Results 111 to 120 of about 73,174 (233)

Galerkin metodu

, 2021
In this study, we showed Banach space operator in the implementation of equations Galerkin approximate solution method. In here we gave some notions and definitions. Especially, we showed the convergence of Galerkin's approximations implementation of the Galerkin series.
openaire   +1 more source

Methods Based on Polynomial Chaos for Quadratic Delay Differential Equations With Random Parameters

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT We consider systems of delay differential equations (DDEs), including a single delay and a quadratic right‐hand side. In a system, parameters are replaced by random variables to perform an uncertainty quantification. Thus the solution of the DDEs becomes a random process, which can be represented by a series of the generalised polynomial chaos.
Roland Pulch
wiley   +1 more source

Stability and Instability of Time‐Domain Boundary Element Methods for the Acoustic Neumann Problem

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT This work presents a stable time‐domain boundary element method for the acoustic wave equation in three‐dimensional unbounded domains. Other formulations of time‐domain boundary element methods based on retarded potential operators are known to exhibit stability issues, which often hinder their use in industrial contexts.
Simon Schneider, Ceyhun Özdemir, Heiko Gimperlein, Karsten Urban, Bernd Graf   +4 more
wiley   +1 more source

An adaptive scheme for the optimization of damping positions by decoupling controllability spaces in vibrational systems

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 3, March 2026.
Abstract In this work, the problem of optimizing damper positions in vibrational systems is investigated. The objective is to determine the positions of external dampers in such a way that the influence of the input on the output is minimized. The energy response serves as an optimization criterion, whose computation involves solving Lyapunov equations.
J. Przybilla, M. Ugrica Vukojević, N. Truhar, P. Benner   +3 more
wiley   +1 more source

An efficient semi‐analytical approach for the free vibration behavior of DWCNTs on elastic foundations based on nonlocal elasticity theory

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 3, March 2026.
Abstract In this study, a comprehensive analytical framework is developed to investigate the free vibration behavior of double‐walled carbon nanotubes (DWCNTs) resting on an elastic foundation, based on Eringen's nonlocal elasticity theory. The DWCNTs are modeled as two coupled Euler–Bernoulli (EB) beams, explicitly incorporating intertube van der ...
Ayşegül Tepe
wiley   +1 more source

Galerkin Methods

Scholarpedia, 2010
O. P. Le Maître, O. M. Knio
openaire   +2 more sources

The Climate Modeling Alliance Atmosphere Dynamical Core: Concepts, Numerics, and Scaling

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 3, March 2026.
Abstract This paper presents the dynamical core of the Climate Modeling Alliance (CliMA) atmosphere model, designed for efficient simulation of a wide range of atmospheric flows across scales. The core uses the nonhydrostatic equations of motion for a deep atmosphere, discretized with a hybrid approach that combines a spectral element method (SEM) in ...
Dennis Yatunin, Simon Byrne, Charles Kawczynski, Sriharsha Kandala, Gabriele Bozzola, Akshay Sridhar, Zhaoyi Shen, Anna Jaruga, Julia Sloan, Jia He, Daniel Zhengyu Huang, Valeria Barra, Ray Chew, Anudhyan Boral, Yi‐fan Chen, Oswald Knoth, Paul Ullrich, Cheikh Mbengue, Tapio Schneider   +18 more
wiley   +1 more source

Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

SIAM Journal on Numerical Analysis, 2001
D. Arnold, F. Brezzi, Bernardo Cockburn, L. D. Marini   +3 more
semanticscholar   +1 more source

Localized Threats: How Ground Conductivity Shapes the Geoelectric Response

Space Weather, Volume 24, Issue 3, March 2026.
Abstract Geomagnetic storms can induce strong geoelectric fields in the ground. These fields drive geomagnetically induced currents in technological conductor systems, such as power grids. In this study, we analyze 4‐hr periods of two such major geomagnetic storms: the Halloween storm (29–31 October 2003) and the 7–8 September 2017 storm.
M. Kellinsalmi, E. Marshalko, L. Juusola, A. Viljanen   +3 more
wiley   +1 more source

Spectral Galerkin Methods for Riesz Space-Fractional Convection–Diffusion Equations

Fractal and Fractional
This paper applies the spectral Galerkin method to numerically solve Riesz space-fractional convection–diffusion equations. Firstly, spectral Galerkin algorithms were developed for one-dimensional Riesz space-fractional convection–diffusion equations ...
Xinxia Zhang, Jihan Wang, Zhongshu Wu, Zheyi Tang, Xiaoyan Zeng   +4 more
doaj   +1 more source