Results 71 to 80 of about 702,196 (224)

Genetic algorithm-based calibration of reduced order galerkin models

Mathematical Modelling and Analysis, 2011
Low-dimensional models, allowing quick prediction of fluid behaviour, are key enablers of closed-loop flow control. Reduction of the model's dimension and inconsistency of high-fidelity data set and the reduced-order formulation lead to the decrease of ...
Witold Stankiewicz, Robert Roszaka, Marek Morzyńskia   +2 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, EarlyView.
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

hp-Version discontinuous Galerkin finite element methods for semilinear parabolic problems [PDF]

, 2003
We consider the hp-version interior penalty discontinuous Galerkin finite element method (hp-DGFEM) for semilinear parabolic equations with mixed Dirichlet and Neumann boundary conditions. Our main concern is the error analysis of the hp--DGFEM on shape--
Lasis, Andris, Suli, Endre
core   +3 more sources

Fourier series approximation for the Cauchy singular integral equation

Journal of Numerical Analysis and Approximation Theory, 2018
Using the Fourier series as a projection in the Galerkin method, we approach the solution of the Cauchy singular integral equation. This study is carried in \(L^2\). Numerical examples are developped to show the effectiveness of this method.
Hamid Boulares, Hamza Guebbai, Amira Arbaoui   +2 more
doaj   +2 more sources

Reduced order models for thermally coupled low Mach flows

Advanced Modeling and Simulation in Engineering Sciences, 2018
In this paper we present a collection of techniques used to formulate a projection-based reduced order model (ROM) for zero Mach limit thermally coupled Navier–Stokes equations. The formulation derives from a standard proper orthogonal decomposition (POD)
Ricardo Reyes, Ramon Codina, Joan Baiges, Sergio Idelsohn   +3 more
doaj   +1 more source

Numerical study of electromagnetic wave scattering from a non-homogeneous solid and curvilinear perfectly conducting screen

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023
Background. The purpose of the work is development, software implementation and testing of a projection method and a parallel algorithm for solving the problem of electromagnetic wave diffraction on a system of solids and screens.
Oleg S. Skvortsov, Aleksey A. Tsupak
doaj   +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, EarlyView.
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

Suppressing thermalization and constructing weak solutions in truncated inviscid equations of hydrodynamics: Lessons from the Burgers equation

Physical Review Research, 2020
Finite-dimensional, inviscid equations of hydrodynamics, obtained through a Fourier-Galerkin projection, thermalize with an energy equipartition. Hence, numerical solutions of such inviscid equations, which typically must be Galerkin-truncated, show a ...
Sugan Durai Murugan, Uriel Frisch, Sergey Nazarenko, Nicolas Besse, Samriddhi Sankar Ray   +4 more
doaj   +1 more source

Convergence Analysis and Cost Estimate of an MLMC-HDG Method for Elliptic PDEs with Random Coefficients

Mathematics, 2021
We considered an hybridizable discontinuous Galerkin (HDG) method for discrete elliptic PDEs with random coefficients. By an approach of projection, we obtained the error analysis under the assumption that a(ω,x) is uniformly bounded.
Meng Li, Xianbing Luo
doaj   +1 more source

An Efficient Method for Transient Temperature Calculation in Oil Natural Transformers Based on the Time‐Space Proper Orthogonal Decomposition

High Voltage, EarlyView.
ABSTRACT A reduced‐order model (ROM) for the temperature field based on time‐space proper orthogonal decomposition (POD) is presented to improve the computational efficiency of transient temperature rise in oil‐immersed power transformers with a complete oil natural convection cooling loop.
Haijuan Lan, Wenhu Tang, Zeyi Zhang, Jiahao Gong, Xiongwen Xu, Goran Strbac   +5 more
wiley   +1 more source