Results 41 to 50 of about 17,200,724 (197)

The local discontinuous Galerkin method for contaminant transport [PDF]

Advances in Water Resources, 2000
Abstract We develop a discontinuous finite element method for advection–diffusion equations arising in contaminant transport problems, based on the Local Discontinuous Galerkin (LDG) method of Cockburn B and Shu CW. (The local discontinuous Garlerkin method for time-dependent convection–diffusion systems. SIAM J Numer Anal 1998;35:2440–63).
Vadym Aizinger, Clint Dawson, Bernardo Cockburn, Paul Castillo   +3 more
openaire   +1 more source

A Simple and Robust Shock-Capturing Approach for Discontinuous Galerkin Discretizations

Energies, 2019
The discontinuous Galerkin (DG) method has become popular in Computational Fluid Dynamics mainly due to its ability to achieve high-order solution accuracy on arbitrary grids, its high arithmetic intensity (measured as the ratio of the number of floating
Jae Hwan Choi, Juan J. Alonso, Edwin van der Weide   +2 more
doaj   +1 more source

A Phase‐Field Model for Quasi‐Dynamic Rupture Nucleation and Propagation of In‐Plane Faults

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase‐field method has recently enabled unified modeling of fault propagation and off‐fault damage within a fracture‐mechanics‐based framework ...
Fan Fei, Md Shumon Mia, Ahmed E. Elbanna, Jinhyun Choo   +3 more
wiley   +1 more source

Comparative Analysis of Post‐Buckling Torsional Response in Carbon/Aramid Hybrid and Carbon Fiber Composites: Experimental Evaluation of Synergistic Effects Beyond Macro‐Scale Modeling Limits

Polymer Composites, EarlyView.
Post‐buckling torsional response of carbon fiber (a) and intraply carbon/aramid hybrid (b) composites, revealing yarn‐level interaction beyond macro‐scale modeling limits. ABSTRACT This study investigates the buckling and post‐buckling performance of Carbon Fiber Reinforced Epoxy (CFRE) and intraply Carbon/Aramid Fabric Reinforced Epoxy (C/AFRE ...
G. E. Guloglu, B. Akış
wiley   +1 more source

On Discontinuous Galerkin Methods for Singularly Perturbed and Incompressible Miscible Displacement Problems [PDF]

, 2012
This thesis is concerned with the numerical approximation of problems of fluid flow, in particular the stationary advection diffusion reaction equations and the time dependent, coupled equations of incompressible miscible displacement in a porous medium.
CHAPMAN, JOHN,ROBERT, Chapman, John Robert   +1 more
core  

Volume Quantization with Flexible Singularities for Hexahedral Meshing

Computer Graphics Forum, EarlyView.
Abstract We present a novel algorithm for quantization and subsequent hexahedral mesh generation from seamless volumetric maps. Quantization is the process of choosing integers that represent the numbers of hexahedral elements to be placed in each region of the volume, and transforming the seamless map into an integer‐grid map matching that choice ...
H. Brückler, M. Campen
wiley   +1 more source

Numerical Analysis of Higher Order Discontinuous Galerkin Finite Element Methods [PDF]

, 2008
After the introduction in Section 1 this lecture starts off with recalling well-known results from the numerical analysis of the continuous finite element methods.
Hartmann, Ralf
core  

Stochastic Galerkin and Monte Carlo Methods for Parabolic Problems: Numerical Performance of Variational Matrix‐Free Approximations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor, Nils Margenberg, Markus Bause   +2 more
wiley   +1 more source

The local discontinuous Galerkin finite element method for Burger’s equation

Mathematical and Computer Modelling, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Long Shao, Xinlong Feng, Yinnian He
openaire   +2 more sources

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

International Journal for Numerical Methods in Fluids, Volume 98, Issue 10, Page 1143-1164, October 2026.
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