11 hasil untuk "FENG Min-Fu"
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Artikel Jurnal
A deep learning method for the time-fractional diffusion equations
Under very general assumptions， standard feedforward neural networks can approximate any continuous or discontinuous function as long as the number of hidden elements in the hidden layer is large enough.Particularly， when deep learning methods are used to solve differential equations， the idea is…
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POD finite element method for reconstruction of viscous acoustic wave equations
Prestack reverse time migration is a popular method for imaging underground structures in seismic exploration. Its imaging condition requires to gather data from the source wavefield and receiver wavefield samultaneously, which means that we have to store all source wavefield data at all times of…
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Eddy viscosity method by H(div) elements for the time-dependent Navier-Stokes equations
In this paper, the authors propose a new stabilized finite element formulation for the incompressible time-dependent Navier-Stokes equations with high Reynolds number. This formulation combines subgrid eddy viscosity methods with H(div) finite element approximation, for example RT and BDM finite…
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A two-grid hybrid finite element method for the single-phase crustal stress coupling problems in porous media
In this paper， a two-grid hybrid finite element method is proposed for the coupled crustal stress problems of single-phase flow in porous media. First， the governing equation for the single-phase flow in porous media and the crustal stress problem are given， the nonlinear governing equation for the…
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Artikel Jurnal
A nonlinear local projection-based finite element method for unsteady Navier-Stokes equations
In this study, a stable local projection finite element method is derived for unsteady Navier-Stokes equations. This method is formed by local projection of advection term and pressure gradient. By using the equal-order conforming finite elements in space and implicit finite difference scheme in…
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Artikel Jurnal
A stabilized mixed finite element method for convection-diffusion-reaction equations
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. Due to the introduced least-square stability term, the selection of finite element spaces does not need to…
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Least-squares stabilized mixed finite element solution for the single-phase Darcy flow system in porous media
In this paper， the least-squares stabilized mixed finite element solution for the single-phase Darcy flow coupled with time-dependent convection-diffusion equations in porous media are investigated.First， the Darcy's equation is used to describe the velocity and pressure， the time-dependent…
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Three Grad-Div stabilized Taylor-Hood finite elelments for steady Navier-Stokes eqution
We propose three Grad-Div stabilized Taylor-Hood finite elements for the steady Navier-Stokes equation. To keep the law of mass conservation, the Grad-Div stabilized term is added to the known discrete solutions obtained with Taylor-Hood elements, so as to get continuous velocity and pressure, and…
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Artikel Jurnal
A conforming discontinuous finite element method for diffusion-reaction equations
For the primal-mixed form of the steady diffusion-reaction equation, a new conforming discontinuous finite element scheme is proposed by using the idea of discontinuous finite element method and the least-square method. Then the method is extended to the case of unsteady diffusion-reaction…
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A novel method for calculating the running ability of deformed casing
The study of passage capability of specific tools through deformed casings is significance in the production of oil and gas.In this paper， the maximum attainable length of tools with fixed cross-sectional radius in bent or deformed casing sections is considered.Based on the multi-arm wellbore data…
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Artikel Jurnal
An equal-order mixed finite element for the time fractional nonlinear parabolic equations
In this paper， we propose a k-th equal-order mixed finite element for the numerical solutions of the time fractional nonlinear parabolic equations.To obtain the fully discrete scheme of finite element， the classical L1 scheme is used in the time direction and the stabilized mixed finite element…