Galerkin finite element
A Comparative Study of Galerkin Finite Element and B Spline Methods for Two Point Boundary Value Problems
... The Galerkin-finite element method is well known numerical technique for the numerical solution of differential ...the Galerkin finite element method and Modal Matrix method to ...
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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 ...
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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 ...
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Accurate Discontinuous Galerkin Finite Element Methods for Computing Light Propagation in Photonic Crystals
... In this work, a method for computing the light propagation in photonic crystals was presented. First, a mathematical model for the time-harmonic Maxwell equations, which describe light propagation, was developed. The ...
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Automatic symbolic computation for discontinuous Galerkin finite element methods
... discontinuous Galerkin finite element methods (DGFEMs) represents a very challenging computational task, particularly for systems of coupled nonlinear PDEs, including multiphysics problems, whose ...
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The Continuous Galerkin Finite Element Method Is ot NaturallyC onsistent with the Second Law of Thermodynamics
... It is well known that the Continuous Galerkin Finite Element (CGFE) method is globally consistent with respect to the first law of thermody- namics. This means that, for any mesh, all obtained ...
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Galerkin Finite-Element Method for the Analysis of the Second Harmonic Generation in Wagon Wheel Fibers
... In the evaluation process, one eigenvalue from each set was selected based on similarity in their corresponding eigenvectors. The set of nonlinear differential equations were solved using Galerkin finite ...
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Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains
... In this article we present an overview of CFEs, and in particular consider their construction and analysis within the hp–version DGFEM setting. With this in mind, we follow the work presented in [33, 32, 1]; the ...
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An hp adaptive Newton discontinuous Galerkin finite element approach for semilinear elliptic boundary value problems
... The structure of this article is as follows. In Section 2 we briefly outline the adaptive (damped) Newton linearisation procedure employed within this article. The hp–version interior penalty DG discretisation of the ...
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Discontinuous Galerkin finite element approximation of nonlinear second order elliptic and hyperbolic systems
... discontinuous Galerkin finite element approximations of mixed Dirichlet– Neumann initial-boundary-value problems for systems of second-order quasi-linear hyperbolic equations of the form ...discontinuous ...
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Discontinuous Galerkin Finite Element Methods for Photonic Crystals
... An alternative is to assume that the solution is harmonic in time. This removes the time derivative from the equation, replacing it with the frequency of the solution instead. The time- harmonic Maxwell equations are ...
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Numerical modelling of MPA CVD reactors with the discontinuous Galerkin finite element method
... lying finite element mesh such that there is a higher density of elements within the quartz window, near the gas inlet and outlet pipes, as well as in the vicinity of the substrate surface and microwave ...
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Discontinuous Galerkin Finite Element Methods for the time harmonic Maxwell equations in periodic media
... A widely used numerical method is the finite difference method with the Yee scheme [24]. It is very popular due to the intuitivity of the discretization of the differential operators. One can either first compute ...
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A Hybrid Reconstructed Discontinuous Galerkin and Continuous Galerkin Finite Element Method for Incompressible Flows on Unstructured Grids.
... with i, j, and, k as the three vertices of the triangular element. After the local elemental stiffness matrices have been computed, the assembly to the global stiffness matrix can be carried out. The global ...
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A discontinuous Galerkin finite element method for the Zakharov Kuznetsov equation
... In this paper, we develop and analyze a discontinuous Galerkin (DG) method for the two-dimensional nonlinear Zakharov-Kuznetsov (ZK) equation. The DG method could be applied without introducing any auxiliary ...
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Weak Galerkin Finite Element Method for the Unsteady Stokes Equation
... Weak Galerkin (WG) finite element method for the unsteady Stokes equ- ations in the primary velocity-pressure formulation is introduced in this pa- ...
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A High Order Nodal Discontinuous Galerkin Method for 1D Morphodynamic Modelling
... In this paper we present a numerical solution of the sediment transport equations in one horizontal dimension, based on a discontinuous Galerkin finite-element method. The continuous equations are ...
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Index Terms — Hydrodynamic lubrication, parabolic slider,
... using finite difference method as the numerical tool for analysis as can be deduced from the literature ...of finite element methods in slider bearing design. The finite element method ...
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Finite Element Method for a Kind of Two Dimensional Space Fractional Diffusion Equation with Its Implementation
... The symmetric space-fractional convection-diffusion equation (including both left and right derivatives) was firstly proposed by Chaves [13] to investigate the mechanism of super-diffusion and was later generalized by ...
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Neumann-Type A Posteriori Error Estimation For Steady Convection-Diffusion Equation
... standard Galerkin approximation of ...Diffusion Finite Element Method (SDFEM) [18] or [14], [15] stabilizes a convection – dominated problem by adding weighted residuals to the standard ...
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