Results 111 to 120 of about 50,359 (223)

Two modified shifted Chebyshev–Galerkin operational matrix methods for even-order partial boundary value problems

Boundary Value Problems
This paper presents two operational matrices. The first one represents integer-order derivatives of the modified shifted Chebyshev polynomials of the second kind.
M. Abdelhakem, Dina Abdelhamied, M. El-Kady, Y. H. Youssri   +3 more
doaj   +1 more source

On the convergence of Galerkin approximations

, 1970
Let X be a separable Banach space over the reals and let X· be its dual. If x ϵ  X and u ϵ X* we will write and lt;x, u and gt; instead of u (x).  Also, if P: X → X is a linear operator we will denote by  P* the adjoint from X* into X* which is defined by and lt;x, P* u and gt; = and lt;P x, u and gt;. The strong convergence in X will be denoted by
openaire   +2 more sources

Derivation of an adjoint consistent discontinuous Galerkin discretization of the compressible Euler equations [PDF]

, 2006
Adjoint consistency - in addition to consistency - is the key requirement for discontinuous Galerkin (DG) discretizations to be of optimal order in L2 as well as measured in terms of target functionals.
Hartmann, Ralf
core  

An implicit-explicit Runge-Kutta discontinuous Galerkin method for advection-diffusion equations

四川大学学报. 自然科学版
In this paper， an implicit-explicit Runge-Kutta discontinuous Galerkin method is proposed for the advection-diffusion equation.In the method， a two-stage Runge-Kutta scheme is employed for the temporal discretization， a discontinuous Galerkin method is ...
QING Shuwen, WANG Lu, FENG Minfu
doaj  

Distributional derivatives and stability of discontinuous Galerkin finite element approximation methods

Electronic Journal of Differential Equations, 2016
The goal of this article is to explore and motivate stabilization requirements for various types of discontinuous Galerkin (DG) methods. A new approach for the understanding of DG approximation methods for second order elliptic partial differential ...
Thomas Lewis
doaj  

Spectral Galerkin Methods for Riesz Space-Fractional Convection–Diffusion Equations

Fractal and Fractional
This paper applies the spectral Galerkin method to numerically solve Riesz space-fractional convection–diffusion equations. Firstly, spectral Galerkin algorithms were developed for one-dimensional Riesz space-fractional convection–diffusion equations ...
Xinxia Zhang, Jihan Wang, Zhongshu Wu, Zheyi Tang, Xiaoyan Zeng   +4 more
doaj   +1 more source

Galerkin metodu

, 2021
In this study, we showed Banach space operator in the implementation of equations Galerkin approximate solution method. In here we gave some notions and definitions. Especially, we showed the convergence of Galerkin's approximations implementation of the Galerkin series.
openaire   +1 more source

Discontinuous Galerkin Computation of the Maxwell Eigenvalues on Simplicial Meshes [PDF]

, 2005
This paper is concerned with the discontinuous Galerkin approximation of the Maxwell eigenproblem. After reviewing the theory developed in [5], we present a set of numerical experiments which both validate the theory, and provide further insight ...
Buffa, Annalisa, Houston, Paul, Perugia, Ilaria   +2 more
core  

Comparison of high-order methods on unstructured grids [PDF]

, 2013
A high-order Discontinuous Galerkin (DG) method is formulated and implemented on the Cranfield University’s 3D unstructured Finite Volume Method (FVM) code (UCNS3D), for both linear and non-linear hyperbolic conservation laws and for test-cases which ...
Iqbal, Kashif H.
core  

High-Speed Precision Machining and Surface Roughness Determination of Freeform Curves Using Galerkin-NURBS Interpolation and Jerk-Limited Trajectory Planning. [PDF]

Sensors (Basel)
Garba UH, Wang T, Tian Y, Kang J, Tian C.   +4 more
europepmc   +1 more source