Results 41 to 50 of about 101,709 (214)
Conservative model reduction for finite-volume models
, 2018 This work proposes a method for model reduction of finite-volume models that guarantees the resulting reduced-order model is conservative, thereby preserving the structure intrinsic to finite-volume discretizations.
Carlberg, Kevin +2 more
core +1 more source
Energy Science &Engineering, EarlyView.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 +5 more
wiley +1 more source
Wavelet Galerkin method for fractional elliptic differential equations [PDF]
, 2014 Under the guidance of the general theory developed for classical partial differential equations (PDEs), we investigate the Riesz bases of wavelets in the spaces where fractional PDEs usually work, and their applications in numerically solving fractional ...
Deng, Weihua +2 more
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Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid
International Journal for Numerical Methods in Fluids, EarlyView.This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
wiley +1 more source
Axioms, 2023 For the purpose of solving elliptic partial differential equations, we suggest a new approach using an h-adaptive local discontinuous Galerkin approximation based on Sinc points.
Omar A. Khalil, Gerd Baumann
doaj +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Stability-preserving model order reduction for linear stochastic Galerkin systems
Journal of Mathematics in Industry, 2019 Mathematical modeling often yields linear dynamical systems in science and engineering. We change physical parameters of the system into random variables to perform an uncertainty quantification.
Roland Pulch
doaj +1 more source
Adaptive Fourier-Galerkin methods
Mathematics of Computation, 2013 We study the performance of adaptive Fourier-Galerkin methods in a periodic box in R d \mathbb {R}^d with dimension d ≥ 1 d\ge 1 . These methods offer unlimited approximation power only restricted by solution and data regularity.
C. Canuto, R. H. Nochetto, VERANI, MARCO
openaire +4 more sources
Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang +2 more
wiley +1 more source
TecnoLógicas, 2008 This paper presents the solution to the problem of the distribution of the electrostatic potential in a square plate by means of the Finite Elements Method (FEM).
Jairo Madrigal-Argáez +2 more
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