Results 1 to 10 of about 50,359 (223)

Interval element-free Galerkin method for uncertain mechanical problems

Advances in Mechanical Engineering, 2018
An interval element-free Galerkin method was proposed to solve some issues in structural design and analysis of structural parameters that have errors or uncertainties caused by manufacture, installation, measurement, or computation.
Li Ming Zhou, Erfei Zhao, Shuhui Ren
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Difference interior penalty discontinuous Galerkin method for the 3D elliptic equation

Results in Applied Mathematics
This paper presents a difference interior penalty discontinuous Galerkin method for the 3D elliptic boundary-value problem. The main idea of this method is to combine the finite difference discretization in the z-direction with the interior penalty ...
Jian Li, Wei Yuan, Luling Cao
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An h-Adaptive Poly-Sinc-Based Local Discontinuous Galerkin Method for Elliptic Partial Differential Equations

Axioms, 2023
For the purpose of solving elliptic partial differential equations, we suggest a new approach using an h-adaptive local discontinuous Galerkin approximation based on Sinc points.
Omar A. Khalil, Gerd Baumann
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Stability-preserving model order reduction for linear stochastic Galerkin systems

Journal of Mathematics in Industry, 2019
Mathematical modeling often yields linear dynamical systems in science and engineering. We change physical parameters of the system into random variables to perform an uncertainty quantification.
Roland Pulch
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Distribución del potencial electrostático en una placa cuadrada utilizando el método de elementos finitos

TecnoLógicas, 2008
This paper presents the solution to the problem of the distribution of the electrostatic potential in a square plate by means of the Finite Elements Method (FEM).
Jairo Madrigal-Argáez, Jaime Barbosa-Pérez, Manuel J. García-Ruiz   +2 more
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Re-iterated approximation methods for nonlinear Volterra integral equations

Mathematical Modelling and Analysis
In this article, the Newton-iteration scheme based upon iterated Galerkin operator is applied for solving non-linear Volterra Urysohn integral equations of the second kind for smooth and weakly singular kernels. A one step of improvement by iteration to
Samiran Chakraborty, Kapil Kant, Ritu Nigam, Gnaneshwar Nelakanti   +3 more
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Aplicación del método Petrov-galerkin como técnica para la estabilización de la solución en problemas unidimensionales de convección-difusión-reacción

Revista Facultad de Ingeniería Universidad de Antioquia, 2009
El presente artículo estudia el método Streamline Upwind Petrov Galerkin como técnica de estabilización de la solución numérica de las ecuaciones diferenciales de advección-difusión-reacción; se analiza el método a la luz de la naturaleza no auto adjunta
Diego Alexander Garzón Alvarado, Carlos Humberto Galeano Urueña, Carlos Alberto Duque Daza   +2 more
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Comparación del método de líneas características y el método Petrov Galerkin en contracorriente para problemas de advección dominante

Revista Facultad de Ingeniería Universidad de Antioquia, 2010
El presente artículo desarrolla numéricamente el problema de la ecuación diferencial de difusión-advección, empleando el método de Galerkin sobre líneas características y el método de Petrov-Galerkin en contracorriente (SUPG).
Carlos Humberto Galeano, Diego Alexander Garzón, Juan Miguel Mantilla   +2 more
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A priori error estimates for a discretized poro-elastic–elastic system solved by a fixed-stress algorithm

Oil & Gas Science and Technology, 2019
We consider a poro-elastic region embedded into an elastic non-porous region. The elastic displacement equations are discretized by a continuous Galerkin scheme, while the flow equations for the pressure in the poro-elastic medium are discretized by ...
Girault Vivette, Wheeler Mary F., Almani Tameem, Dana Saumik   +3 more
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A comparison of implicit–explicit Runge–Kutta time integration schemes in numerical solvers based on the Galerkin and Petrov–Galerkin spectral methods for two-dimensional magneto-hydrodynamic problems

Results in Applied Mathematics
The 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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