Results 41 to 50 of about 12,638,036 (224)

The discontinuous Petrov–Galerkin method

Acta Numerica
The discontinuous Petrov–Galerkin (DPG) method is a Petrov–Galerkin finite element method with test functions designed for obtaining stability. These test functions are computable locally, element by element, and are motivated by optimal test functions which attain the supremum in an inf-sup condition.
Leszek F. Demkowicz, Jay Gopalakrishnan
openaire   +1 more source

Discontinuous Galerkin methods for computational aerodynamics - 3D adaptive flow simulation with the DLR PADGE code [PDF]

, 2010
Over the last years, the discontinuous Galerkin method (DGM) has demonstrated its excellence in accurate, high-order numerical simulations for a wide range of applications in computational physics.
Ralf Hartmann, Tobias Leicht, Prill, Florian, Leicht, Tobias, Held, Joachim, Joachim Held, Hartmann, Ralf, J. Held, R. Hartmann, T. Leicht, F. Prill   +10 more
core   +1 more source

Polynomial-based mean weighted residuals methods for elliptic problems with nonlocal boundary conditions in the rectangle

Nonlinear Analysis, 2014
In this paper, polynomial-based mean weighted residuals methods for the solution of elliptic problems with nonlocal boundary conditions, in rectangular domains, are numerically studied.
Jesus Martín-Vaquero
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

A class of Petrov-Galerkin finite element methods for the numerical solution of the stationary convection-diffusion equation. [PDF]

, 1996
A class of Petrov-Galerkin finite element methods is proposed for the numerical solution of the n dimensional stationary convection-diffusion equation.
Perella, A.J., Perella, Andrew James
core  

Quail: A lightweight open-source discontinuous Galerkin code in Python for teaching and prototyping

SoftwareX, 2022
In this paper, we present Quail, a lightweight discontinuous Galerkin solver written in Python. The aim of this code is to serve not only as a teaching tool for newcomers to the rapidly growing field, but also as a prototyping platform for testing ...
Eric J. Ching, Brett Bornhoft, Ali Lasemi, Matthias Ihme   +3 more
doaj   +1 more source

High‐Order Projection‐Based Upwind Method for Simulation of Transitional Turbulent Flows

International Journal for Numerical Methods in Fluids, EarlyView.
In this study, we evaluated the implicit large‐eddy simulation capabilities of the mass‐conserving mixed stress method for transitional turbulent flows and proposed an efficient solution method for large‐scale applications. The results presented in this work show promising outcomes for incompressible aerodynamic flow problems, which can be further ...
Philip L. Lederer, Xaver Mooslechner, Joachim Schöberl   +2 more
wiley   +1 more source

Interior penalty discontinuous galerkin methods for electromagnetic and acoustic wave equations [PDF]

, 2006
Introduction: In this thesis we present and analyze the numerical approximation of the second order electromagnetic and acoustic wave equation by the interior penalty (IP) discontinuous Galerkin (DG) finite element method (FEM).
Schneebeli, Anna
core   +1 more source

Multifidelity Thermochemical–Mechanical Modeling of Pultruded Hollow Composite Profiles

Journal of Manufacturing Science and Engineering, EarlyView.
ABSTRACT Pultrusion of hollow composite profiles with fast‐curing polyurethane (PU) resin requires simultaneous control of heat transfer, cure kinetics, viscosity evolution, and pulling resistance, making empirical process optimization costly and uncertain.
Jacob Harris, Luohaoran Wang, Sangharsha Gharat, Louise Batta, Steven Mamolo, Ali Zolali, Alan Taub, Mihaela Banu   +7 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