Results 61 to 70 of about 11,006,491 (189)
Large deformation analysis of elastic bodies by nonlinear Petrov–Galerkin natural element method
Advances in Mechanical Engineering, 2019 A two-dimensional nonlinear Petrov–Galerkin natural element method is presented for the large deformation analysis of elastic structures. The large deformation problem is formulated according to the linearized total Lagrangian method based on Taylor ...
HW Lee, JR Cho
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Stabilized approximation of steady flow of third grade fluid in presence of partial slip
Results in Physics, 2017 This article presents a stable numerical solution to the steady flow of thermodynamic compatible third grade fluid past a porous plate. Problem formulation is completed through partial slip condition.
Amer Rasheed +3 more
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A class of Petrov-Galerkin finite element methods for the numerical solution of the stationary convection-diffusion equation. [PDF]
, 1996 A class of Petrov-Galerkin finite element methods is proposed for the numerical solution of the n dimensional stationary convection-diffusion equation.
Perella, A.J., Perella, Andrew James
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Results in Applied MathematicsThe research adopts the Galerkin and Petrov–Galerkin spectral methods to analyze the effects of implicit–explicit Runge–Kutta (IMEX RK) time schemes on the stability, accuracy, precision, and efficiency of computations when used in numerical simulations ...
Anna Piterskaya, Mikael Mortensen
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مجلة المختار للعلوم, 2017 The volume integral of Riemann flux in the discontinuous Galerkin (DG) method is introduced in this paper. The boundaries integrals of the fluxes (Riemann flux) are transformed into volume integral.
Ibrahim. M. Rustum, ElHadi. I. Elhadi
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The Discontinuous Galerkin Method with Diffusion [PDF]
Mathematics of Computation, 1992 Let \(\Omega\subset \mathbb{R}^ 2\) be a bounded polygon and \(\alpha=(\alpha_ 1,\alpha_ 2)\) a unit vector. The author considers the following class of constant-coefficient convection-diffusion equations: (1) \(u_ \alpha-\sigma_ 1u_{xx}-\sigma_ 2u_{yy}=f\), where \((x,y)\in \Omega\), \(u_ \alpha=\alpha\cdot\bigtriangledown u\) and \(\sigma_ 1\) and \(\
openaire +1 more source
On the Application of the Discontinuous Galerkin Method to Turbomachinery Flows [PDF]
, 2012 This article describes the development of a Discontinuous Galerkin (DG) solver for 2D Euler flows with special emphasis on the implementation of robust and accurate boundary conditions for turbomachinary applications.
Ashcroft, Graham +2 more
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A continuous/discontinuous Galerkin formulation for a strain gradient-dependent damage model: 2D results [PDF]
, 2011 The numerical solution of strain gradient-dependent continuum problems has been hindered by continuity demands on the basis functions. The presence of terms in constitutive models which involve gradients of the strain eld means that the $C^0$ continuity
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An analytical and numerical approach for the $(1+1)$-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equation [PDF]
Iranian Journal of Numerical Analysis and OptimizationThe main focus of this work is to develop and implement an efficient lo-cal discontinuous Galerkin scheme for acquiring the numerical solution of the (1 + 1)-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equa-tion. The proposed framework employs a
A. Chand, J. Mohapatra
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