Petrov-Galerkin
Numerical Solution of Tenth Order Boundary Value Problems by Petrov Galerkin Method with Quintic B splines as Basis Functions and Sextic B Splines as Weight Functions
... B-spline Galerkin method to solve a general tenth order boundary value problem ...a Petrov Galerkin method with quintic B-splines as basis functions and septic B-splines as weight functions to solve ...
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Multiscale Petrov Galerkin method for high frequency heterogeneous Helmholtz equations
... multiscale Petrov-Galerkin method for the Helmholtz equation with large wave numbers k and possibly heterogeneous material coefficients as a generalization of [6, ...
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Numerical solution of sixth order boundary value problems by Petrov Galerkin method with quartic b splines as basis functions and sextic b splines as weight functions
... involves Petrov-Gelerkin approach with quartic B-splines as basis functions and sextic B- splines as weight functions to solve a general sixth order boundary value problem of the type ...using ...
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Numerical solution of sixth order boundary value problems by Petrov Galerkin method with quartic B Splines as basis functions and quintic B Splines as weight functions
... involving Petrov-Galerkin method with quartic B-splines as basic functions and quintic B-splines as weight functions has been developed to solve a general sixth order boundary value problem with a ...
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A Study of the Elastodynamic Problem by Meshless Local Petrov Galerkin Method Using the Laplace Transform
... DOI: 10.4236/wjm.2018.82004 47 World Journal of Mechanics become very attractive, as a promising method for solving problems. This me- thod based on a local weak form and Moving Least Squares (MLS) approxima- tion [15] ...
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Numerical Solution of Fourth Order Boundary Value Problems by Petrov Galerkin Method with Cubic B splines as basis Functions and Quintic B Splines as Weight Functions
... [13-16], Galerkin method with quintic B-splines [17], B-spline collocation method [18], Cubic B-spline collocation method [19], Galerkin method with cubic B-splines [20] have been employed to solve fourth ...
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Benefits of Using Non consolidated Domain Influence in Meshless Local Petrov galerkin (Mlpg) Method for Solving Lefm Problems
... Abstract This paper presents an efficient meshless method in the formulation of the weak form of local Petrov-Galerkin method MLPG. The formulation is carried out by using an elliptic domain rather than ...
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Discrete Mixed Petrov Galerkin Finite Element Method for a Fourth Order Two Point Boundary Value Problem
... A quadrature-based mixed Petrov-Galerkin finite element method is applied to a fourth-order linear ordinary differential equation. After employing a splitting technique, a cubic spline trial space and a ...
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Structural Reliability Assessment by a Modified Spectral Stochastic Meshless Local Petrov Galerkin Method
... local Petrov-Galerkin me- thod is more satisfactory than the performance of spectral stochastic finite element ...local Petrov- Galerkin results are more accurate than the spectral sto- ...
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Improved MLPG_R method for simulating 2D interaction between violent waves and elastic structures
... Local Petrov Galerkin method based on Rankine source (MLPG_R), has been developed and applied to model the violent waves and their interaction with rigid structures by Ma and Zhou [26] and Zhou and Ma ...
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A Mixed Discontinuous Galerkin Method for Incompressible Magnetohydrodynamics
... In this paper, we propose and analyze an interior penalty discontinuous Galerkin method for a linearized incompressible MHD model problem based on the mixed formulation introduced in [35]. Our method roots in the ...
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The Petrov and Kaigorodov–Ozsváth solutions : spacetime as a group manifold
... the Petrov solution with a possible physical interpretation as the exterior solu- tion of an infinite rigidly rotating cylinder in Section 2, and also a related vacuum solution with negative cosmological constant ...
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A comparison of polygonal discontinuous Galerkin methods
... While this introduces some error due to the approximation, the analysis shows that the impact is acceptable. On all criteria we see that VEM is preferable to PFEM. Its main advantage is that we expect VEM to be ...
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A Cartesian-grid integrated-RBF Galerkin technique
... It is noted that integrals Eq. 30 and Eq. 31 are computed here using Simpson’s rule. Results for Ra from 10 7 to 10 8 are presented in Tab. 1 and Fig. 1. Tab. 1 shows a comparison of the average Nusselt numbers between ...
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Computational Studies of Reaction Diffusion Systems by Nonlinear Galerkin Method
... nonlinear Galerkin method and the commonly known Faedo-Galerkin ...linear Galerkin method is more efficient since it con- serves the similar level of accuracy with respect to the shorter ...
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High order discontinuous Galerkin methods on surfaces
... discontinuous Galerkin methods for second-order elliptic problems on implicitely defined surfaces in R 3 ...discontinuous Galerkin framework of [3] on a triangulated surface approximating the smooth ...
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Discontinuous Legendre Wavelet Galerkin Method for One Dimensional Advection Diffusion Equation
... This paper presents discontinuous Legendre wavelet Galerkin (DLWG) approach for solving one- dimensional advection-diffusion equation (ADE). Variational formulation of this type equation and corresponding ...
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A Galerkin method of O(h2) for singular boundary value problems
... u − v ≥ 0 for −∞ < u, v < ∞, u ≠ v. (1.4) The singular two-point boundary value problems of the form (1.1) occur frequently in many applied problems, for example, in the study of electrohydrodynamics [9], in the ...
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A refinement of normal approximation to Poisson binomial
... are used, then the accuracy of the approximation is better. The use of asymptotic expan- sions is one of the most natural ways of refinement (see, e.g., Uspensky [12], Kolassa [6], Petrov [11], and Bhattacharya ...
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Discontinuous Galerkin Methods for the Biharmonic Problem
... [7] Cockburn, B., and Karniadakis, G. E., Eds. Discontinuous Galerkin methods, vol. 11 of Lecture Notes in Computational Science and Engineering. Springer-Verlag, Berlin, 2000. Theory, computation and ...
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