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## Vogelius, Michael S.

Compute Distance To:
 Author ID: vogelius.michael-s Published as: Vogelius, M.; Vogelius, M. S.; Vogelius, Michael; Vogelius, Michael S. External Links: MGP · Wikidata
 Documents Indexed: 92 Publications since 1981, including 3 Books
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#### Co-Authors

 5 single-authored 11 Kohn, Robert Vita 8 Bryan, Kurt M. 6 Beretta, Elena 6 Santosa, Fadil N. 5 Babuška, Ivo 5 Capdeboscq, Yves 5 Nguyen, Hoai-Minh 4 Ammari, Habib M. 4 Friedman, Avner 3 Bonnetier, Eric 3 Moskow, Shari 3 Scott, Larkin Ridgway 3 Weinstein, Michael I. 2 Cedio-Fengya, Donna J. 2 Charnley, Matthew 2 Damlamian, Alain 2 Demkowicz, Leszek F. 2 Guo, Benqi 2 Kavian, Otared 2 Medville, Kai 2 Onofrei, Daniel 2 Uhlmann, Gunther Alberto 2 Volkov, Darko 1 Arnold, Douglas Norman 1 Bahri, Abbas 1 Ben Abdallah, Naoufel 1 Brühl, Martin 1 Conca, Carlos 1 Croke, Christopher B. 1 Dapogny, Charles 1 Falk, Rick 1 Fischer, E. 1 Fledelius, Peter 1 Francini, Elisa 1 Griesmaier, Roland 1 Guillen, Montserrat 1 Hanke-Bourgeois, Martin 1 Hansen, Derek J. 1 Heumann, Holger 1 Jensen, Stephanie 1 Kang, Hyeonbae 1 Kaup, Peter G. 1 Kim, Eunjoo 1 Klainerman, Sergiu 1 Lasiecka, Irena 1 Li, YanYan 1 Liepa, Valdis 1 Louati, Kaouthar 1 Manasevich, Raul F. 1 Miller, Alan D. 1 Mukherjee, Arup 1 Nielsen, Jens Perch 1 Osborn, John E. 1 Papanicolaou, George C. 1 Poignard, Clair 1 Puel, Marjolaine 1 Romerio, Michel V. 1 Shen, Haiying 1 Triki, Faouzi 1 Xu, Jian-Ming 1 Xu, Jianming 1 Zhang, Zhimin
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#### Serials

 6 Quarterly of Applied Mathematics 6 Asymptotic Analysis 5 Communications on Pure and Applied Mathematics 5 Numerische Mathematik 5 SIAM Journal on Mathematical Analysis 4 Archive for Rational Mechanics and Analysis 4 Inverse Problems 4 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Mathematics of Computation 3 Indiana University Mathematics Journal 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Applied Mathematics 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 International Journal of Engineering Science 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Contemporary Mathematics 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Solids and Structures 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 SIAM Journal on Control and Optimization 1 Chinese Annals of Mathematics. Series B 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Scandinavian Actuarial Journal 1 Multiscale Modeling & Simulation 1 The IMA Volumes in Mathematics and its Applications
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#### Fields

 71 Partial differential equations (35-XX) 26 Mechanics of deformable solids (74-XX) 24 Optics, electromagnetic theory (78-XX) 16 Numerical analysis (65-XX) 8 Fluid mechanics (76-XX) 4 General and overarching topics; collections (00-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

80 Publications have been cited 1,913 times in 1,155 Documents Cited by Year
Determining conductivity by boundary measurements. Zbl 0586.35089
Kohn, Robert V.; Vogelius, Michael
1984
Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials. Zbl 0608.65013
Scott, L. R.; Vogelius, M.
1985
Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients. Zbl 0958.35060
Li, Yan Yan; Vogelius, Michael
2000
Determining conductivity by boundary measurements. II: Interior results. Zbl 0595.35092
Kohn, Robert V.; Vogelius, Michael
1985
Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction. Zbl 0916.35132
Cedio-Fengya, D. J.; Moskow, S.; Vogelius, M. S.
1998
An analysis of the p-version of the finite element method for nearly incompressible materials. Uniformly valid, optimal error estimates. Zbl 0504.65061
Vogelius, Michael
1983
Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence. Zbl 0684.35087
Friedman, Avner; Vogelius, Michael
1989
Feedback and adaptive finite element solution of one-dimensional boundary value problems. Zbl 0574.65098
Babuška, Ivo; Vogelius, M.
