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110 of 87 Reviews about "
Finite Element Methods (G.1.8...)
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An adaptive finite element method for the wave scattering with transparent boundary condition
Jiang X., Li P., Lv J., Zheng W. Journal of Scientific Computing 72(3): 936956, 2017. Type: Article
Jiang et al. discuss the numerical solution of acoustic wave scattering by an obstacle in two dimensions. The problem is defined on an open domain and requires a truncation of the domain (see Givoli [1]) using one of the following wellknown metho...
Dec 14 2017
Finite difference/finite element methods for distributedorder time fractional diffusion equations
Bu W., Xiao A., Zeng W. Journal of Scientific Computing 72(1): 422441, 2017. Type: Article
Bu et al. discretize the fractional diffusion equation in time using a modified compound trapezoid formula, and the Caputo fractional derivative in space is done using the L1 method, thus obtaining an unconditionally stable semidiscrete variation...
Aug 9 2017
Advanced finite element simulation with MSC Marc: application of user subroutines
Javanbakht Z., Öchsner A., Springer International Publishing, New York, NY, 2017. 347 pp. Type: Book (9783319476674)
Commercial (and other) finite element packages give their users the option to replace some of the package’s builtin subroutines with userdefined customized versions. This feature provides great flexibility and permits, for example, enhanci...
Jul 13 2017
A weak Galerkin finite element method for a type of fourth order problem arising from fluorescence tomography
Wang C., Zhou H. Journal of Scientific Computing 71(3): 897918, 2017. Type: Article
The finite element method (FEM) was introduced by engineers [1] for the solution of partial differential equations (PDEs) and analyzed later, for example, by Ciarlet [2]....
Jul 3 2017
Finite element methods for computational fluid dynamics: a practical guide
Kuzmin D., Hämäläinen J., SIAM, Philadelphia, PA, 2014. 321 pp. Type: Book (9781611973600)
Kuzmin and Hämäläinen’s book provides a general overview of finite element methods (FEMs) when applied to computational fluid dynamics (CFD), giving a gentle introduction to these fields, a survey of recent advanced works in t...
Aug 28 2015
The equilibrium state method for hyperbolic conservation laws with stiff reaction terms
Zhang B., Liu H., Chen F., Wang J. Journal of Computational Physics 263151176, 2014. Type: Article
Zhang et al. propose a new fractionalstep method for the numerical solution of advection equations with stiff source terms. In general, it is too difficult to obtain satisfactory numerical approximate solutions for stiff reaction problems, becaus...
Oct 29 2014
Numerical integration on GPUs for higher order finite elements
Banaś K., P
aszewski P., Macio
P. Computers & Mathematics with Applications 67(6): 13191344, 2014. Type: Article
Finite element methods (FEMs) are numerical methods for finding approximate solutions to partial differential equations. When a problem is presented, a mesh and a finite element space are required to be defined. Regular choices for meshes are tetr...
Oct 22 2014
GPU acceleration of data assembly in finite element methods and its energy implications
Hu X., Hsieh G., Tang L., Hammond S., Chen D., Niemier M., Barrett R. ASAP 2013 (Proceedings of the 24th IEEE International Conference on ApplicationSpecific Systems, Architectures and Processors, Washington, DC, Jun 57, 2013) 321328, 2013. Type: Proceedings
Finite element methods are a standard tool for the numerical simulation of many phenomena in physics, engineering, and other areas. As the processes to be simulated become more and more complex, and the accuracy requirements become higher, the com...
Dec 5 2013
On convergence of the penalty method for unilateral contact problems
Chouly F., Hild P. Applied Numerical Mathematics 652740, 2013. Type: Article
Chouly and Hild consider the contact problem of an elastic 2D and 3D body. Small strains are assumed and the contact is a straight line segment in 2D and a polygon in 3D. They reformulate the variational inequality using the penalty method, and pr...
Aug 9 2013
Spectral methods: algorithms, analysis and applications
Shen J., Tang T., Wang L., Springer Publishing Company, Incorporated, New York, NY, 2011. 486 pp. Type: Book (9783540710400)
Differential equations arise in various branches of science and engineering, such as fluid and solid mechanics, biology, material sciences, economics, ecology, and computer science. Some wellknown examples include the NavierStokes equations in f...
Jan 10 2013
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