DOI: 10.1016/s0096-3003(96)00309-8. Multiquadric method for the numerical solution of a biphasic mixture model

Multiquadric method for the numerical solution of a biphasic mixture model

10.1016/s0096-3003(96)00309-8

Crossref journal-article

Elsevier BV

Applied Mathematics and Computation (78)

Bibliography

Hon, Y. C., Lu, M. W., Xue, W. M., & Zhu, Y. M. (1997). Multiquadric method for the numerical solution of a biphasic mixture model. Applied Mathematics and Computation, 88(2â3), 153â175.

Authors 4

Y.C. Hon (first)
M.W. Lu (additional)
W.M. Xue (additional)
Y.M. Zhu (additional)

References 21 Referenced 85

10.1016/0045-7949(90)90067-C / Comp. Struct. / Formulation and evaluation of a finite element model for the biphasic model of hydrated soft tissues by Spilker (1990)
10.1002/nme.1620320704 / Int. J. Num. Meth. / A penalty finite element analysis for nonlinear mechanics of biphasic hydrated soft tissues under large deformation by Suh (1991)
10.1016/0021-9290(76)90071-3 / Biomech. / On the fundamental fluid transport mechanisms through normal and pathological articular cartilage by Torzilli (1976)
10.1115/1.3554924 / ASME J. Lubr. Technol. Trans. / The role of lubrication in biomechanical joints by Mow (1969)
10.1115/1.3138565 / ASME J. Biomech. Eng. / Structural models for human spinal motion segments based on a poroelastic view of the intervertebral disk by Simon (1985)
{'key': '10.1016/S0096-3003(96)00309-8_BIB6', 'first-page': '681', 'article-title': 'Electromechanical potentials in cortical bone, Part 1: A continuum approach', 'volume': '20', 'author': 'Salzetein', 'year': '1987', 'journal-title': 'Biomech.'} / Biomech. / Electromechanical potentials in cortical bone, Part 1: A continuum approach by Salzetein (1987)
{'key': '10.1016/S0096-3003(96)00309-8_BIB7', 'series-title': 'Advances in Bioengineering', 'first-page': '623', 'article-title': 'A poroelastic model for the trabecular embryonic heart', 'author': 'Taber', 'year': '1992'} / Advances in Bioengineering / A poroelastic model for the trabecular embryonic heart by Taber (1992)
10.1007/BF02547926 / Bull. Math. Biol. / A mathematical model of water flux through aortic tissue by Kenyon (1979)
10.1016/0021-9290(87)90147-3 / Biomech. / A mixture approach to the mechanics of skin by Oomens (1982)
10.1115/1.2895793 / ASME J. Biomech. Eng. / A biphasic poroelastic analysis of the flow dependent subcutaneous tissue pressure and compaction due to epidermal loadings: issues in pressure core by Mak (1994)
10.1243/PIME_PROC_1991_205_286_02 / Eng. Medicine / Finite element analysis of repaired articular surfaces by Wayne (1992)
{'key': '10.1016/S0096-3003(96)00309-8_BIB12', 'first-page': '465', 'article-title': 'A new penalty formulation for the numerical solution of biphasic mixture model', 'volume': '4', 'author': 'Hon', 'year': '1996', 'journal-title': 'J. Neural, Parallel & Scientific Computations'} / J. Neural, Parallel & Scientific Computations / A new penalty formulation for the numerical solution of biphasic mixture model by Hon (1996)
10.1029/JB076i008p01905 / Geophys. Res. / Multiquadric equations of topography and other irregular surfaces by Hardy (1971)
{'key': '10.1016/S0096-3003(96)00309-8_BIB14', 'first-page': '181', 'article-title': 'Scattered data interpolation: test of some methods', 'volume': '38', 'author': 'Franke', 'year': '1982', 'journal-title': 'Math. Comput.'} / Math. Comput. / Scattered data interpolation: test of some methods by Franke (1982)
10.1016/0898-1221(90)90271-K / Computers Math. Applic. / Multiquadrics—a scattered data approximation scheme with applications to computational fluid dynamics—II. Solution to parabolic, hyperbolic and elliptic partial differential equations by Kansa (1990)
10.1016/0021-9290(84)90031-9 / Biomech. / Fluid transport and mechanical properties of articular cartilage: A review by Mow (1984)
{'key': '10.1016/S0096-3003(96)00309-8_BIB17', 'article-title': "A parameter study of Hardy's multiquadric method for scattered data interpolation", 'author': 'Tarwater', 'year': '1985', 'journal-title': 'UCRL-54670'} / UCRL-54670 / A parameter study of Hardy's multiquadric method for scattered data interpolation by Tarwater (1985)
10.1016/0898-1221(92)90175-H / Computers Math. Applic. / Miscellaneous error bounds for multiquadric and related interpolators by Madych (1992)
10.1016/0096-3003(94)90099-X / Appl. Math. Comput. / On a method of Atkinson for evaluating domain integrals in the boundary element method by Golberg (1994)
10.1137/0722040 / SIAM J. Numer. Anal. / Fundamental solutions method for elliptic boundary value problems by Bogomonly (1985)
{'key': '10.1016/S0096-3003(96)00309-8_BIB21', 'article-title': 'Delta-trigonomeric and spline methods using the single-layer potential representation', 'author': 'Cheng', 'year': '1987'} / Delta-trigonomeric and spline methods using the single-layer potential representation by Cheng (1987)

Dates

Type	When
Created	22 years, 4 months ago (April 23, 2003, 11 a.m.)
Deposited	6 years, 4 months ago (April 11, 2019, 10:22 p.m.)
Indexed	11 months, 1 week ago (Sept. 20, 2024, 11:32 a.m.)
Issued	27 years, 9 months ago (Dec. 1, 1997)
Published	27 years, 9 months ago (Dec. 1, 1997)
Published Print	27 years, 9 months ago (Dec. 1, 1997)

Funders 0

None

BibTeX

@article{Hon_1997, title={Multiquadric method for the numerical solution of a biphasic mixture model}, volume={88}, ISSN={0096-3003}, url={http://dx.doi.org/10.1016/s0096-3003(96)00309-8}, DOI={10.1016/s0096-3003(96)00309-8}, number={2–3}, journal={Applied Mathematics and Computation}, publisher={Elsevier BV}, author={Hon, Y.C. and Lu, M.W. and Xue, W.M. and Zhu, Y.M.}, year={1997}, month=dec, pages={153–175} }

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