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high-order Galerkin model

High order discontinuous Galerkin methods on surfaces

High order discontinuous Galerkin methods on surfaces

... [20]. High order error estimates, which require high order surface approximations, have been derived in [15] for the Laplace-Beltrami ...a model for bacteria/cell ...

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Stability-preserving model order reduction for linear stochastic Galerkin systems

Stability-preserving model order reduction for linear stochastic Galerkin systems

... stochastic Galerkin projection of the transformed systems, which we call the inherent errors, decay for increasing di- ...stochastic Galerkin system of the untransformed systems (13), which we call the ...

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A high-order hybridizable discontinuous Galerkin method with fast convergence to steady-state solutions of the gas kinetic equation

A high-order hybridizable discontinuous Galerkin method with fast convergence to steady-state solutions of the gas kinetic equation

... The MFR at different rarefaction parameter δ , obtained from the SIS with k = 3, is illustrated in Fig. 2(a) and compared with those from the DUGKS and the CIS. In the CIS, only the linearized BGK model equation ...

19

Discontinuous galerkin flood model formulation: Luxury or necessity?

Discontinuous galerkin flood model formulation: Luxury or necessity?

... second- order local DG flood model for- mulation (RKDG2) contrasting with the traditional finite volume MUSCL ...each model. To ensure stability around high- gradient parts of the solution, ...

20

A Parallel Implicit Reconstructed Discontinuous Galerkin Method for Compressible Turbulent Flows on 3D Hybrid Grids.

A Parallel Implicit Reconstructed Discontinuous Galerkin Method for Compressible Turbulent Flows on 3D Hybrid Grids.

... In order to solve the turbulence length scales exactly, there are two straightforward methods, ...and high-order numerical methods. In our work, the high-order reconstructed DG is used ...

179

A Parallel Implicit Reconstructed Discontinuous Galerkin Method for Compressible Flows on Hybrid Grids.

A Parallel Implicit Reconstructed Discontinuous Galerkin Method for Compressible Flows on Hybrid Grids.

... the high-order discontinuous Galerkin methods lagged much far ...discontinuous Galerkin method for the compressible Navier-Stokes equations on 2D unstruc- tured grids was developed by Bassi ...

184

Study of Physics-Based preconditioning with High-order Galerkin discretization for hyperbolic wave problems

Study of Physics-Based preconditioning with High-order Galerkin discretization for hyperbolic wave problems

... Outline At the beginning, we gather results on acoustic wave equations (4) in Section 1. Describing the continuous study model and its propagation wave velocities should be the goal of Subsection 1.1, whereas ...

22

Numerical Methods for Compressible Multi-phase flows with Surface Tension

Numerical Methods for Compressible Multi-phase flows with Surface Tension

... of high order path-conservative schemes for non-conservative systems of the type ...Discontinuous Galerkin discretiza- tion ...(CSF) model [20] involving local curvature of the interface ...

146

Comparison of high order algorithms in Aerosol and Aghora for compressible flows

Comparison of high order algorithms in Aerosol and Aghora for compressible flows

... a high order finite element library based on both continuous and discontinuous elements on hybrid meshes involving triangles and quadrangles in two dimensions and tetrahedra, hexahedra and prisms in three ...

16

Semi-implicit schemes for compressible fluids in elastic pipes and a-posteriori sub-cell finite volume limiting techniques for semi-implicit Discontinuous Galerkin schemes for hyperbolic conservation laws on staggered meshes

Semi-implicit schemes for compressible fluids in elastic pipes and a-posteriori sub-cell finite volume limiting techniques for semi-implicit Discontinuous Galerkin schemes for hyperbolic conservation laws on staggered meshes

... first model describes cross-sectionally averaged 1D flows, including steady and frequency- dependent wall friction ...for high order DG ...second order of accuracy in time can be achieved with ...

237

A high-order hybridizable discontinuous galerkin method for gas kinetic equation

A high-order hybridizable discontinuous galerkin method for gas kinetic equation

... The high-order hybridizable discontinuous Galerkin method is used to find the steady-state solution of the linearized Shakhov kinetic model equations on two- dimensional triangular ...first- ...

12

Multiwavelet discontinuous Galerkin h-adaptive shallow water model

Multiwavelet discontinuous Galerkin h-adaptive shallow water model

... the order of accuracy of the RKDG scheme, the number of resolution levels allowed and relatedly the density of the baseline mesh; thus requires future exploration beyond the scope of this ...in order to ...

16

A discontinuous Galerkin method for poroelastic wave propagation: the two-dimensional case

A discontinuous Galerkin method for poroelastic wave propagation: the two-dimensional case

... when the wave is highly dissipative and slow in Biot’s low-frequency regime (corresponding to very low permeabilities), it will be necessary to implement an operator splitting technique or IMEX scheme to deal with the ...

62

Discontinuous Galerkin finite element approximation of nonlinear second order elliptic and hyperbolic systems

Discontinuous Galerkin finite element approximation of nonlinear second order elliptic and hyperbolic systems

... quasi-linear elliptic and hyperbolic systems of partial differential equations, using piecewise polynomials of degree p > d/2 in the elliptic case and of degree p > d/2 + 1 in the (spatially semidiscrete) hyperbolic ...

29

Research of Spread Spectrum Steganography based on High order Markov Model

Research of Spread Spectrum Steganography based on High order Markov Model

... the model to a certain ...the high-order feature and one or several states in the past, and this hypothesis aimed at constructing HOMM which con- tains rare parameters [11] ...

6

Sinc-Galerkin method for approximate solutions of fractional order boundary value problems

Sinc-Galerkin method for approximate solutions of fractional order boundary value problems

... problem is y(x) = x  (x – ). The numerical solutions which are obtained by using the sinc- Galerkin method (SGM) for this problem are presented in Table . In addition to this, in Table , the solutions are ...

14

Automated continuous verification for numerical simulation

Automated continuous verification for numerical simulation

... in order to be useful, the user of a computational model must have confidence that the results of the numeri- cal simulation are an accurate proxy for ...

15

Arbitrary high order discontinuous Galerkin methods for the shallow water and incompressible Navier-Stokes equations on unstructured staggered meshes

Arbitrary high order discontinuous Galerkin methods for the shallow water and incompressible Navier-Stokes equations on unstructured staggered meshes

... In this thesis we present a new family of arbitrary high order semi-implicit space-time DG schemes for the solution of the incompressible Navier-Stokes equations on staggered unstructure[r] ...

222

Discrete Galerkin Method for Higher Even-Order Integro-Differential Equations with Variable Coefficients

Discrete Galerkin Method for Higher Even-Order Integro-Differential Equations with Variable Coefficients

... Spectral Galerkin method is one of the weighted residual methods (WRM), in which approximations are defined in terms of truncated series expansions, such that residual which should be exactly equal to zero, is ...

9

Introducing anisotropic tensor to high order variational model for image restoration

Introducing anisotropic tensor to high order variational model for image restoration

... second order (TWSO) variational model for image inpainting and ...anisotropic high order model which effectively integrates orien- tation ...TWSO model is able to connect large ...

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