1984
A new model for thin plates with rapidly varying thickness. Zbl 0532.73055
Kohn, Robert V.; Vogelius, Michael
1984
Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406
Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I.
2008
Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. Zbl 0971.78004
Vogelius, Michael S.; Volkov, Darko
2000
Determining cracks by boundary measurements. Zbl 0697.35165
Friedman, Avner; Vogelius, Michael
1989
Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. II: The full Maxwell equations. Zbl 1042.78002
Ammari, Habib; Vogelius, Michael S.; Volkov, Darko
2001
An elliptic regularity result for a composite medium with ”touching” fibers of circular cross-section. Zbl 0947.35044
Bonnetier, Eric; Vogelius, Michael
2000
First-order corrections to the homogenised eigenvalues of a periodic composite medium. A convergence proof. Zbl 0888.35011
Moskow, Shari; Vogelius, Michael
1997
Regular inversion of the divergence operator with Dirichlet boundary conditions on a polygon. Zbl 0702.35208
Arnold, Douglas N.; Scott, L. Ridgway; Vogelius, Michael
1988
Cloaking via change of variables for the Helmholtz equation. Zbl 1194.35505
Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I.
2010
Relaxation of a variational method for impedance computed tomography. Zbl 0659.49009
Kohn, Robert V.; Vogelius, Michael
1987
A new model for thin plates with rapidly varying thickness. II: A convergence proof. Zbl 0565.73046
Kohn, Robert V.; Vogelius, Michael
1985
A direct impedance tomography algorithm for locating small inhomogeneities. Zbl 1016.65079
Brühl, Martin; Hanke, Martin; Vogelius, Michael S.
2003
A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction. Zbl 1137.35346
Capdeboscq, Yves; Vogelius, Michael S.
2003
Conforming finite element methods for incompressible and nearly incompressible continua. Zbl 0582.76028
Scott, L. R.; Vogelius, M.
1985
Method for imaging corrosion damage in thin plates from electrostatic data. Zbl 0851.35134
Kaup, Peter G.; Santosa, Fadil; Vogelius, Michael
1996
A right-inverse for divergence operator in spaces of piecewise polynomials. Application to the p-version of the finite element method. Zbl 0504.65060
Vogelius, Michael
1983
Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume. Zbl 1075.78010
Ammari, Habib; Moskow, Shari; Vogelius, Michael S.
2003
On a dimensional reduction method. I: The optimal selection of basis functions. Zbl 0495.65049
Vogelius, M.; Babuška, Ivo
1981
A nonlinear elliptic boundary value problem related to corrosion modeling. Zbl 0954.35067
Vogelius, Michael; Xu, Jian-Ming
1998
A computational algorithm to determine cracks from electrostatic boundary measurements. Zbl 0825.73761
1991
On the existence and “blow-up” of solutions to a two-dimensional nonlinear boundary-value problem arising in corrosion modelling. Zbl 1040.35034
Kavian, Otared; Vogelius, Michael
2003
Singular solutions to a nonlinear elliptic boundary value problem originating from corrosion modeling. Zbl 1030.35070
Bryan, Kurt; Vogelius, Michael
2002
First-order corrections to the homogenized eigenvalues of a periodic composite medium. Zbl 0808.35085
1993
A backprojection algorithm for electrical impedance imaging. Zbl 0691.65087
1990
Full range scattering estimates and their application to cloaking. Zbl 1257.78011
Nguyen, Hoai-Minh; Vogelius, Michael S.
2012
Identification of an unknown conductivity by means of measurements at the boundary. Zbl 0573.35084
Kohn, Robert V.; Vogelius, Michael
1984
On a dimensional reduction method. II: Some approximation-theoretic results. Zbl 0495.65050
Vogelius, M.; Babuška, Ivo
1981
A new model for thin plates with rapidly varying thickness. III. Comparison of different scalings. Zbl 0605.73048
Kohn, Robert V.; Vogelius, Michael
1986
Asymptotic formulas for steady state voltage potentials in the presence of thin inhomogeneities. A rigorous error analysis. Zbl 1089.78003
Beretta, Elena; Francini, Elisa; Vogelius, Michael S.
