Results 31 to 40 of about 4,840 (191)

Some comparisons and analyses of time or space discontinuous Galerkin methods applied to elastic wave propagation in anisotropic and heterogeneous media

Advanced Modeling and Simulation in Engineering Sciences, 2019
This research work presents some comparisons and analyses of the time discontinuous space–time Galerkin method and the space discontinuous Galerkin method applied to elastic wave propagation in anisotropic and heterogeneous media.
Bing Tie
doaj   +1 more source

Perturbed Galerkin Method for Solving Integro-Differential Equations

Journal of Applied Mathematics, 2022
In this paper, perturbed Galerkin method is proposed to find numerical solution of an integro-differential equations using fourth kind shifted Chebyshev polynomials as basis functions which transform the integro-differential equation into a system of ...
K. Issa, J. Biazar, T. O. Agboola, T. Aliu   +3 more
doaj   +1 more source

Modeling proppant transport and settling in a 3D propagating fracture

Deep Underground Science and Engineering, EarlyView.
A versatile multiphysics tool is presented for simulating the complex processes involved in hydraulic fracturing treatments. The model couples fracture opening and propagation, variable‐density slurry flow, and proppant particle transport within the multiphysics object‐oriented simulation environment framework, based on two‐phase mixture equations and ...
Robert Egert, Aimé Fournier, Wencheng Jin   +2 more
wiley   +1 more source

L2-Error Estimates of the Extrapolated Crank-Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations

Journal of Inequalities and Applications, 2010
We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations.
Hyun Young Lee, Mi Ray Ohm, Jun Yong Shin   +2 more
doaj   +1 more source

Numerical solution for one-dimensional pure-convection problems using the high-order Taylor-Galerkin element-free method [PDF]

مهندسی عمران شریف
The present study proposes a novel approach for solving one-dimensional pure convection problems, utilizing a high-order Taylor Galerkin element-free method. The standard Galerkin method has limitations in solving such problems due to the predominance of
S. Espahbodi Nia, Ali Rahmani Firoozjaee
doaj   +1 more source

Edge‐Based Discretizations on Triangulations in Any Dimension, With Special Attention to Four‐Dimensional Space

International Journal for Numerical Methods in Fluids, EarlyView.
This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro, David M. Williams, Hiroaki Nishikawa   +2 more
wiley   +1 more source

Natural neighbour Galerkin methods [PDF]

International Journal for Numerical Methods in Engineering, 2000
Natural neighbour co-ordinates (Sibson co-ordinates) is a well-known interpolation scheme for multivariate data fitting and smoothing. The numerical implementation of natural neighbour co-ordinates in a Galerkin method is known as the natural element method (NEM).
Sukumar, N., Moran, B., Semenov, A. Yu., Belikov, V. V.   +3 more
openaire   +2 more sources

Employing the Moving Least‐Squares Aided Finite Element Method to Study Heat Transfer Phenomenon in Closed‐Cell Polymeric Foam

International Journal for Numerical Methods in Fluids, EarlyView.
Employing the moving least‐squares aided finite element method (MLS‐FEM) allows detailed thermal analysis in complex porous structures, such as polymeric foams, where the conductive heat transfer mechanism governs in the solid matrix and the convective mechanism dominates within the gas‐filled voids.
Mehdi Mostafaiyan, Sven Wiessner, Andreas Leuteritz   +2 more
wiley   +1 more source

A Numerical Comparison of Eigenfunction Matching and Singularity-Respecting Galerkin Approximation Methods for Linear Water Wave Scattering

Journal of Marine Science and Engineering
The convergence of two numerical methods for solving linear water wave scattering problems, namely the eigenfunction matching method (EMM) and the singularity-respecting Galerkin approximation (SRGA), is examined. To do so, the methods are applied to two
Ben Wilks, Michael H. Meylan
doaj   +1 more source

A NUMERICAL METHOD AND A PARALLEL ALGORITHM FOR SOLVING THE PROBLEM OF ELECTROMAGNETIC WAVE DIFFRACTION ON A NON-PLANAR PERFECTLY CONDUCTING SCREEN

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. The purpose of the work is to develop and implement the parallel algorithm for numerical solving the problem of electromagnetic wave diffraction by non-planar perfectly conducting screens. Materials and methods. Vector integro-differential
A. A. Tsupak
doaj   +1 more source