Results 61 to 70 of about 35,295 (209)

On the use of reduced integration in combination with discontinuous Galerkin discretization: application to volumetric and shear locking problems

Advanced Modeling and Simulation in Engineering Sciences, 2018
In the present work, the discontinuous Galerkin (DG) method is applied to linear elasticity for two-dimensional and three-dimensional settings. A locking-free element formulation based on reduced integration and physically-based hourglass stabilization ...
Hamid Reza Bayat, Stephan Wulfinghoff, Steffen Kastian, Stefanie Reese   +3 more
doaj   +1 more source

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

Vibration Analysis of Thin Plates Resting on Pasternak Foundations by Element free Galerkin Method

Shock and Vibration, 2013
The element free Galerkin method is used to analyze free vibration of thin plates resting on Pasternak elastic foundations with all possible types of classical boundary conditions.
Ehsan Bahmyari, Mohammad Mahdi Banatehrani, Mohammad Ahmadi, Marzieh Bahmyari   +3 more
doaj   +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

The improved interpolating element-free Galerkin method with nonsingular weight functions for 3D Schrödinger equations

Alexandria Engineering Journal
In this study, the improved interpolating element-free Galerkin (IIEFG) method with a nonsingular weight function for solving the 3D Schrödinger equations is presented.
Haili Cui, Zhijuan Meng, Heng Cheng, Lidong Ma   +3 more
doaj   +1 more source

High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows

, 2015
In this paper we present an efficient discretization method for the solution of the unsteady incompressible Navier-Stokes equations based on a high order (Hybrid) Discontinuous Galerkin formulation.
Lehrenfeld, Christoph, Schöberl, Joachim   +1 more
core   +1 more source

Coupled Fluid–Structure–Acoustic Analysis of Flow‐Induced Noise Control Using an Elastic Baffle in a Micro Channel

Energy Science &Engineering, Volume 14, Issue 5, Page 2571-2582, May 2026.
This research explores how fluid flow, structural movement, and sound interact in an elastic baffle system. Using a numerical approach based on the finite element method, the study analyzes how noise and vibrations change with different baffle configurations. The findings reveal that shortening the baffle by half reduces noise transmission by 9%, while
Tohid Adibi, Seyed Esmail Razavi, Shams Forruque Ahmed, Khashayar Fardnia, Aydin Qheydarpoor, Hammad Alotaibi   +5 more
wiley   +1 more source

An element-free Galerkin method for electromechanical coupled analysis in piezoelectric materials with cracks

Advances in Mechanical Engineering, 2017
We present an element-free Galerkin method for electromechanical coupled fracture analysis in piezoelectric materials. Singularity terms were introduced into the approximation function of the new method to describe the displacement and electric fields ...
Xiao Lin Li, Li Ming Zhou
doaj   +1 more source

On the Approximation of a Nonlinear Biological Population Model Using Localized Radial Basis Function Method

Mathematical and Computational Applications, 2019
A localized radial basis function meshless method is applied to approximate a nonlinear biological population model with highly satisfactory results. The method approximates the derivatives at every point corresponding to their local support domain.
Marjan Uddin, Hazrat Ali, Muhammad Taufiq   +2 more
doaj   +1 more source

Direct Numerical Simulation of Magnetohydrodynamic Slip‐Flow Past a Stretching Surface Using Physics‐Informed Neural Network

Heat Transfer, Volume 55, Issue 3, Page 1674-1682, May 2026.
ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
wiley   +1 more source