2003
A homogenization result for planar, polygonal networks. Zbl 0737.35126
Vogelius, Michael
1991
A MUSIC-type algorithm for detecting internal corrosion from electrostatic boundary measurements. Zbl 1149.78005
Ammari, Habib; Kang, Hyeonbae; Kim, Eunjoo; Louati, Kaouthar; Vogelius, Michael S.
2008
On a dimensional reduction method. III: A posteriori error estimation and an adaptive approach. Zbl 0523.65079
Vogelius, M.; Babuška, Ivo
1981
Elliptic estimates in composite media with smooth inclusions: an integral equation approach. Zbl 1319.35255
Ammari, Habib; Bonnetier, Eric; Triki, Faouzi; Vogelius, Michael
2015
Approximate cloaking for the full wave equation via change of variables. Zbl 1258.35135
Nguyen, Hoai-Minh; Vogelius, Michael S.
2012
A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity. Zbl 1178.35357
Nguyen, Hoai-Minh; Vogelius, Michael S.
2009
Blow-up behavior of planar harmonic functions satisfying a certain exponential Neumann boundary condition. Zbl 1130.35067
Medville, Kai; Vogelius, Michael
2005
Optimal asymptotic estimates for the volume of internal inhomogeneities in terms of multiple boundary measurements. Zbl 1137.35347
Capdeboscq, Yves; Vogelius, Michael S.
2003
Asymptotic formulas for steady state voltage potentials in the presence of conductivity imperfections of small area. Zbl 0974.78006
Beretta, Elena; Mukherjee, Arup; Vogelius, Michael
2001
An effective nonlinear boundary condition for a corroding surface. Identification of the damage based on steady state electric data. Zbl 0908.35137
Santosa, Fadil; Vogelius, Michael; Xu, Jian-Ming
1998
Homogenization limits of the equations of elasticity in thin domains. Zbl 0614.73012
Damlamian, A.; Vogelius, M.
1987
A review of some recent work on impedance imaging for inhomogeneities of low volume fraction. Zbl 1072.35198
Capdeboscq, Yves; Vogelius, Michael S.
2004
A review of selected works on crack identification. Zbl 1062.35166
Bryan, Kurt; Vogelius, Michael S.
2003
Approximate cloaking for the full wave equation via change of variables: the Drude-Lorentz model. Zbl 1368.35037
Nguyen, Hoai-Minh; Vogelius, Michael S.
2016
A uniqueness result concerning the identification of a collection of cracks from finitely many electrostatic boundary measurements. Zbl 0754.73077
Bryan, Kurt; Vogelius, Michael
1992
Pointwise polarization tensor bounds, and applications to voltage perturbations caused by thin inhomogeneities. Zbl 1130.35011
Capdeboscq, Yves; Vogelius, Michael S.
2006
An inverse problem for the equation $$\Delta u=-cu-d$$. Zbl 0813.35136
Vogelius, Michael
1994
Divergence stability in connection with the p-version of the finite element method. Zbl 0717.65085
Jensen, S.; Vogelius, M.
1990
Adaptive methods and error estimation for elliptic problems of structural mechanics. Zbl 0581.73080
Babuška, Ivo; Miller, A.; Vogelius, M.
1983
An inverse problem originating from magnetohydrodynamics. III: Domains with corners of arbitrary angles. Zbl 0853.76093
Beretta, Elena; Vogelius, Michael
1995
A computational algorithm to determine crack locations from electrostatic boundary measurements. The case of multiple cracks. Zbl 0924.73179
Bryan, Kurt; Vogelius, Michael
1994
Asymptotically precise norm estimates of scattering from a small circular inhomogeneity. Zbl 1123.78008
Hansen, Derek J.; Poignard, Clair; Vogelius, Michael S.
2007
An inverse problem originating from magnetohydrodynamics. Zbl 0732.76096
Beretta, Elena; Vogelius, Michael
1991
A projection method applied to diffusion in a periodic structure. Zbl 0519.35001
Vogelius, Michael; Papanicolaou, George
1982
An inverse problem originating from magnetohydrodynamics. II: The case of the Grad-Shafranov equation. Zbl 0774.76096
Beretta, Elena; Vogelius, Michael
1992
Homogenization limits on diffusion equations in thin domains. Zbl 0672.73009
Damlamian, Alain; Vogelius, Michael
1988
Erratum: Cloaking via change of variables for the Helmholtz equation. Zbl 1221.35449
Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I.
