Results 11 to 20 of about 1,085,281 (280)
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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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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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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Convergence of Adaptive Finite Element Methods [PDF]
, 2002 Adaptive finite element methods (FEMs) have been widely used in applications for over 20 years now. In practice, they converge starting from coarse grids, although no mathematical theory has been able to prove this assertion.
Morin, Pedro +2 more
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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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Efficient Galerkin finite element methods for a time-fractional Cattaneo equation
Advances in Difference Equations, 2020 In this paper, we develop two efficient fully discrete schemes for solving the time-fractional Cattaneo equation, where the fractional derivative is in the Caputo sense with order in ( 1 , 2 ] $(1, 2]$ .
An Chen, Lijuan Nong
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Stable finite element methods for the Stokes problem
International Journal of Mathematics and Mathematical Sciences, 2000 The mixed finite element scheme of the Stokes problem with pressure stabilization is analyzed for the cross-grid Pk−Pk−1elements, k≥1, using discontinuous pressures. The Pk+−Pk−1 elements are also analyzed.
Yongdeok Kim, Sungyun Lee
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Numerical integration for high order pyramidal finite elements [PDF]
, 2010 We examine the effect of numerical integration on the convergence of high order pyramidal finite element methods. Rational functions are indispensable to the construction of pyramidal interpolants so the conventional treatment of numerical integration ...
Nigam, Nilima, Phillips, Joel
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Finite difference and finite element methods for partial differential equations on fractals
Revista Integración, 2022 In this paper, we present numerical procedures to compute solutions of partial differential equations posed on fractals. In particular, we consider the strong form of the equation using standard graph Laplacian matrices and also weak forms of the ...
Luis F. Contreras H., Juan Galvis
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Virtual Enriching Operators [PDF]
, 2019 We construct bounded linear operators that map $H^1$ conforming Lagrange finite element spaces to $H^2$ conforming virtual element spaces in two and three dimensions.
Brenner, Susanne C., Sung, Li-yeng
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