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A Combination Method of Mixed Multiscale Finite-Element and Laplace Transform for Flow in a Dual-Permeability System
Joint Authors
Liu, Tang-Wei
Qiu, Xue-Lin
Xu, He-Hua
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-30
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
An efficient combination method of Laplace transform and mixed multiscale finite-element method for coupling partial differential equations of flow in a dual-permeability system is present.
First, the time terms of parabolic equation with unknown pressure term are removed by the Laplace transform.
Then the transformed equations are solved by mixed FEMs which can provide the numerical approximation formulas for pressure and velocity at the same time.
With some assumptions, the multiscale basis functions are constructed by utilizing the effects of fine-scale heterogeneities through basis functions formulation computed from local flow problems.
Without time step in discrete process, the present method is efficient when solving spatial discrete problems.
At last, the associated pressure transform is inverted by the method of numerical inversion of the Laplace transform.
American Psychological Association (APA)
Liu, Tang-Wei& Xu, He-Hua& Qiu, Xue-Lin. 2012. A Combination Method of Mixed Multiscale Finite-Element and Laplace Transform for Flow in a Dual-Permeability System. ISRN Applied Mathematics،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-454110
Modern Language Association (MLA)
Liu, Tang-Wei…[et al.]. A Combination Method of Mixed Multiscale Finite-Element and Laplace Transform for Flow in a Dual-Permeability System. ISRN Applied Mathematics No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-454110
American Medical Association (AMA)
Liu, Tang-Wei& Xu, He-Hua& Qiu, Xue-Lin. A Combination Method of Mixed Multiscale Finite-Element and Laplace Transform for Flow in a Dual-Permeability System. ISRN Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-454110
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454110