Results 41 to 50 of about 634 (135)

Space‐Time FEM Solution of Dynamic Contact Problem With Discontinuous Velocity for Multiple Impact of Deformed Bar Using PDAS Method

Mathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 5897-5912, 15 May 2026.
ABSTRACT A class of one‐dimensional impact and dynamic contact problems taking into account non‐smooth velocities is studied. The new space‐time finite element approximation of dynamic variational inequalities is suggested. The non‐smooth solution for the impact of an obstacle by an elastic bar and its energy conservation under persistency conditions ...
Victor A. Kovtunenko, Adrien Petrov, Yves Renard   +2 more
wiley   +1 more source

Optimizing Light in Space and Time: Inverse Design of Spacetime‐Modulated Metasurfaces via Discontinuous Galerkin Time‐Domain Method

Advanced Photonics Research, Volume 7, Issue 5, May 2026.
This work presents a rigorous inverse design framework based on a discontinuous Galerkin time‐domain (DGTD) framework to handle arbitrary temporal variations in material properties. Our DGTD method is coupled with an advanced Bayesian optimization algorithm to design a realistic space‐time modulated silicon‐based metasurface that achieves nearly 80%$80\
Roman Gelly, Mahmoud Elsawy, Stéphane Lanteri   +2 more
wiley   +1 more source

Rapid City‐Scale Earthquake Assessment by Combining Numerical Simulation and Sparse Sensing

Earthquake Spectra, Volume 42, Issue 2, May 2026.
This study proposes a framework to assess the seismic risk by integrating city‐scale numerical simulations with sensor data prediction. The study begins with advanced numerical simulations using two primary methods: the integrated earthquake simulator (IES) and the stochastic Green's function method.
Dongyang Tang, Hidekazu Usami, Saneiki Fujita, Reika Nomura, Kenjiro Terada, Susumu Ohno, Jia Guo, Masaaki Sakuraba, Kazuya Nojima, Shuji Moriguchi   +9 more
wiley   +1 more source

Explicit‐Implicit Material Point Method for Dense Granular Flows With a Novel Regularized µ(I) Model

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 7, Page 3256-3273, May 2026.
ABSTRACT The material point method (MPM) is widely employed to simulate granular flows. Although explicit time integration is favored in most current MPM implementations for its simplicity, it cannot rigorously incorporate the incompressible µ(I)‐rheology, an efficient model ubiquitously adopted in other particle‐based numerical methods. While operator‐
Hang Feng, Zhen‐Yu Yin
wiley   +1 more source

FEM‐Peridynamic Modelling of Supershear Earthquake Ruptures in Dry and Fluid‐Saturated Media

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.
Abstract Since ground shaking increases with rupture speed during earthquakes, the velocity transition from sub‐Rayleigh to supershear in mode II fracture is crucial for the propagation of seismic ruptures and associated strong ground motions. We employ a newly conceived 2‐dimensional hybrid Finite Element Method and Peridynamic (FEM/PD‐2D) model to ...
Yongkang Shu, Zhenzhong Shen, Tao Ni, Manuele Faccenda, Ugo Galvanetto, Giulio Di Toro, Bernhard A. Schrefler   +6 more
wiley   +1 more source

Penalty‐free discontinuous Galerkin method

International Journal for Numerical Methods in Engineering
AbstractIn this article, we present a new high‐order discontinuous Galerkin (DG) method, in which neither a penalty parameter nor a stabilization parameter is needed. We refer to this method as penalty‐free DG. In this method, the trial and test functions belong to the broken Sobolev space, in which the functions are in general discontinuous on the ...
Jan Jaśkowiec, N. Sukumar
openaire   +2 more sources

Asperity‐Driven Cascading Rupture of a Mw 1.6 Induced Microearthquake

Geophysical Research Letters, Volume 53, Issue 8, 28 April 2026.
Abstract Studies of small earthquake (M < 2) rupture processes traditionally rely on simplified models that assume symmetric slip or point sources. Using an exceptionally dense seismic network and empirical Green's function (EGF) analysis, we investigate the complex rupture of a Mw 1.6 microearthquake induced by hydraulic fracturing.
Xinxing Chen, Haichao Chen, Fenglin Niu, Xiaobo Meng   +3 more
wiley   +1 more source

Quasi-Monte Carlo and Discontinuous Galerkin

ETNA - Electronic Transactions on Numerical Analysis
In this study, we consider the development of tailored quasi-Monte Carlo (QMC) cubatures for non-conforming discontinuous Galerkin (DG) approximations of elliptic partial differential equations (PDEs) with random coefficients. We consider both the affine and uniform and the lognormal models for the input random field, and investigate the use of QMC ...
Vesa Kaarnioja, Andreas Rupp
openaire   +2 more sources

On Discontinuous Galerkin Methods for Elliptic Problems with Discontinuous Coefficients [PDF]

Computational Methods in Applied Mathematics, 2003
AbstractDiscontinuous Galerkin methods for elliptic problems with discontinuous coefficients are discussed. First the error bound of the methods is analyzed. Then a multilevel additive Schwarz preconditioner for one of the discrete problems is designed and analyzed.
openaire   +2 more sources

ADER discontinuous Galerkin schemes for aeroacoustics

Comptes Rendus. Mécanique, 2005
In this paper we apply the ADER approach to the Discontinuous Galerkin (DG) framework for the two-dimensional linearized Euler equations. The result is an efficient high order accurate single-step scheme in time which uses less storage than Runge–Kutta DG schemes, especially for very high order of accuracy.
Dumbser, Michael, C. D. Munz
openaire   +2 more sources