Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9)

K. Kumar; I.S. Pop; F.A. Radu

doi:10.1007/978-3-642-33134-3_74

Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9)

K. Kumar
, I.S. Pop
, F.A. Radu

Center for Analysis, Scientific Computing and Applications

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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In this paper, we discuss some numerical schemes for an upscaled (core scale) model describing the transport, precipitation and dissolution of solutes in a porous medium. We consider two weak formulations, conformal and mixed. We discuss the time discretization in both formulations and prove the convergence of the resulting schemes. A numerical study is presented for the mixed formulation.

Originele taal-2	Engels
Titel	Numerical Mathematics and Advanced Applications 2011 (Proceedings of ENUMATH 2011, Leicester, UK, September 5-9, 2011)
Redacteuren	A. Cangiani, R.L. Davidchack, E. Georgoulis, A.N. Gorban, J. Levesley, M.V. Tretyakov
Plaats van productie	Berlin
Uitgeverij	Springer
Pagina's	703-711
ISBN van geprinte versie	978-3-642-33133-6
DOI's	https://doi.org/10.1007/978-3-642-33134-3_74
Status	Gepubliceerd - 2011
Evenement	European Conference on Numerical Mathematics and Advanced Applications : ENUMATH 2011 - University of Leicester, Leicester, Verenigd Koninkrijk Duur: 5 sep. 2011 → 9 sep. 2011 Congresnummer: 9

Congres

Congres	European Conference on Numerical Mathematics and Advanced Applications
Verkorte titel	ENUMATH 2011
Land/Regio	Verenigd Koninkrijk
Stad	Leicester
Periode	5/09/11 → 9/09/11
Ander	9th European Conference on Numerical Mathematics and Advanced Applications

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Kumar, K., Pop, I. S., & Radu, F. A. (2011). Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9). In A. Cangiani, R. L. Davidchack, E. Georgoulis, A. N. Gorban, J. Levesley, & M. V. Tretyakov (editors), Numerical Mathematics and Advanced Applications 2011 (Proceedings of ENUMATH 2011, Leicester, UK, September 5-9, 2011) (blz. 703-711). Springer. https://doi.org/10.1007/978-3-642-33134-3_74

Kumar, K. ; Pop, I.S. ; Radu, F.A. / Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9). Numerical Mathematics and Advanced Applications 2011 (Proceedings of ENUMATH 2011, Leicester, UK, September 5-9, 2011). redacteur / A. Cangiani ; R.L. Davidchack ; E. Georgoulis ; A.N. Gorban ; J. Levesley ; M.V. Tretyakov. Berlin : Springer, 2011. blz. 703-711

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title = "Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9)",

abstract = "In this paper, we discuss some numerical schemes for an upscaled (core scale) model describing the transport, precipitation and dissolution of solutes in a porous medium. We consider two weak formulations, conformal and mixed. We discuss the time discretization in both formulations and prove the convergence of the resulting schemes. A numerical study is presented for the mixed formulation.",

author = "K. Kumar and I.S. Pop and F.A. Radu",

year = "2011",

doi = "10.1007/978-3-642-33134-3\_74",

language = "English",

isbn = "978-3-642-33133-6",

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editor = "A. Cangiani and R.L. Davidchack and E. Georgoulis and A.N. Gorban and J. Levesley and M.V. Tretyakov",

booktitle = "Numerical Mathematics and Advanced Applications 2011 (Proceedings of ENUMATH 2011, Leicester, UK, September 5-9, 2011)",

publisher = "Springer",

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note = "European Conference on Numerical Mathematics and Advanced Applications : ENUMATH 2011, ENUMATH 2011 ; Conference date: 05-09-2011 Through 09-09-2011",

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Kumar, K, Pop, IS & Radu, FA 2011, Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9). in A Cangiani, RL Davidchack, E Georgoulis, AN Gorban, J Levesley & MV Tretyakov (reds.), Numerical Mathematics and Advanced Applications 2011 (Proceedings of ENUMATH 2011, Leicester, UK, September 5-9, 2011). Springer, Berlin, blz. 703-711, European Conference on Numerical Mathematics and Advanced Applications , Leicester, Verenigd Koninkrijk, 5/09/11. https://doi.org/10.1007/978-3-642-33134-3_74

Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9). / Kumar, K.; Pop, I.S.; Radu, F.A.
Numerical Mathematics and Advanced Applications 2011 (Proceedings of ENUMATH 2011, Leicester, UK, September 5-9, 2011). reds. / A. Cangiani; R.L. Davidchack; E. Georgoulis; A.N. Gorban; J. Levesley; M.V. Tretyakov. Berlin: Springer, 2011. blz. 703-711.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

TY - GEN

T1 - Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9)

AU - Kumar, K.

AU - Pop, I.S.

AU - Radu, F.A.

N1 - Conference code: 9

PY - 2011

Y1 - 2011

N2 - In this paper, we discuss some numerical schemes for an upscaled (core scale) model describing the transport, precipitation and dissolution of solutes in a porous medium. We consider two weak formulations, conformal and mixed. We discuss the time discretization in both formulations and prove the convergence of the resulting schemes. A numerical study is presented for the mixed formulation.

AB - In this paper, we discuss some numerical schemes for an upscaled (core scale) model describing the transport, precipitation and dissolution of solutes in a porous medium. We consider two weak formulations, conformal and mixed. We discuss the time discretization in both formulations and prove the convergence of the resulting schemes. A numerical study is presented for the mixed formulation.

U2 - 10.1007/978-3-642-33134-3_74

DO - 10.1007/978-3-642-33134-3_74

M3 - Conference contribution

SN - 978-3-642-33133-6

SP - 703

EP - 711

BT - Numerical Mathematics and Advanced Applications 2011 (Proceedings of ENUMATH 2011, Leicester, UK, September 5-9, 2011)

A2 - Cangiani, A.

A2 - Davidchack, R.L.

A2 - Georgoulis, E.

A2 - Gorban, A.N.

A2 - Levesley, J.

A2 - Tretyakov, M.V.

PB - Springer

CY - Berlin

T2 - European Conference on Numerical Mathematics and Advanced Applications

Y2 - 5 September 2011 through 9 September 2011

ER -

Kumar K, Pop IS, Radu FA. Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9). In Cangiani A, Davidchack RL, Georgoulis E, Gorban AN, Levesley J, Tretyakov MV, redacteurs, Numerical Mathematics and Advanced Applications 2011 (Proceedings of ENUMATH 2011, Leicester, UK, September 5-9, 2011). Berlin: Springer. 2011. blz. 703-711 doi: 10.1007/978-3-642-33134-3_74

Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9)

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