Fernando Guevara Vasquez's homepage
Manuscripts in preparation
- M. Bentley, F. Guevara Vasquez, Active exterior cloaking for the Maxwell equations.
- F. Guevara Vasquez, L. Kunyansky, Direction dependent active exterior cloaking.
Manuscripts in review
- P. Bardsley, F. Guevara Vasquez, Restarted inverse Born series for the Schroedinger problem with discrete internal measurements, submitted to Inverse Problems.
arXiv: arxiv:1309.7384
- A. Gondolo, F. Guevara Vasquez, Characterization and synthesis of Rayleigh damped elastodynamic networks, submitted to Networks and Heterogeneous Media.
arXiv: arxiv:1305.4961
- F. Guevara Vasquez, B. Z. Webb, Pseudospectra of isospectrally reduced matrices and systems, submitted to Numerical Linear Algebra and Applications.
arXiv: arXiv:1210.4949 [math.SP]
Publications
- J. Greenhall, F. Guevara Vasquez, B. Raeymaekers, Continuous and unconstrained manipulation of micro-particles using phase-control of bulk acoustic waves, Appl. Phys. Lett. 103, 074103 (2013).
DOI: 10.1063/1.4819031
- G. A. M. Hunter, F. Guevara Vasquez, J. P. Keener, A mathematical model and quantitative comparison of the small RNA circuit in the Vibrio harveyi and Vibrio cholerae quorum sensing systems, Physical Biology, 10 (2013), no. 4, 046007.
DOI: 10.1088/1478-3975/10/4/046007
- L. Borcea, V. Druskin, A. V. Mamonov, F. Guevara Vasquez, Study of noise effects in electrical impedance tomography with resistor networks, Inverse Problems and Imaging, 7 (2013), no. 2, 417-443.
DOI: 10.3934/ipi.2013.7.417
arXiv: arXiv:1105.1183 [math-ph]
- F. Guevara Vasquez, G. W. Milton, D. Onofrei, Mathematical analysis of the two dimensional active exterior cloaking in the quasistatic regime, Analysis and Mathematical Physics, 2 (2012), no. 3, 231-246.
DOI: 10.1007/s13324-012-0031-8
arXiv: arXiv:1109.3526 [math-ph]
- F. Guevara Vasquez, G. W. Milton, D. Onofrei, Exterior cloaking with active sources in two dimensional acoustics, Wave Motion, 48 (2011), no. 6, 515-524.
DOI: 10.1016/j.wavemoti.2011.03.005
arXiv: arXiv:1009.2038 [math-ph]
- L. Borcea, V. Druskin, A. V. Mamonov, F. Guevara Vasquez, Pyramidal resistor networks for electrical impedance tomography with partial boundary measurements, Inverse Problems, 26 105009 (2010).
DOI: 10.1088/0266-5611/26/10/105009
- F. Guevara Vasquez, G. W. Milton, D. Onofrei, Complete characterization and synthesis of the response function of elastodynamic networks, Journal of Elasticity, 102 (2010) 31—54.
DOI: 10.1007/s10659-010-9260-y
arXiv: arXiv:0911.1501 [math-ph]
- F. Guevara Vasquez, G. W. Milton, D. Onofrei, Active exterior cloaking for the 2D Laplace and Helmholtz Equations, Physical Review Letters, 103 (2009), 073901.
DOI: 10.1103/PhysRevLett.103.073901 (open access), arXiv: arXiv:0906.1544 [math-ph]
- F. Guevara Vasquez, G. W. Milton, D. Onofrei, Broadband exterior cloaking, Optics Express, 17 (2009), 14800-14805.
DOI: 10.1364/OE.17.014800 (open access), arXiv: arXiv:0907.0263 [math-ph]
- L. Borcea, F. Guevara Vasquez, G. Papanicolaou, Edge illumination and imaging of extended reflectors, SIAM Journal on Imaging Sciences, 1 (2008), no. 1, 75–114.
DOI: 10.1137/07069290X
PDF: edgeillum.pdf
- L. Borcea, V. Druskin, F. Guevara Vasquez, Electrical Impedance Tomography with Resistor Networks, Inverse Problems, 24 (2008), issue 4, 035013. (on the Inverse Problems Editorial Board Highlights for 2008).
DOI: 10.1088/0266-5611/24/3/035013
PDF: cpgeit.pdf
- L. Giraud, F. Guevara Vasquez, R. Tuminaro, Grid transfer operators for highly variable coefficient problems in two-level non-overlapping domain decomposition methods, Numerical Linear Algebra with Applications, 10 (2003), no. 5-6, 467–484.
DOI: 10.1002/nla.324
Book Chapters
- F. Guevara Vasquez, G. W. Milton, D. Onofrei, P. Seppecher, Transformation elastodynamics and active exterior cloaking, chapter in Acoustic metamaterials: Negative refraction, imaging, lensing and cloaking, Craster and Guenneau ed., Springer Series in Material Sciences, 2013.
arXiv: arXiv:1105.1221 [math-ph]
- L. Borcea, V. Druskin. F. Guevara Vasquez, A. V. Mamonov, Resistor network approaches to electrical impedance tomography, chapter in Inside Out II, MSRI publications, vol. 60, 2012.
arXiv: arXiv:1107.0343 [math-ph]
Conference Papers
- J. Wilson, N. Patwari, and F. Guevara Vasquez, Regularization Methods for Radio Tomographic Imaging, in Proc. of the 2009 Virginia Tech Wireless Symposium, Blacksburg, VA, June 2009.
PDF: RegularizationMethodsForRTI.pdf
Other Contributions
- F. Guevara Vasquez, On the parameterization of ill-posed inverse problems arising from partial elliptic differential equations, Technical report TR 06-13, Computational and Applied Mathematics Dept., Rice University, Houston, TX, 2006.
CAAM TR: 06-13
- L.M. Carvalho, L. Giraud, G. Meurant, Local preconditioners for two-level non-overlapping domain decomposition methods, Numerical Linear Algebra with Applications, 8 (2001), no.4, 207–227. (collaborated in performing the numerical experiments)
DOI: 10.1002/nla.237