2010
Determining cracks by boundary measurements. Zbl 0689.35097
Friedman, Avner; Vogelius, Michael
1989
Relaxation of a compliance functional for a plate optimization problem. Zbl 0631.73079
Bonnetier, E.; Vogelius, M.
1987
Analysis of an enhanced approximate cloaking scheme for the conductivity problem. Zbl 1302.78015
Heumann, Holger; Vogelius, Michael S.
2014
Enhanced approximate cloaking by optimal change of variables. Zbl 1290.35260
Griesmaier, Roland; Vogelius, Michael S.
2014
Diffusion and homogenization limits with separate scales. Zbl 1276.35020
Ben Abdallah, Naoufel; Puel, Marjolaine; Vogelius, Michael S.
2012
Transient behavior of solutions to a class of nonlinear boundary value problems. Zbl 1221.35062
Bryan, Kurt; Vogelius, Michael S.
2011
Precise bounds for finite time blowup of solutions to very general one-space-dimensional nonlinear Neumann problems. Zbl 1215.35039
Bryan, Kurt; Vogelius, Michael S.
2011
Electromagnetic imaging of small inhomogeneities. Zbl 1138.78328
Capdeboscq, Yves; Vogelius, Michael S.
2008
Existence and blow up of solutions to certain classes of two-dimensional nonlinear Neumann problems. Zbl 1157.35385
Medville, Kai; Vogelius, Michael S.
2006
Two-dimensional hazard estimation for longevity analysis. Zbl 1142.62078
Fledelius, Peter; Guillen, Montserrat; Nielsen, Jens Perch; Vogelius, Michael
2004
Reconstruction of multiple cracks from experimental, electrostatic boundary measurements. Zbl 0841.35124
Bryan, Kurt; Liepa, Valdis; Vogelius, Michael
1994
Thin plates with rapidly varying thickness, and their relation to structural optimization. Zbl 0645.73042
Kohn, Robert V.; Vogelius, Michael
1986
Uniform asymptotic expansion of the voltage potential in the presence of thin inhomogeneities with arbitrary conductivity. Zbl 1368.35095
Dapogny, Charles; Vogelius, Michael S.
2017
Ivo Babuška - mathematician and engineer. Zbl 1173.01318
Demkowicz, L.; Guo, Ben Qi; Osborn, J.; Vogelius, M.
2007
Geometric methods in inverse problems and PDE control. Selected articles presented at the 2001 IMA summer program, Minneapolis, MN, USA. Zbl 1051.35003
Croke, Christopher B. (ed.); Lasiecka, Irena (ed.); Uhlmann, Gunther (ed.); Vogelius, Michael S. (ed.)
2003
Corrigendum: On the existence and ‘blow-up’ of solutions to a two-dimensional nonlinear boundary value problem arising in corrosion modelling. Zbl 1086.35504
Kavian, Otared; Vogelius, Michael
2003
Uniform asymptotic expansion of the voltage potential in the presence of thin inhomogeneities with arbitrary conductivity. Zbl 1368.35095
Dapogny, Charles; Vogelius, Michael S.
2017
Approximate cloaking for the full wave equation via change of variables: the Drude-Lorentz model. Zbl 1368.35037
Nguyen, Hoai-Minh; Vogelius, Michael S.
2016
Elliptic estimates in composite media with smooth inclusions: an integral equation approach. Zbl 1319.35255
Ammari, Habib; Bonnetier, Eric; Triki, Faouzi; Vogelius, Michael
2015
Analysis of an enhanced approximate cloaking scheme for the conductivity problem. Zbl 1302.78015
Heumann, Holger; Vogelius, Michael S.
2014
Enhanced approximate cloaking by optimal change of variables. Zbl 1290.35260
Griesmaier, Roland; Vogelius, Michael S.
2014
Full range scattering estimates and their application to cloaking. Zbl 1257.78011
Nguyen, Hoai-Minh; Vogelius, Michael S.
2012
Approximate cloaking for the full wave equation via change of variables. Zbl 1258.35135
Nguyen, Hoai-Minh; Vogelius, Michael S.
