Fully implicit mixed-hybrid finite-element discretization for general purpose subsurface reservoir simulation

Journal of Computational Physics ◽

10.1016/j.jcp.2017.06.034 ◽

2017 ◽

Vol 346 ◽

pp. 514-538 ◽

Author(s):

Ahmad S. Abushaikha ◽

Denis V. Voskov ◽

Hamdi A. Tchelepi

Keyword(s):

Finite Element ◽

Reservoir Simulation ◽

General Purpose ◽

Finite Element Discretization ◽

Element Discretization ◽

Hybrid Finite Element ◽

Mixed Hybrid Finite Element ◽

Fully Implicit ◽

Subsurface Reservoir

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Fully Implicit Mixed Hybrid Finite-Element Formulation for General-Purpose Compositional Reservoir Simulation

10.2118/182697-ms ◽

2017 ◽

Author(s):

Ahmad S. Abushaikha ◽

Denis V. Voskov ◽

Hamdi A. Tchelepi

Keyword(s):

Finite Element ◽

Reservoir Simulation ◽

General Purpose ◽

Finite Element Formulation ◽

Element Formulation ◽

Hybrid Finite Element ◽

Mixed Hybrid Finite Element ◽

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A Mixed Hybrid Finite Element Discretization Scheme for Reactive Transport in Porous Media

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-69777-0_61 ◽

2008 ◽

pp. 513-520 ◽

Author(s):

F. A. Radu ◽

M. Bause ◽

A. Prechtel ◽

S. Attinger

Keyword(s):

Finite Element ◽

Porous Media ◽

Reactive Transport ◽

Discretization Scheme ◽

Finite Element Discretization ◽

Element Discretization ◽

Hybrid Finite Element ◽

Transport In Porous Media ◽

Mixed Hybrid Finite Element

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Mixed Hybrid Finite-element Formulation for General Purpose Reservoir Simulation

ECMOR XV - 15th European Conference on the Mathematics of Oil Recovery ◽

10.3997/2214-4609.201601785 ◽

2016 ◽

Author(s):

A.S. Abushaikha ◽

D.V. Voskov ◽

H.A. Tchelepi

Keyword(s):

Finite Element ◽

Reservoir Simulation ◽

General Purpose ◽

Finite Element Formulation ◽

Element Formulation ◽

Hybrid Finite Element ◽

Mixed Hybrid Finite Element

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A fully implicit mimetic finite difference scheme for general purpose subsurface reservoir simulation with full tensor permeability

Journal of Computational Physics ◽

10.1016/j.jcp.2019.109194 ◽

2020 ◽

Vol 406 ◽

pp. 109194 ◽

Author(s):

Ahmad S. Abushaikha ◽

Kirill M. Terekhov

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Reservoir Simulation ◽

Finite Difference Scheme ◽

General Purpose ◽

Fully Implicit ◽

Tensor Permeability ◽

Subsurface Reservoir

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An adaptive BDDC preconditioner for advection-diffusion problems with a stabilized finite element discretization

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.02.012 ◽

2021 ◽

Vol 165 ◽

pp. 184-197

Author(s):

Jie Peng ◽

Shi Shu ◽

Junxian Wang ◽

Liuqiang Zhong

Keyword(s):

Finite Element ◽

Finite Element Discretization ◽

Element Discretization ◽

Stabilized Finite Element ◽

Advection Diffusion ◽

Diffusion Problems

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Two grid finite element discretization method for semi‐linear hyperbolic integro‐differential equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22370 ◽

2019 ◽

Vol 35 (5) ◽

pp. 1676-1693

Author(s):

Luoping Chen ◽

Yanping Chen ◽

Yunqing Huang

Keyword(s):

Finite Element ◽

Differential Equations ◽

Discretization Method ◽

Finite Element Discretization ◽

Element Discretization

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A Discontinuous Phase-Space Finite Element Discretization of the Linear Boltzmann-Vlasov Equation for Charged Particle Transport

Journal of Computational and Theoretical Transport ◽

10.1080/00411450.2014.910230 ◽

2014 ◽

Vol 43 (1-7) ◽

pp. 128-147 ◽

Author(s):

Shawn D. Pautz ◽

Clif Drumm ◽

Wesley C. Fan ◽

C. David Turner

Keyword(s):

Finite Element ◽

Charged Particle ◽

Phase Space ◽

Vlasov Equation ◽

Particle Transport ◽

Finite Element Discretization ◽

Element Discretization ◽

Discontinuous Phase ◽

Charged Particle Transport

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On the existence and stability conditions for mixed-hybrid finite element solutions based on Reissner’s variational principle

International Journal of Solids and Structures ◽

10.1016/0020-7683(85)90107-6 ◽

1985 ◽

Vol 21 (1) ◽

pp. 97-116 ◽

Author(s):

W-M. Xue ◽

L.A. Karlovitz ◽

S.N. Atluri

Keyword(s):

Finite Element ◽

Variational Principle ◽

Stability Conditions ◽

Hybrid Finite Element ◽

Mixed Hybrid Finite Element ◽

Existence And Stability

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Local error estimates for finite element discretization of the Stokes equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1995290303671 ◽

1995 ◽

Vol 29 (3) ◽

pp. 367-389 ◽

Author(s):

Douglas N. Arnold ◽

Liu Xiaobo

Keyword(s):

Finite Element ◽

Error Estimates ◽

Stokes Equations ◽

Local Error ◽

Finite Element Discretization ◽

Element Discretization

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Finite element discretization of non-linear diffusion equations with thermal fluctuations

The Journal of Chemical Physics ◽

10.1063/1.4913746 ◽

2015 ◽

Vol 142 (9) ◽

pp. 094115 ◽

Author(s):

J. A. de la Torre ◽

Pep Español ◽

Aleksandar Donev

Keyword(s):

Finite Element ◽

Thermal Fluctuations ◽

Diffusion Equations ◽

Finite Element Discretization ◽

Linear Diffusion ◽

Element Discretization ◽

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