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Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 5
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Original Articles

On the variational formulation of a transmission problem for the Biot equations

Robert P. Gilbert Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USACorrespondence[email protected]
,
George C. Hsiao Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA
&
Liwei Xu Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA
Pages 745-755 | Received 29 Jan 2009, Accepted 31 Jan 2009, Published online: 21 Apr 2010

Citations (9)

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Read on this site (2)

Mischa Blaszczyk, Robert Pertsch Gilbert & Klaus Hackl. (2021) An effective model for cancellous bone with a viscous interstitial fluid *. Applicable Analysis 0:0, pages 1-12.
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Robert P. Gilbert, Philippe Guyenne & Michael Shoushani. (2016) Recovery of parameters of cancellous bone by acoustic interrogation. Inverse Problems in Science and Engineering 24:2, pages 284-316.
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Articles from other publishers (7)

Jiangming Xie, Maojun Li & Miao‐Jung Yvonne Ou. (2022) Time domain numerical modeling of wave propagation in poroelastic media with Chebyshev rational approximation of the fractional attenuation. Mathematical Methods in the Applied Sciences.
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Mischa Blaszczyk, Robert Pertsch Gilbert & Klaus Hackl. (2021) The effective equations for the ultrasonic response of wet cortical bone. Mathematical Methods in the Applied Sciences 44:11, pages 9096-9109.
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Jiangming Xie, M. Yvonne Ou & Liwei Xu. (2019) A discontinuous Galerkin method for wave propagation in orthotropic poroelastic media with memory terms. Journal of Computational Physics 397, pages 108865.
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Hua Chen, Robert P Gilbert & Philippe Guyenne. (2018) A Biot model for the determination of material parameters of cancellous bone from acoustic measurements. Inverse Problems 34:8, pages 085009.
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Robert P. Gilbert & Michael Shoushani. (2017) The Biot Model for Anisotropic Poro-Elastic Media: The Viscoelastic Fluid Case. Journal of Computational Acoustics 25:03, pages 1750012.
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Robert P. Gilbert, George C. Hsiao & Michael Shoushani. (2016) The Biot model for anisotropic poro‐elastic media. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 97:2, pages 130-143.
Crossref
Robert P. Gilbert, Ana Vasilic & Sandra Ilic. 2011. Bone Quantitative Ultrasound. Bone Quantitative Ultrasound 229 263 .

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