Results 21 to 30 of about 116,401 (264)
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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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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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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Optimization Of Curved Plated Structures With The Finite Strip And Finite Element Methods
Transactions of the VŠB: Technical University of Ostrava, Civil Engineering Series, 2015 The aim of this study is to compare two available numerical tools for solving of partial differential equations for the optimal design of structures. In the past years numerous methods were developed for topology optimization, from these we have adopted ...
Balogh Bence, Lógó János
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Analysis of Two-Grid Characteristic Finite Element Methods for Convection-Diffusion Equations
Journal of Mathematics, 2023 In this paper, two efficient two-grid algorithms for the convection-diffusion problem with a modified characteristic finite element method are studied.
Keyan Wang, Boxia Hu
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Finite element least-squares methods for a compressible stokes system
International Journal of Mathematics and Mathematical Sciences, 2004 The least-squares functional related to a vorticity variable or a velocity flux variable is considered for two-dimensional compressible Stokes equations. We show ellipticity and continuity in an appropriate product norm for each functional.
Keehwan Kim, Sangdong Kim, Sangsik Shin
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Accurate gradient computations at interfaces using finite element methods
International Journal of Applied Mathematics and Computer Science, 2017 New finite element methods are proposed for elliptic interface problems in one and two dimensions. The main motivation is to get not only an accurate solution, but also an accurate first order derivative at the interface (from each side).
Qin Fangfang +3 more
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European Mechanical Science, 2022 In this study, the 2D steady-state seepage analysis of the dam body and its base is investigated using the finite element method based on the Galerkin’s approach.
Timuçin Alp Aslan, Beytullah Temel
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