Results 21 to 30 of about 15,098,358 (286)
A stabilized hybrid mixed finite element method for poroelasticity [PDF]
Computational Geosciences, 2020 In this work, we consider a hybrid mixed finite element method for Biot's model. The hybrid P1-RT0-P0 discretization of the displacement-pressure-Darcy's velocity system of Biot's model presented in \cite{C. Niu} is not uniformly stable with respect to the physical parameters, resulting in some issues in numerical simulations.
Chunyan Niu, Hongxing Rui, Xiaozhe Hu
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Explicit Multistep Mixed Finite Element Method for RLW Equation
Abstract and Applied Analysis, 2013 An explicit multistep mixed finite element method is proposed and discussed for regularized long wave (RLW) equation. The spatial direction is approximated by the mixed Galerkin method using mixed linear space finite elements, and the time direction is ...
Yang Liu +3 more
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The Mixed Finite Element Multigrid Method for Stokes Equations
The Scientific World Journal, 2015 The stable finite element discretization of the Stokes problem produces a symmetric indefinite system of linear algebraic equations. A variety of iterative solvers have been proposed for such systems in an attempt to construct efficient, fast, and robust
K. Muzhinji, S. Shateyi, S. S. Motsa
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A Multiscale Mortar Mixed Finite Element Method [PDF]
Multiscale Modeling & Simulation, 2007 We develop multiscale mortar mixed finite element discretizations for second order elliptic equations. The continuity of flux is imposed via a mortar finite element space on a coarse grid scale, while the equations in the coarse elements (or subdomains) are discretized on a fine grid scale.
Todd Arbogast +3 more
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A stabilized mixed finite element method for convection-diffusion-reaction equations
四川大学学报. 自然科学版, 2023 In this paper, we propose a stabilized finite element for the convection-diffusion-reaction equations. This finite element combines the mixed finite element with the least-squares method.
YANG Xing-Yue +2 more
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An augmented mixed finite element method for nonlinear elasticity problems
四川大学学报. 自然科学版, 2021 This paper introduces and analyses a full augmented mixed finite element method for the nonlinear elasticity problems with strongly imposed symmetry stress tensor.
ZHANG Tian-Tian, ZHANG Bai-Ju
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Mixed Integration Scheme for Embedded Discontinuous Interfaces by Extended Finite Element Method
Frontiers in Earth Science, 2022 The extended Finite Element Method (XFEM) is derived from the traditional finite element method for discontinuous problems. It can simulate the behavior of cracks, which significantly improves the ability of finite element methods to simulate ...
Peng Yu +4 more
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An optimal adaptive mixed finite element method [PDF]
Mathematics of Computation, 2010 Various applications in fluid dynamics and computational continuum mechanics motivate the development of reliable and efficient adaptive algorithms for mixed finite element methods. In order to save degrees of freedom, not all but just a selection of finite element domains are refined.
Carsten Carstensen, Hella Rabus
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Selecciones Matemáticas, 2023 We revisit the celebrated Kohn-Vogelius penalty method and discuss how to use it for the unique continuation problem where data is given in the bulk of the domain.
Erik Burman
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A mixed discontinuous/continuous finite element pair for shallow-water ocean modelling [PDF]
, 2008 18.02.14 KB. Ok to add accepted version to spiral, Elsevier says ok while mandate not enforced.We introduce a mixed discontinuous/continuous finite element pair for ocean modelling, with continuous quadratic layer thickness and discontinuous velocity. We
Cotter, CJ +5 more
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