Results 61 to 70 of about 12,638,036 (224)

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

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

A Phase‐Field Model for Quasi‐Dynamic Rupture Nucleation and Propagation of In‐Plane Faults

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase‐field method has recently enabled unified modeling of fault propagation and off‐fault damage within a fracture‐mechanics‐based framework ...
Fan Fei, Md Shumon Mia, Ahmed E. Elbanna, Jinhyun Choo   +3 more
wiley   +1 more source

A comparison of implicit–explicit Runge–Kutta time integration schemes in numerical solvers based on the Galerkin and Petrov–Galerkin spectral methods for two-dimensional magneto-hydrodynamic problems

Results in Applied Mathematics
The research adopts the Galerkin and Petrov–Galerkin spectral methods to analyze the effects of implicit–explicit Runge–Kutta (IMEX RK) time schemes on the stability, accuracy, precision, and efficiency of computations when used in numerical simulations ...
Anna Piterskaya, Mikael Mortensen
doaj   +1 more source

Some comparisons and analyses of time or space discontinuous Galerkin methods applied to elastic wave propagation in anisotropic and heterogeneous media

Advanced Modeling and Simulation in Engineering Sciences, 2019
This research work presents some comparisons and analyses of the time discontinuous space–time Galerkin method and the space discontinuous Galerkin method applied to elastic wave propagation in anisotropic and heterogeneous media.
Bing Tie
doaj   +1 more source

Tensor‐Based Reduction of Linear Parameter‐Varying State‐Space Models

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT The linear parameter‐varying (LPV) framework is a powerful tool for controlling nonlinear (NL) and complex systems, but the conversion of NL models into LPV forms often results in high‐dimensional and overly conservative LPV models. To be able to apply control strategies, there is often a need for model reduction in order to reduce ...
Bogoljub Terzin, E. Javier Olucha, Amritam Das, Siep Weiland, Roland Tóth   +4 more
wiley   +1 more source

-Error Estimates of the Extrapolated Crank-Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations

Journal of Inequalities and Applications, 2010
We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations.
Lee HyunYoung, Shin JunYong, Ohm MiRay
doaj  

Stabilized approximation of steady flow of third grade fluid in presence of partial slip

Results in Physics, 2017
This article presents a stable numerical solution to the steady flow of thermodynamic compatible third grade fluid past a porous plate. Problem formulation is completed through partial slip condition.
Amer Rasheed, Azka Kausar, Abdul Wahab, Tanvir Akbar   +3 more
doaj   +1 more source

Volume Quantization with Flexible Singularities for Hexahedral Meshing

Computer Graphics Forum, EarlyView.
Abstract We present a novel algorithm for quantization and subsequent hexahedral mesh generation from seamless volumetric maps. Quantization is the process of choosing integers that represent the numbers of hexahedral elements to be placed in each region of the volume, and transforming the seamless map into an integer‐grid map matching that choice ...
H. Brückler, M. Campen
wiley   +1 more source

An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type [PDF]

, 2011
We study the numerical solution of a class of parabolic integro-differential equations with weakly singular kernels. We use an $hp$-version discontinuous Galerkin (DG) method for the discretization in time.
Brunner, Hermann, Schoetzau, D, Mustapha, Kassem, Mustapha, Hussein   +3 more
core   +3 more sources