Results 11 to 20 of about 117,310 (166)
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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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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Poly-Spline Finite-Element Method [PDF]
ACM Transactions on Graphics, 2019 We introduce an integrated meshing and finite-element method pipeline enabling solution of partial differential equations in the volume enclosed by a boundary representation. We construct a hybrid hexahedral-dominant mesh, which contains a small number of star-shaped polyhedra, and build a set of high-order bases on its elements, combining triquadratic
Teseo Schneider +5 more
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A Nodal Immersed Finite Element-Finite Difference Method
SSRN Electronic Journal, 2022 The immersed finite element-finite difference (IFED) method is a computational approach to modeling interactions between a fluid and an immersed structure. The IFED method uses a finite element (FE) method to approximate the stresses, forces, and structural deformations on a structural mesh and a finite difference (FD) method to approximate the ...
David R. Wells +3 more
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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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The finite element method with penalty [PDF]
Mathematics of Computation, 1973 An application of the penalty method to the finite element method is analyzed. For a model Poisson equation with homogeneous Dirichlet boundary conditions, a variational principle with penalty is discussed. This principle leads to the solution of the Poisson equation by using functions that do not satisfy the boundary condition. The rate of convergence
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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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