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Petrov-Galerkin method

Multiscale Petrov Galerkin method for high frequency heterogeneous Helmholtz equations

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, ...this method, whereas the ...

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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

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

... Element Method (FEM) the approximate solution can be written as a linear combination of basis functions which constitute a basis for the approximation space under ...Ritz method, Galerkin ...

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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

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

... a Petrov- Galerkin method with quartic B-splines as basis functions and sextic B-splines as weight functions to solve sixth order boundary value problems with special case of boundary ...proposed ...

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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

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

... collocation method [4], Modified decomposition method [5], Decomposition method [6], Differential transform method [7, 8], A higher order B-spline collocation method [9], Homotopy ...

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Existence of solution and solving the integro-differential equations system by the multi-wavelet Petrov-Galerkin method

Existence of solution and solving the integro-differential equations system by the multi-wavelet Petrov-Galerkin method

... the Petrov-Galerkin method. In the Petrov-Galerkin method choosing the trial and test space is important, so we use Alpert multi-wavelet as basis functions for these ...

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Meshless Local Petrov-Galerkin Method for Elasto-Static Analysis of Thick-Walled Isotropic Laminated Cylinders

Meshless Local Petrov-Galerkin Method for Elasto-Static Analysis of Thick-Walled Isotropic Laminated Cylinders

... MLPG method with radial basis functions ...local PetrovGalerkin approach for coupled radiative and conductive heat transfer ...local PetrovGalerkin approach for large deformation ...

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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

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

... Element Method (FEM) the approximate solution can be written as a linear combination of basis functions which constitute a basis for the approximation space under ...Ritz method, Galerkin ...

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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

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

... Element Method (FEM) the approximate solution can be written as a linear combination of basis functions which constitute a basis for the approximation space under ...Ritz method, Galerkin ...

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The Petrov-Galerkin Method for Numerical Solution of Stochastic Volterra Integral Equations

The Petrov-Galerkin Method for Numerical Solution of Stochastic Volterra Integral Equations

... The Petrov-Galerkin method is a numerical method based on Galerkin method but with different trial and test ...This method has been used for approximation of the numeri- ...

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A Petrov-Galerkin method for flows in cavities: enclosure of aspect ratio 8

A Petrov-Galerkin method for flows in cavities: enclosure of aspect ratio 8

... A Petrov-Galerkin method for computations of fully enclosed flows is ...the method by solving the problem of the two-dimensional thermoconvective flow in a rectangular cavity of aspect ratio 8 ...

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Numerical approximation of the fractional HIV model using the meshless local Petrov–Galerkin method

Numerical approximation of the fractional HIV model using the meshless local Petrov–Galerkin method

... local PetrovGalerkin (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 ...MLPG ...

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A Study of the Elastodynamic Problem by Meshless Local Petrov Galerkin Method  Using the Laplace Transform

A Study of the Elastodynamic Problem by Meshless Local Petrov Galerkin Method Using the Laplace Transform

... Local Petrov-Galerkin (MLPG) with Laplace transform is used for solving partial differential ...residual method locally from the dynamic partial differential equation and using the moving least ...

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Application of the Meshless Local Petrov-Galerkin Method to Unsteady, Multi-Dimensional Fluid Dynamics with Interfaces.

Application of the Meshless Local Petrov-Galerkin Method to Unsteady, Multi-Dimensional Fluid Dynamics with Interfaces.

... Local Petrov-Galerkin (MLPG) method is a numerical framework for solving partial differential ...This method is unique in that it uses the governing equations in the local symmetric weak form ...

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Meshless Local Petrov-Galerkin method with Rankine source solution for two-dimensional two-phase flow modelling

Meshless Local Petrov-Galerkin method with Rankine source solution for two-dimensional two-phase flow modelling

... colour-gradient method (Adami et ...a method to locally reconstruct the free surface after the surface particle identification which was also adopted in Zhang et ...

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Benefits of Using Non consolidated Domain Influence in Meshless Local Petrov galerkin (Mlpg) Method for Solving Lefm Problems

Benefits of Using Non consolidated Domain Influence in Meshless Local Petrov galerkin (Mlpg) Method for Solving Lefm Problems

... meshless method in the formulation of the weak form of local Petrov-Galerkin method ...the method involves an MLPG formulation in conjunction with an anisotropic weight ...MLPG ...

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An analysis of Galerkin methods for solving transport problems

An analysis of Galerkin methods for solving transport problems

... discontinuous Galerkin method and a continuous Petrov-Galerkin method were analyzed and ...each method. First of all, quite obviously, the continuous method yield a ...

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Improved MLPG_R method for simulating 2D interaction between violent waves and elastic structures

Improved MLPG_R method for simulating 2D interaction between violent waves and elastic structures

... Local Petrov Galerkin method with Rankine source solution (MLPG_R) for studying such interaction, which solves the Navier-stokes equations for water waves and the elastic vibration equations for ...

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Taylor-Series Expansion Methods for Multivariate Hammerstein Integral Equations

Taylor-Series Expansion Methods for Multivariate Hammerstein Integral Equations

... the Galerkin method, the collocation method, the quadrature method such as Nystrom (see, ...the Petrov-Galerkin method for solving the Stochastic Volterra Integral ...

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Discrete Mixed Petrov Galerkin Finite Element Method for a Fourth Order Two Point Boundary Value Problem

Discrete Mixed Petrov Galerkin Finite Element Method for a Fourth Order Two Point Boundary Value Problem

... The above set of equations 2.15–2.16 can be written as a set of 2n 6 equations in 2n 6 unknowns. Here, we study the effect of quadrature rule in the error analysis. Since we compute the approximations for the solution ux ...

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Petrov-Galerkin formulation for compressible Euler and Navier-Stokes equations

Petrov-Galerkin formulation for compressible Euler and Navier-Stokes equations

... the Petrov- Galerkin method introduces strong ...Newton-Raphson method requires the calculation of the first variations of all the functional ones present in the ...

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