Galerkin Finite Element Method
A Galerkin Finite Element Method for Two-Point Boundary Value Problems of Ordinary Differential Equations
... decomposition method. The Galerkin-finite element method is well known numerical technique for the numerical solution of differential ...the Galerkin- finite ...
5
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 ...
19
SOLVING FRACTIONAL DIFFUSION AND FRACTIONAL DIFFUSION-WAVE EQUATIONS BY PETROV-GALERKIN FINITE ELEMENT METHOD
... Prof.Dr. Alaattin ESEN received his diploma in mathematics from the nonu University in 1994. He has completed his M.Sc. and Ph.D. degrees in applied mathematics. He is currently studying about the numerical solutions of ...
14
Clearance gap flow: extended pneumatic measurements and simulations by discontinuous Galerkin finite element method
... Abstract. In the present paper, new results of measurements of the compressible viscous fluid flow in narrow channels with parallel walls under the conditions of aerodynamic choking are presented. Investigation was carried ...
6
ERROR ESTIMATE FOR SPACE-TIME DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD OF CONVECTION-DIFFUSION PROBLEM
... DGFE method, which becomes more and more popular in the solution of a number of ...DGFE method uses piecewise polynomial approximations of the sought solution on a finite elements mesh without any ...
26
Galerkin Finite-Element Method for the Analysis of the Second Harmonic Generation in Wagon Wheel Fibers
... Abstract—The nonlinear effects of the second harmonic generation have been investigated for the propagation of light along the axis of fibers of wagon wheel cross sectional shape. Nodal finite element ...
10
Application of Petrov-Galerkin finite element method to shallow water waves model: Modified Korteweg-de Vries equation
... couple of conserved quantities are computed. For the linear stability analysis of numerical algorithm, Fourier method is also investigated. As a result, the computed results show that the presented numerical ...
12
Weak Galerkin Finite Element Method for the Unsteady Stokes Equation
... The finite element method for the unsteady Stokes equations developed over the last several decades is based on the weak formulation by constructing a pair of finite element spaces ...
12
Numerical modelling of MPA CVD reactors with the discontinuous Galerkin finite element method
... DG finite element formulation has been generated based on employing the symbolic algebra toolkit AptoPy ...underlying finite element ...
25
A discontinuous Galerkin finite element method for the Zakharov Kuznetsov equation
... discontinuous Galerkin (DG) method for the two-dimensional nonlinear Zakharov-Kuznetsov (ZK) ...DG method could be applied without introducing any auxiliary variables or rewriting the original ...
12
A Hybrid Reconstructed Discontinuous Galerkin and Continuous Galerkin Finite Element Method for Incompressible Flows on Unstructured Grids.
... least-squares method that guarantees exact conservation, not only of the cell averages but also of all higher order moments in the reconstructed cell itself, such as slopes and ...discontinuous Galerkin ...
82
The Continuous Galerkin Finite Element Method Is ot NaturallyC onsistent with the Second Law of Thermodynamics
... For the present experiment, 15 entropically inconsistent solutions were de- tected. They are given in Table 1. The corresponding values of negative entropy rates are shown in the last column. In Fig. ??, the distribution ...
22
SEMI DISCRETE FORMULATION OF GALERKIN -PARTIAL ARTIFICIAL DIFFUSION FINITE ELEMENT METHOD FOR COUPLED BURGERS' PROBLEM
... standard Galerkin finite element method produce an oscillating solution which is not close to exact ...the finite element ...
24
Accurate Discontinuous Galerkin Finite Element Methods for Computing Light Propagation in Photonic Crystals
... a method for computing the light propagation in photonic crystals was ...discontinuous Galerkin finite element method was motivated and applied to the ...
93
Continuous and discontinuous Galerkin finite element methods of variational Boussinesq water-wave models
... The wave propagation described by the two variational Boussinesq models is solved numer- ically. The variational models lead to weak variational forms, that are used to conduct the weak formulations of the continuous ...
94
Discontinuous Galerkin Finite Element Methods for the time harmonic Maxwell equations in periodic media
... numerical method is the finite difference method with the Yee scheme ...the finite difference frequency domain discretization is given in ...
57
Robust Finite Element Approaches to Systemic Circulation Using the Locally Conservative Galerkin (LC
... LCG method needs only to deal with very small matrix size of 4 x 4 per element, and therefore almost all solvers are applicable with manageable Jacobian ...
10
A galerkin boundary element method for solving the generalized Helmholtz decomposition
... collocation method is ob- tained with collocation points at locations ...an element and 0 elsewhere, a Petrov-Galerkin method is ob- ...a Galerkin method in which the weighting ...
10
Analysis of seabed instability using element free Galerkin method
... problems (Jeng and Lin, 1996; Jeng, 2003). Gatmiri (1990) developed a simplified finite element model for an isotropic and saturated permeable seabed. Recently, a meshless EFGM model was developed for the ...
5
Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains
... k)–dimensional element facets, k = 1, ...proposed method; in particular, we derive hp–version inverse estimates and approximation results which are sharp with respect to element facet degenera- ...
28