it is relatively inexpensive to compute the step size in Task for each order p The order used ... Algorithm I can validate the existence of the unique solution over time steps appropriate for high- order methods employed for tightening during Algorithm II The basic idea of AWA is to enclose the...

Ngày tải lên: 12/01/2014, 22:06

... H., Lanteri, S and Perrussel, R (2008) Solution of the time-harmonic Maxwell equations using discontinuous Galerkin methods, J Comput Appl Math 218(2): 435–445 Dolean, V., Lanteri, S and Perrusel, ... of Visco-Acoustic Waves with Finite-Difference and Finite-Element Discontinuous Galerkin Methods 129 Although the numerical methods presented in this study were originally developed for seismic ... relationship between the wavefields and the source terms is linear in the firstorder and second -order wave equations, equations and can be recast in matrix form: www.intechopen.com 130 Acoustic...

Ngày tải lên: 27/07/2014, 23:25

... 24 4.3 High order methods 27 i ii 4.3.1 The concept of accuracy 27 4.3.2 Explicit 4th order schemes ... this work high- order accurate FDTD schemes are implemented for the solution of Maxwell’ equations in various coordinate systems These schemes have advantages over the currently used second order ... order schemes[27] The high order methods need only a coarser grid This is especially important for three-dimensional numerical simulations and also for long time integrations In order to treat wave...

Ngày tải lên: 17/03/2014, 14:29

... p-multigrid discontinuous Galerkin solution of the Navier -Stokes equations, Int J Numer Meth Fluids (2010) accepted 24 P Tesini An h-multigrid approach for high- order discontinuous Galerkin methods ... Chapter 5: High- Order Discontinuous Galerkin Methods for CFD Jaime Peraire and Per-Olof Persson 119 Chapter 6: Weighted Non-Oscillatory Limiters for Runge-Kutta Discontinuous Galerkin Methods Jianxian ... methods In the present context, adaptive high- order methods refer to numerical methods that are capable of handling unstructured adaptive meshes with accuracy higher than second -order These methods...

Ngày tải lên: 01/04/2014, 10:40

... A p p lic atio n o f u ltrasp h erical P oly n o m ials to forccd o sc illatio n s o f a third order no n-linear system J S o u n d an d V ibration 1974, vol 36, N4 367 [3] O sinski z , N guyen...

Ngày tải lên: 08/04/2015, 15:36

... and discontinuous Galerkin methods Continuous Galerkin (CG) methods are unstable for Stokes flows in the use of equal -order polynomials for the basis of the velocity and pressure In contrast, discontinuous ... differential equations in (2.1) into the first -order partial differential equations in (2.5) This approach was proposed by Cockburn et al [11] for solving Stokes equations using local discontinuous Galerkin ... hybridizable discontinuous Galerkin (HDG) method proposed by Nguyen et al [27] for solving partial differential equations with smooth-solutions We shall consider Poisson equations, Stokes equations, ...

Ngày tải lên: 10/09/2015, 15:51

... copy number variation using high- throughput sequencing 193 Summary Copy Number Variation (CNV) is an important class of genetic variation, which has been traditionally studied using microarray-based ... hydrolysis Significantly higher copy number of AMY1 gene was found in populations with high- starch diets than those with traditional low-starch diets (Perry et al., 2007) The high copy number of AMY1 ... 57 Validation of CNV-seq using Simulated Data 59 3.1 Introduction 59 3.2 Materials and Methods 60 3.2.1 Implementation...

Ngày tải lên: 11/09/2015, 10:01

... about 4% higher Alternative leads to slightly higher objective function values than Alternative 1, but at significantly lower computational costs For Case 1, the value of OF is only 0.1% higher ... CP-24 problems, the present results obtained using Powell’s method and the genetic algorithm together with the results obtained by Vieira et al [16, 19] using the flexible polyhedron method by Nelder ... and Exergoeconomic Improvement of Thermal Systems Modeled in a Process Simulator Using Direct Search and Stochastic Methods M.Sc Dissertation (in Portuguese), UFRJ/COPPE/PEM: Rio de Janeiro, Brazil,...

Ngày tải lên: 05/09/2013, 16:30

... exibility lead to complex distributions over high- dimensional spaces Related problems in other elds have been tackled using Monte Carlo methods based on sampling using Markov chains, providing a rich ... intelligence, exible methods for formulating models are needed Techniques that have been found useful include the specication of dependencies using \belief networks", approximation of functions using \neural ... (2:1991), and Buntine (2:1992) have done interesting work using methods other than Monte Carlo I have applied Markov chain Monte Carlo methods to some of the same problems (Neal, 2:1992a, 2:1992c,...

Ngày tải lên: 16/01/2014, 16:33

... investigated A lower flow rate usually gives a higher retention level of the stationary phase, improves the peak resolution and also requires a longer separation time Using a lower revolution speed reduces ... solvent system at low temperature to separate those unstable volatile components An HPCPC method using a nonaqueous two-phase solvent system was successfully developed for the separation of six ... except curcumol (2) were the major components in the essential oil of C wenyujin 1659 Materials and methods 2.1 Apparatus The separation was performed on an SIC CPC240 HPCPC (Ever Seiko Corporation,...

Ngày tải lên: 07/03/2014, 21:20

... ERGODICITY OF THE 2D NAVIER -STOKES EQUATIONS 1007 Applications to the stochastic 2D Navier -Stokes equations To state the general ergodic result for the two-dimensional Navier -Stokes equations, we begin ... Introduction In this article, we investigate the ergodic properties of the 2D NavierStokes equations Recall that the Navier -Stokes equations describe the time evolution of an incompressible fluid and are ... Ergodicity of the 2D Navier -Stokes equations with degenerate stochastic forcing By Martin Hairer and Jonathan C Mattingly Abstract The stochastic 2D Navier -Stokes equations on the torus driven...

