A New Linearized Crank-Nicolson Mixed Element Scheme for the Extended Fisher-Kolmogorov Equation
The Scientific World Journal, 2013 We present a new mixed finite element method for solving the extended Fisher-Kolmogorov (EFK) equation. We first decompose the EFK equation as the two second-order equations, then deal with a second-order equation employing finite element method, and ...
Jinfeng Wang +4 more
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A Mixed Finite Volume Element Method for Time-Fractional Damping Beam Vibration Problem
Fractal and Fractional, 2022 In this paper, the transverse vibration of a fractional viscoelastic beam is studied based on the fractional calculus, and the corresponding scheme of a viscoelastic beam is established by using the mixed finite volume element method.
Tongxin Wang +3 more
doaj +1 more source
A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow
Journal of Applied Mathematics, 2011 We present and study a stabilized mixed finite element method for single-phase compressible flow through porous media. This method is based on a pressure projection stabilization method for multiple-dimensional incompressible flow problems by using the ...
Liyun Zhang, Zhangxin Chen
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Dual formulations of mixed finite element methods with applications [PDF]
Computer-Aided Design, 2011 Invited paper. Submitted.
Andrew Gillette, Chandrajit L. Bajaj
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Expanded Mixed Finite Element Method for the Two-Dimensional Sobolev Equation
Journal of Applied Mathematics, 2013 Expanded mixed finite element method is introduced to approximate the two-dimensional Sobolev equation. This formulation expands the standard mixed formulation in the sense that three unknown variables are explicitly treated.
Qing-li Zhao +2 more
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A Fictitious Domain Method with Mixed Finite Elements for Elastodynamics [PDF]
SIAM Journal on Scientific Computing, 2007 We consider in this paper the wave scattering problem by an object with Neumann boundary conditions in an anisotropic elastic body. To obtain an efficient numerical method (permitting the use of regular grids) we follow a fictitious domain approach coupled with a first order velocity stress formulation for elastodynamics.
Éliane Bécache +2 more
openaire +4 more sources
A Godunov-Mixed Finite Element Method on Changing Meshes for the Nonlinear Sobolev Equations
Abstract and Applied Analysis, 2012 A Godunov-mixed finite element method on changing meshes is presented to simulate the nonlinear Sobolev equations. The convection term of the nonlinear Sobolev equations is approximated by a Godunov-type procedure and the diffusion term by an expanded ...
Tongjun Sun
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Computational analysis of contamination in Kojima Lake using upwind-type finite element method [PDF]
, 1998 We have computed the phase of spreading contaminations in Kojima Lake by using the upwind-type finite element method. We have treated the two cases: the pollutant flows from the Sasagase river and from the Kurashiki River.
Sasaki, Toru +2 more
core +1 more source
Realistic computable error bounds for three dimensional finite element analyses in linear elasticity [PDF]
, 2011 We obtain a computable estimator for the energy norm of the error in piecewise affine and piecewise quadratic finite element approximations of linear elasticity in three dimensions.
Rankin, Richard Andrew Robert +1 more
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A Hybridized Mixed Approach for Efficient Stress Prediction in a Layerwise Plate Model
Mathematics, 2022 Building upon recent works devoted to the development of a stress-based layerwise model for multilayered plates, we explore an alternative finite-element discretization to the conventional displacement-based finite-element method.
Lucille Salha +3 more
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