Results 1 to 10 of about 1,091,187 (280)
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj
Finite element methods for surface PDEs [PDF]
, 2013 In this article we consider finite element methods for approximating the solution of partial differential equations on surfaces. We focus on surface finite elements on triangulated surfaces, implicit surface methods using level set descriptions of the ...
Aragón +21 more
core +1 more source
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
doaj +1 more source
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
core +3 more sources
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
doaj +1 more source
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
doaj +1 more source