Results 61 to 70 of about 2,258,481 (223)

Implementation of multirate time integration methods for air pollution modelling [PDF]

Geoscientific Model Development, 2012
Explicit time integration methods are characterised by a small numerical effort per time step. In the application to multiscale problems in atmospheric modelling, this benefit is often more than compensated by stability problems and step size ...
M. Schlegel, O. Knoth, M. Arnold, R. Wolke   +3 more
doaj   +1 more source

Simulating Extraocular Muscle Dynamics. A Comparison between Dynamic Implicit and Explicit Finite Element Methods

Mathematics, 2021
The finite element method has been widely used to investigate the mechanical behavior of biological tissues. When analyzing these particular materials subjected to dynamic requests, time integration algorithms should be considered to incorporate the ...
Jorge Grasa, Begoña Calvo
doaj   +1 more source

Adaptive FEM with explicit time integration for the wave equation

Journal of Computational and Applied Mathematics
Starting from a recent a posteriori error estimator for the finite element solution of the wave equation with explicit time-stepping [Grote, Lakkis, Santos, 2024], we devise a space-time adaptive strategy which includes both time evolving meshes and local time-stepping [Diaz, Grote, 2009] to overcome any overly stringent CFL stability restriction on ...
Marcus J. Grote, Omar Lakkis, Carina S. Santos   +2 more
openaire   +2 more sources

Energy-corrected FEM and explicit time-stepping for parabolic problems

, 2019
The presence of corners in the computational domain, in general, reduces the regularity of solutions of parabolic problems and diminishes the convergence properties of the finite element approximation introducing a so-called "pollution effect".
Swierczynski, Piotr, Wohlmuth, Barbara
core   +1 more source

A semi-explicit multi-step method for solving incompressible navier-stokes equations [PDF]

, 2018
The fractional step method is a technique that results in a computationally-efficient implementation of Navier–Stokes solvers. In the finite element-based models, it is often applied in conjunction with implicit time integration schemes.
Martí, Julio Marcelo, Ryzhakov, Pavel
core   +2 more sources

Theory and Implementation of a Two-Step Unconditionally Stable Explicit Integration Algorithm for Vibration Analysis of Structures

Shock and Vibration, 2016
Time history analysis is becoming the routine process to quantify the response of the structure under dynamic loads. In this paper, a novel two-step unconditionally stable explicit integration algorithm, named Unconditional Stable Two-Step Explicit ...
Li Changqing, Jie Junping, Jiang Lizhong, T. Y. Yang   +3 more
doaj   +1 more source

A Godunov‐type finite‐volume solver for nonhydrostatic Euler equations with a time‐splitting approach

Journal of Advances in Modeling Earth Systems, 2017
A two‐dimensional conservative nonhydrostatic (NH) model based on the compressible Euler system has been developed in the Cartesian (x, z) domain. The spatial discretization is based on a Godunov‐type finite‐volume (FV) method employing dimensionally ...
Farshid Nazari, Ramachandran D. Nair
doaj   +1 more source

RETRACTED: Empirical analysis of the integration mechanism of explicit and implicit education on the ideological and political education and impact on mental health: The perspective of new media

Frontiers in Public Health, 2022
BackgroundEducation nowadays should be a combination of explicit and implicit education, which can effectively improve the effectiveness of ideological and political education, promote the development of ideological and political education in ...
Dong Hui
doaj   +1 more source

Data‐Based Estimation of Critical Time Steps for Explicit Time Integration

International Journal for Numerical Methods in Engineering
ABSTRACTFinding the critical time step for conditionally stable time integration methods has been a decades‐long problem. The apparently obvious option of directly computing it from a generalized eigenvalue analysis, identifying the largest eigenfrequency of the discrete system, is usually impractical because of its numerical expense and because a ...
Tobias Willmann, Maximilian Schilling, Manfred Bischoff   +2 more
openaire   +2 more sources

Efficient implicit FEM simulation of sheet metal forming [PDF]

, 2003
For the simulation of industrial sheet forming processes, the time discretisation is\ud one of the important factors that determine the accuracy and efficiency of the algorithm.
Boogaard, A.H. van den, Huetink, J., Meinders, T.   +2 more
core   +2 more sources