Results 41 to 50 of about 16,319,430 (163)

Error estimates of a semi-discrete LDG method for the system of damped acoustic wave equation

Advances in Difference Equations, 2018
We consider a system of acoustic wave equation possessing lower-order perturbation terms in a bounded domain in R2 $\mathbb{R}^{2}$. In this paper, we show the system is well-posed and stable with energy decays introducing a local discontinuous Galerkin (
Dojin Kim
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

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  

The Local Discontinuous Galerkin Method with Generalized Alternating Flux Applied to the Second-Order Wave Equations

Complexity, 2020
In this paper, we propose the local discontinuous Galerkin method based on the generalized alternating numerical flux for solving the one-dimensional second-order wave equation with the periodic boundary conditions.
Rongpei Zhang, Jia Liu, Shaohua Jiang, Di Wang   +3 more
doaj   +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

Analysis of the discontinuous Galerkin method for elliptic problems on surfaces [PDF]

, 2013
We extend the discontinuous Galerkin framework to a linear second-order elliptic problem on a compact smooth connected and oriented surface in ℝ3. An interior penalty (IP) method is introduced on a discrete surface and we derive a priori error estimates ...
Stinner, Björn, Madhavan, Pravin, Dedner, Andreas, Björn Stinner, Pravin Madhavan, Andreas Dedner   +5 more
core   +1 more source

Well-Balanced High-Order Discontinuous Galerkin Methods for Systems of Balance Laws

Mathematics, 2021
This work introduces a general strategy to develop well-balanced high-order Discontinuous Galerkin (DG) numerical schemes for systems of balance laws.
Ernesto Guerrero Fernández, Cipriano Escalante, Manuel J. Castro Díaz   +2 more
doaj   +1 more source

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

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   +6 more
core   +1 more source

A local discontinuous Galerkin method for the Caputo–Hadamard Burgers equation: Analysis and parameter estimation [PDF]

AIP Advances
This paper develops and analyzes a fully discrete numerical scheme for the time-fractional Burgers equation with a Caputo–Hadamard derivative, which incorporates a logarithmic kernel particularly suitable for modeling ultraslow diffusion processes.
Zhen Wang, Xiaoting Li
doaj   +1 more source