Petrov galerkin
Extension of Meshless Galerkin/Petrov-Galerkin Approach without Using Lagrange Multipliers
... By directly discretizing the weak form used in the finite element method, meshless methods have been derived. Neither the Lagrange multiplier method nor the penalty method is employed in the derivation of the methods. ...
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STREAMLINE UPWIND/PETROV GALERKIN SOLUTION OF OPTIMAL CONTROL PROBLEMS GOVERNED BY TIME DEPENDENT DIFFUSION-CONVECTION-REACTION EQUATIONS
... standard Galerkin finite element discretization causes nonphysical oscillations in the solution when convection ...upwind/Petrov Galerkin (SUPG) finite element method [6], the local projection ...
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Numerical solution of ninth order boundary value problems by Petrov Galerkin method with quintic B splines as basis functions and sextic B splines as weight functions
... involves Petrov-Galerkin approach with quintic B-splines as basis functions and sextic B- splines as weight functions to solve a general ninth order boundary value problem of the type ...using ...
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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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Meshless Local Petrov-Galerkin Method for Elasto-Static Analysis of Thick-Walled Isotropic Laminated Cylinders
... Local Petrov-Galerkin (MLPG) approach is one of the most successful meshless methods presented by Atluri and Zhu in 1998 ...local Petrov–Galerkin methods to solve two- dimensional potential ...
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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
... method, Galerkin method, Least Squares method, Petrov-Galerkin method and Collocation method ...In Petrov-Galerkin method, the residual of approximation is made orthogonal to the weight ...
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SOLVING FRACTIONAL DIFFUSION AND FRACTIONAL DIFFUSION-WAVE EQUATIONS BY PETROV-GALERKIN FINITE ELEMENT METHOD
... Before proceeding with the application of Petrov-Galerkin method to the Eq. (1) with the appropriate boundary conditions, we initially need to construct the weak form of the Eq. (1). To do this, all terms ...
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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
... a Petrov-Galerkin method with cubic B-splines as basis functions and quintic B-splines as weight functions to solve fourth order boundary value problems with special case of boundary ...
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A Study of the Elastodynamic Problem by Meshless Local Petrov Galerkin Method Using the Laplace Transform
... Generality of physical or mechanical problems are modeled by partial differen- tial equations (PDEs). Moreover, a high number of numerical methods and techniques have been developed for the approximation of solution of ...
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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
... derivatives vanish on the boundary. In Petrov-Galerkin method, the number of basis functions in the approximation should match with the number of weight functions. Here the number of basis functions in the ...
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Numerical approximation of the fractional HIV model using the meshless local Petrov–Galerkin method
... local Petrov–Galerkin (MLPG) method is a fundamental base for the derivation of many meshless formulations since the trial and test functions can be cho- sen from different functional ...
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Application of the Meshless Local Petrov-Galerkin Method to Unsteady, Multi-Dimensional Fluid Dynamics with Interfaces.
... The Meshless Local Petrov-Galerkin (MLPG) method is a numerical framework for solving partial differential equations. This method is unique in that it uses the governing equations in the local symmetric ...
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Discrete Mixed Petrov Galerkin Finite Element Method for a Fourth Order Two Point Boundary Value Problem
... The main idea of this paper is that a quadrature based approximation for a fourth order problem is analyzed in mixed Galerkin setting. The organization of this paper is as follows. In previous Sections 1 and 2, ...
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Multiscale Petrov Galerkin method for high frequency heterogeneous Helmholtz equations
... multiscale Petrov-Galerkin finite element method for time-harmonic acoustic scattering problems with heterogeneous coefficients in the high-frequency ...
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A Petrov-Galerkin method for flows in cavities: enclosure of aspect ratio 8
... The Petrov-Galerkin method used permits the efficient and spectrally accurate solution of incompress- ible fully enclosed flows using primitive variables. Pressure is eliminated identically from the system ...
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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
... a Petrov-Galerkin method with quintic B-splines as basis functions and sextic B-splines as weight functions to solve a general tenth order boundary value problem with special case of boundary ...
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Petrov-Galerkin formulation for compressible Euler and Navier-Stokes equations
... The resolution of the Navier-Stokes and Euler equations by the finite element method is the focus of this paper. These equations are solved in conservative form using, as unknown variables, the so-called conservative ...
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A Petrov-Galerkin Spectral element technique for heterogeneous porous media flow
... 1. Polynomial Approximation. Spectral element approximations have been shown to be an eective tool for the approximations of certain classes of partial dierential equations[9, 14]. The approach utilized by Patera ...
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Optimization of Meshless Local Petrov-Galerkin Parameters using Genetic Algorithm for 3D Elasto-static Problems (TECHNICAL NOTE)
... Abstract A truly Meshless Local Petrov-Galerkin (MLPG) method is developed for solving 3D elasto-static problems. Using the general MLPG concept, this method is derived through the local weak forms of the ...
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Existence of solution and solving the integro-differential equations system by the multi-wavelet Petrov-Galerkin method
... the Petrov-Galerkin method has been used for solving integro-differential equations and in [4, 8] some integro-differential equations have been solved by using semiorthogonal spline ...the ...
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