2012
Diffusion and homogenization limits with separate scales. Zbl 1276.35020
Ben Abdallah, Naoufel; Puel, Marjolaine; Vogelius, Michael S.
2012
Transient behavior of solutions to a class of nonlinear boundary value problems. Zbl 1221.35062
Bryan, Kurt; Vogelius, Michael S.
2011
Precise bounds for finite time blowup of solutions to very general one-space-dimensional nonlinear Neumann problems. Zbl 1215.35039
Bryan, Kurt; Vogelius, Michael S.
2011
Cloaking via change of variables for the Helmholtz equation. Zbl 1194.35505
Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I.
2010
Erratum: Cloaking via change of variables for the Helmholtz equation. Zbl 1221.35449
Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I.
2010
A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity. Zbl 1178.35357
Nguyen, Hoai-Minh; Vogelius, Michael S.
2009
Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406
Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I.
2008
A MUSIC-type algorithm for detecting internal corrosion from electrostatic boundary measurements. Zbl 1149.78005
Ammari, Habib; Kang, Hyeonbae; Kim, Eunjoo; Louati, Kaouthar; Vogelius, Michael S.
2008
Electromagnetic imaging of small inhomogeneities. Zbl 1138.78328
Capdeboscq, Yves; Vogelius, Michael S.
2008
Asymptotically precise norm estimates of scattering from a small circular inhomogeneity. Zbl 1123.78008
Hansen, Derek J.; Poignard, Clair; Vogelius, Michael S.
2007
Ivo Babuška - mathematician and engineer. Zbl 1173.01318
Demkowicz, L.; Guo, Ben Qi; Osborn, J.; Vogelius, M.
2007
Pointwise polarization tensor bounds, and applications to voltage perturbations caused by thin inhomogeneities. Zbl 1130.35011
Capdeboscq, Yves; Vogelius, Michael S.
2006
Existence and blow up of solutions to certain classes of two-dimensional nonlinear Neumann problems. Zbl 1157.35385
Medville, Kai; Vogelius, Michael S.
2006
Blow-up behavior of planar harmonic functions satisfying a certain exponential Neumann boundary condition. Zbl 1130.35067
Medville, Kai; Vogelius, Michael
2005
A review of some recent work on impedance imaging for inhomogeneities of low volume fraction. Zbl 1072.35198
Capdeboscq, Yves; Vogelius, Michael S.
2004
Two-dimensional hazard estimation for longevity analysis. Zbl 1142.62078
Fledelius, Peter; Guillen, Montserrat; Nielsen, Jens Perch; Vogelius, Michael
2004
A direct impedance tomography algorithm for locating small inhomogeneities. Zbl 1016.65079
Brühl, Martin; Hanke, Martin; Vogelius, Michael S.
2003
A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction. Zbl 1137.35346
Capdeboscq, Yves; Vogelius, Michael S.
2003
Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume. Zbl 1075.78010
Ammari, Habib; Moskow, Shari; Vogelius, Michael S.
2003
On the existence and “blow-up” of solutions to a two-dimensional nonlinear boundary-value problem arising in corrosion modelling. Zbl 1040.35034
Kavian, Otared; Vogelius, Michael
2003
Asymptotic formulas for steady state voltage potentials in the presence of thin inhomogeneities. A rigorous error analysis. Zbl 1089.78003
Beretta, Elena; Francini, Elisa; Vogelius, Michael S.
2003
Optimal asymptotic estimates for the volume of internal inhomogeneities in terms of multiple boundary measurements. Zbl 1137.35347
Capdeboscq, Yves; Vogelius, Michael S.
2003
A review of selected works on crack identification. Zbl 1062.35166
Bryan, Kurt; Vogelius, Michael S.
2003
Geometric methods in inverse problems and PDE control. Selected articles presented at the 2001 IMA summer program, Minneapolis, MN, USA. Zbl 1051.35003
Croke, Christopher B. (ed.); Lasiecka, Irena (ed.); Uhlmann, Gunther (ed.); Vogelius, Michael S. (ed.)