Ngày tải lên: 29/03/2014, 07:20

... square apertures in terms of high transmission and field localization The bowtie aperture is designed for high transmission and field localization at 355 nm laser wavelength using finite difference ... the same order of the threshold value measured independently using a lithography stepper, mJ/cm2 This indicates that the bowtie apertures indeed provide a transmission efficiency of the order of ... precisely control the exposure dose in order to obtain nanoscale holes (Note these are not through holes, but dimples.) The exposure time is controlled using an electric shutter with millisecond...

Ngày tải lên: 06/05/2014, 08:57

... a peak field intensity as high as 39.8 times higher than the incident light at 800 nm normal illumination Experimental The bowtie aperture probe shown in Fig is made using the following procedures ... aperture at high scan speed was a result of using a dose very near the threshold The 100 nm probe did not produce any lines 883 The depths of the features produced by the probes were of the order of ... SEM image of a bowtie aperture on AFM probe with inset of idealized geometry Nanolithography using high transmission nanoscale ridge aperture probe aperture with a 180 × 180 nm outline dimension...

Ngày tải lên: 06/05/2014, 08:57

... nonuniformly elliptic equations The Euler equations for many variational problems are quasilinear, degenerate or nonuniformly elliptic equations With regard to the character of the methods applied, ... uniformly elliptic equations Moreover, this affords the possibility of using the estimate to study 12 PART I: EQUATIONS OF NONDIVER(ENCE TYPE quasilinear degenerate elliptic equations We remark ... nonuniformly elliptic and parabolic equations of second order, and also to the investigation of differential and certain qualitative properties of solutions of such equations A theory of generalized...

Ngày tải lên: 31/05/2014, 01:37

... only evaluate the performance of different methods to extract SSVEP Methods: This research proposed a high- frequency SSVEP-based asynchronous BCI in order to control the navigation of a mobile ... and 45 Hz, in [13] In [9] and [11-13] off-line analysis of the EEG were performed using methods with medium to high © 2011 Diez et al; licensee BioMed Central Ltd This is an Open Access article ... Ongoing EEG classification of SSVEP (no high- frequency) based-BCI is implemented in [6,7] using a refractory time (when no decisions are allowed), in order to control grasping with a robotic...

Ngày tải lên: 19/06/2014, 08:20

... literature concerning discontinuous Galerkin methods can be found in [13] In this paper, we analyze a fully discrete finite element method with the stabilized mixed discontinuous Galerkin methods for the ... the method was extend within the discontinuous Galerkin framework A family of mixed finite element discretizations of the Darcy flow equations using totally discontinuous elements was introduced ... Masud, A: Mixed discontinuous Galerkin methods for Darcy flow J Sci Comput 22, 119–145 (2005) doi:10.1007/s10915-004-4150-8 Sun, S, Wheeler, MF: Discontinuous Galerkin methods for coupled flow and...

Ngày tải lên: 20/06/2014, 22:20

... the Navier- Stokes equations of compressible flow SIMA J Appl Math 51, 887–898 (1991) doi:10.1137/0151043 Fang, D, Zhang, T: Discontinuous solutions of the compressible Navier -Stokes equations ... and regularity for one-dimensional compressible Navier -Stokes equations (Preprint) Yang, T, Yao, Z, Zhu, C: Compressible Navier -Stokes equations with degenerate viscosity coefficient and vacuum ... compressible Navier -Stokes equations with densitydependent viscosity J Differ Equ 184, 163–184 (2002) doi:10.1006/jdeq.2001.4140 11 Yang, T, Zhu, C: Compressible Navier -Stokes equations with degenerate...

Ngày tải lên: 20/06/2014, 22:20

... nonlinear integrodifferential equations of fractional order by applying some fixed point theorems On the other hand, impulsive differential equations of fractional order play an important role in ... that a nonlocal boundary value problem of impulsive differential equations of fractional order is considered Advances in Difference Equations In addition, the nonlinear term f t, u t , u t involves ... Differential Equations, no 3, p 11, 2008 S Zhang, “Positive solutions for boundary-value problems of nonlinear fractional differential equations, ” Electronic Journal of Differential Equations, no...

Ngày tải lên: 21/06/2014, 07:20

... network-based approach against well-known and established high resolution TF methods including some popular distributions known for their high CTs suppression and energy concentration in the TF ... method (TSE) [6], and the neural network-based method (NTFD) [7, 8] The methods are rigorously compared to each other using several objective measures discussed in literature complementing the ... 400 (e) Figure 1: TFDs of the multicomponent bat echolocation chirp signal by various high resolution t-f methods 350 EURASIP Journal on Advances in Signal Processing Test spectrogram TED for...

Ngày tải lên: 21/06/2014, 08:20

... Convergence Analysis of High- Order DAC Algorithm 3.1 Average Consensus Property of High- Order DAC Algorithm Before we investigate the convergence property of the high- order DAC algorithm, we ... 0.75 0.8 MD: first -order DAC algorithms MH: first -order DAC algorithms BC: first -order DAC algorithms BC: second -order DAC algorithms BC: third -order DAC algorithms BC: fourth -order DAC algorithms ... 0.5 Threshold η 0.6 0.7 0.8 MD: first -order DAC algorithms MH: first -order DAC algorithms BC: first -order DAC algorithms BC: second -order DAC algorithms BC: third -order DAC algorithms Figure 2: Convergence...

Ngày tải lên: 21/06/2014, 16:20