Results 51 to 60 of about 383,945 (221)
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
Comparison of high-order methods on unstructured grids [PDF]
, 2013 A high-order Discontinuous Galerkin (DG) method is formulated and implemented on the Cranfield University’s 3D unstructured Finite Volume Method (FVM) code (UCNS3D), for both linear and non-linear hyperbolic conservation laws and for test-cases which ...
Iqbal, Kashif H.
core +3 more sources
Projection methods for stochastic structural dynamics
MATEC Web of Conferences, 2018 A set of novel hybrid projection approaches are proposed for approximating the response of stochastic partial differential equations which describe structural dynamic systems.
Pryse Sion Eilir +2 more
doaj +1 more source
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 +2 more
doaj +1 more source
An All‐At‐Once Solver for Visco‐Acoustic Full Waveform Inversion in the Time‐Domain
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Full waveform inversion (FWI) is the cutting‐edge seismic imaging technique used to reconstruct subsurface material properties such as wave velocities, mass density, and attenuation from measurements of reflected wavefields. In this article, we present the first implementation of FWI in the visco‐acoustic regime, based on a new time‐domain all‐
Christian Rheinbay, Andreas Rieder
wiley +1 more source
Comparison of implementation techniques for Galerkin projection between different meshes
, 2013 peer reviewedTo solve multiphysics problems, weak coupling of finite element calculations can be carried out: the subproblems of which the physical nature differs are solved separately on their own meshes.
Dular, Patrick +4 more
core +1 more source
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 +3 more
doaj +1 more source
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
Finite‐Difference Reduced Transfer Matrix Method for Multibody Systems With Rotating Beams
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Multibody systems with rotating beams serve as critical simplified models of core components in engineering systems; however, existing analytical and numerical methods have limitations in analyzing their complex dynamic behavior. This paper proposes the Finite‐Difference Reduced Multibody System Transfer Matrix Method (FD‐RMSTMM), which ...
Ziyao Ma +3 more
wiley +1 more source
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 +2 more
doaj +2 more sources