2003
Corrigendum: On the existence and ‘blow-up’ of solutions to a two-dimensional nonlinear boundary value problem arising in corrosion modelling. Zbl 1086.35504
Kavian, Otared; Vogelius, Michael
2003
Singular solutions to a nonlinear elliptic boundary value problem originating from corrosion modeling. Zbl 1030.35070
Bryan, Kurt; Vogelius, Michael
2002
Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. II: The full Maxwell equations. Zbl 1042.78002
Ammari, Habib; Vogelius, Michael S.; Volkov, Darko
2001
Asymptotic formulas for steady state voltage potentials in the presence of conductivity imperfections of small area. Zbl 0974.78006
Beretta, Elena; Mukherjee, Arup; Vogelius, Michael
2001
Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients. Zbl 0958.35060
Li, Yan Yan; Vogelius, Michael
2000
Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. Zbl 0971.78004
Vogelius, Michael S.; Volkov, Darko
2000
An elliptic regularity result for a composite medium with ”touching” fibers of circular cross-section. Zbl 0947.35044
Bonnetier, Eric; Vogelius, Michael
2000
Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction. Zbl 0916.35132
Cedio-Fengya, D. J.; Moskow, S.; Vogelius, M. S.
1998
A nonlinear elliptic boundary value problem related to corrosion modeling. Zbl 0954.35067
Vogelius, Michael; Xu, Jian-Ming
1998
An effective nonlinear boundary condition for a corroding surface. Identification of the damage based on steady state electric data. Zbl 0908.35137
Santosa, Fadil; Vogelius, Michael; Xu, Jian-Ming
1998
First-order corrections to the homogenised eigenvalues of a periodic composite medium. A convergence proof. Zbl 0888.35011
Moskow, Shari; Vogelius, Michael
1997
Method for imaging corrosion damage in thin plates from electrostatic data. Zbl 0851.35134
Kaup, Peter G.; Santosa, Fadil; Vogelius, Michael
1996
An inverse problem originating from magnetohydrodynamics. III: Domains with corners of arbitrary angles. Zbl 0853.76093
Beretta, Elena; Vogelius, Michael
1995
An inverse problem for the equation $$\Delta u=-cu-d$$. Zbl 0813.35136
Vogelius, Michael
1994
A computational algorithm to determine crack locations from electrostatic boundary measurements. The case of multiple cracks. Zbl 0924.73179
Bryan, Kurt; Vogelius, Michael
1994
Reconstruction of multiple cracks from experimental, electrostatic boundary measurements. Zbl 0841.35124
Bryan, Kurt; Liepa, Valdis; Vogelius, Michael
1994
First-order corrections to the homogenized eigenvalues of a periodic composite medium. Zbl 0808.35085
1993
A uniqueness result concerning the identification of a collection of cracks from finitely many electrostatic boundary measurements. Zbl 0754.73077
Bryan, Kurt; Vogelius, Michael
1992
An inverse problem originating from magnetohydrodynamics. II: The case of the Grad-Shafranov equation. Zbl 0774.76096
Beretta, Elena; Vogelius, Michael
1992
A computational algorithm to determine cracks from electrostatic boundary measurements. Zbl 0825.73761
1991
A homogenization result for planar, polygonal networks. Zbl 0737.35126
Vogelius, Michael
1991
An inverse problem originating from magnetohydrodynamics. Zbl 0732.76096
Beretta, Elena; Vogelius, Michael
1991
A backprojection algorithm for electrical impedance imaging. Zbl 0691.65087
1990
Divergence stability in connection with the p-version of the finite element method. Zbl 0717.65085
Jensen, S.; Vogelius, M.
1990
Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence. Zbl 0684.35087
Friedman, Avner; Vogelius, Michael
1989
Determining cracks by boundary measurements. Zbl 0697.35165
Friedman, Avner; Vogelius, Michael
1989
Determining cracks by boundary measurements. Zbl 0689.35097
Friedman, Avner; Vogelius, Michael
1989
Regular inversion of the divergence operator with Dirichlet boundary conditions on a polygon. Zbl 0702.35208
Arnold, Douglas N.; Scott, L. Ridgway; Vogelius, Michael
1988
Homogenization limits on diffusion equations in thin domains. Zbl 0672.73009
Damlamian, Alain; Vogelius, Michael
1988
Relaxation of a variational method for impedance computed tomography. Zbl 0659.49009
Kohn, Robert V.; Vogelius, Michael
1987
Homogenization limits of the equations of elasticity in thin domains. Zbl 0614.73012
Damlamian, A.; Vogelius, M.
