Results 11 to 20 of about 116,401 (264)
A Review of Finite Element Methods for Room Acoustics
Acoustics, 2023 Accurate predictions of the wave-dominated region of an acoustic field in a room can be generated using wave-based computational methods. One such method is the finite element method (FEM).
Albert G. Prinn
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A finite element method for electrowetting on dielectric [PDF]
Journal of Computational Physics, 2021 We consider the problem of electrowetting on dielectric (EWoD). The system involves the dynamics of a conducting droplet, which is immersed in another dielectric fluid, on a dielectric substrate under an applied voltage. The fluid dynamics is modeled by the two-phase incompressible Navier-Stokes equations with the standard interface conditions, the ...
Quan Zhao, Weiqing Ren
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The vortex method with finite elements [PDF]
Mathematics of Computation, 1981 This work shows that the method of charcteristics is well suited for the numerical solution of first order hyperbolic partial differential equations whose coefficients are approximated by functions piecewise constant on a finite element triangulation of the domain of integration.
Bardos, Claude +2 more
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Advances in Finite Element Method [PDF]
Mathematical Problems in Engineering, 2014 1 AML, Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing 100084, China 2 College of Engineering, Swansea University, Swansea SA2 8PP, UK 3 School of Mechanical and Aerospace Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798, Singapore 4 State Key Laboratory of Ocean Engineering ...
Cen, Song +3 more
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Recovered finite element methods [PDF]
Computer Methods in Applied Mechanics and Engineering, 2018 We introduce a family of Galerkin finite element methods which are constructed via recovery operators over element-wise discontinuous approximation spaces. This new family, termed collectively as recovered finite element methods (R-FEM) has a number of attractive features over both classical finite element and discontinuous Galerkin approaches, most ...
Georgoulis, Emmanuil H., Pryer, Tristan
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Finite Element Iterative Methods for the 3D Steady Navier--Stokes Equations
Entropy, 2021 In this work, a finite element (FE) method is discussed for the 3D steady Navier–Stokes equations by using the finite element pair Xh×Mh. The method consists of transmitting the finite element solution (uh,ph) of the 3D steady Navier–Stokes equations ...
Yinnian He
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Quasi-3-D spectral wavelet method for a thermal quench simulation
Journal of Mathematics in Industry, 2021 The finite element method is widely used in simulations of various fields. However, when considering domains whose extent differs strongly in different spatial directions a finite element simulation becomes computationally very expensive due to the large
Jonas Bundschuh +2 more
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Extended group finite element method [PDF]
Applied Numerical Mathematics, 2021 Interpolation methods for nonlinear finite element discretizations are commonly used to eliminate the computational costs associated with the repeated assembly of the nonlinear systems. While the group finite element formulation interpolates nonlinear terms onto the finite element approximation space, we propose the use of a separate approximation ...
Kevin Tolle, Nicole Marheineke
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Constrained C0 Finite Element Methods for Biharmonic Problem
Abstract and Applied Analysis, 2012 This paper presents some constrained C0 finite element approximation methods for the biharmonic problem, which include the C0 symmetric interior penalty method, the C0 nonsymmetric interior penalty method, and the C0 nonsymmetric superpenalty method.
Rong An, Xuehai Huang
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Continuous Finite Element Methods of Molecular Dynamics Simulations
Modelling and Simulation in Engineering, 2015 Molecular dynamics simulations are necessary to perform very long integration times. In this paper, we discuss continuous finite element methods for molecular dynamics simulation problems.
Qiong Tang, Luohua Liu, Yujun Zheng
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