Results 41 to 50 of about 625,960 (181)

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

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, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

An Implicit Nodal–Staggered Finite Difference Scheme for Damped Shear Beam Models Without Rotational Inertia

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop and analyze a fully discrete finite difference approximation for a damped shear beam model with mixed boundary conditions and no rotational inertia. The absence of a second‐order time derivative in the rotational equation gives rise to an asymmetric temporal structure.
Anderson de Jesus Araújo Ramos, André Fellipe Ribeiro de Almeida, Manoel Jeremias Dos Santos, Carlos Alberto da Silva Nonato   +3 more
wiley   +1 more source

Discontinuous Galerkin Computation of the Maxwell Eigenvalues on Simplicial Meshes [PDF]

, 2005
This paper is concerned with the discontinuous Galerkin approximation of the Maxwell eigenproblem. After reviewing the theory developed in [5], we present a set of numerical experiments which both validate the theory, and provide further insight ...
Buffa, Annalisa, Houston, Paul, Perugia, Ilaria   +2 more
core  

A posteriori error estimates for a discontinuous Galerkin approximation of Steklov eigenvalue problems [PDF]

, 2017
summary:We derive a residual-based a posteriori error estimator for a discontinuous Galerkin approximation of the Steklov eigenvalue problem. Moreover, we prove the reliability and efficiency of the error estimator.
Zeng, Yuping, Wang, Feng
core   +1 more source

Preconditioning GMRES for discontinuous Galerkin approximations

Computer Assisted Methods in Engineering and Science, 2023
The paper presents an implementation and the performance of several preconditioners for the discontinuous Galerkin approximation of diffusion dominated and pure diffusion problems.
Krzysztof Banaś, Mary F. Wheeler
doaj  

Convergence of the Galerkin method in the problem of electromagnetic wave diffraction on a system of solids and curvilinear screens

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023
Background. The purpose of this study is to prove the convergence of the projection method in the problem of diffraction of electromagnetic waves by scatterers of a complex shape. Material and methods.
Aleksey A. Tsupak
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

New a posteriori error estimates for hp version of finite element methods of nonlinear parabolic optimal control problems

Journal of Inequalities and Applications, 2016
In this paper, we investigate residual-based a posteriori error estimates for the hp version of the finite element approximation of nonlinear parabolic optimal control problems.
Zuliang Lu, Hongyan Liu, Chunjuan Hou, Longzhou Cao   +3 more
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, Hanjing Lu, Caishan Liu, Xiaoting Rui   +3 more
wiley   +1 more source

Difference interior penalty discontinuous Galerkin method for the 3D elliptic equation

Results in Applied Mathematics
This paper presents a difference interior penalty discontinuous Galerkin method for the 3D elliptic boundary-value problem. The main idea of this method is to combine the finite difference discretization in the z-direction with the interior penalty ...
Jian Li, Wei Yuan, Luling Cao
doaj   +1 more source