1987
Relaxation of a compliance functional for a plate optimization problem. Zbl 0631.73079
Bonnetier, E.; Vogelius, M.
1987
A new model for thin plates with rapidly varying thickness. III. Comparison of different scalings. Zbl 0605.73048
Kohn, Robert V.; Vogelius, Michael
1986
Thin plates with rapidly varying thickness, and their relation to structural optimization. Zbl 0645.73042
Kohn, Robert V.; Vogelius, Michael
1986
Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials. Zbl 0608.65013
Scott, L. R.; Vogelius, M.
1985
Determining conductivity by boundary measurements. II: Interior results. Zbl 0595.35092
Kohn, Robert V.; Vogelius, Michael
1985
A new model for thin plates with rapidly varying thickness. II: A convergence proof. Zbl 0565.73046
Kohn, Robert V.; Vogelius, Michael
1985
Conforming finite element methods for incompressible and nearly incompressible continua. Zbl 0582.76028
Scott, L. R.; Vogelius, M.
1985
Determining conductivity by boundary measurements. Zbl 0586.35089
Kohn, Robert V.; Vogelius, Michael
1984
Feedback and adaptive finite element solution of one-dimensional boundary value problems. Zbl 0574.65098
Babuška, Ivo; Vogelius, M.
1984
A new model for thin plates with rapidly varying thickness. Zbl 0532.73055
Kohn, Robert V.; Vogelius, Michael
1984
Identification of an unknown conductivity by means of measurements at the boundary. Zbl 0573.35084
Kohn, Robert V.; Vogelius, Michael
1984
An analysis of the p-version of the finite element method for nearly incompressible materials. Uniformly valid, optimal error estimates. Zbl 0504.65061
Vogelius, Michael
1983
A right-inverse for divergence operator in spaces of piecewise polynomials. Application to the p-version of the finite element method. Zbl 0504.65060
Vogelius, Michael
1983
Adaptive methods and error estimation for elliptic problems of structural mechanics. Zbl 0581.73080
Babuška, Ivo; Miller, A.; Vogelius, M.
1983
A projection method applied to diffusion in a periodic structure. Zbl 0519.35001
Vogelius, Michael; Papanicolaou, George
1982
On a dimensional reduction method. I: The optimal selection of basis functions. Zbl 0495.65049
Vogelius, M.; Babuška, Ivo
1981
On a dimensional reduction method. II: Some approximation-theoretic results. Zbl 0495.65050
Vogelius, M.; Babuška, Ivo
1981
On a dimensional reduction method. III: A posteriori error estimation and an adaptive approach. Zbl 0523.65079
Vogelius, M.; Babuška, Ivo
1981
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#### Cited by 1,418 Authors

 47 Ammari, Habib M. 35 Kang, Hyeonbae 30 Vogelius, Michael S. 28 Uhlmann, Gunther Alberto 18 Babuška, Ivo 15 Lim, Mikyoung 15 Nguyen, Hoai-Minh 15 Zhang, Shangyou 14 Beretta, Elena 14 Lee, Hyundae 13 Liu, Hongyu 12 Alessandrini, Giovanni 12 Lassas, Matti 12 Li, Jichun 12 Linke, Alexander 12 Novotny, Antonio André 11 Allaire, Grégoire 11 Huang, Yunqing 11 Khelifi, Abdessatar 11 Li, Haigang 11 Scott, Larkin Ridgway 9 Bonnet, Marc 9 Capdeboscq, Yves 9 Deng, Youjun 9 Nakamura, Gen 9 Rebholz, Leo G. 9 Seo, Jin Keun 9 Yun, Kihyun 8 Cao, Liqun 8 Chen, Shaochun 8 Harrach, Bastian 8 Milton, Graeme Walter 8 Poignard, Clair 8 Rondi, Luca 8 Sun, Ziqi 7 Ben Abda, Amel 7 Cakoni, Fioralba 7 Francini, Elisa 7 Guzina, Bojan B. 7 Lesnic, Daniel 7 Li, YanYan 7 Neilan, Michael 7 Praetorius, Dirk 7 Sincich, Eva 7 Suri, Manil 7 Volkov, Darko 7 Yamamoto, Masahiro 7 Yeh, Li-Ming 6 Cockburn, Bernardo 6 Dong, Hongjie 6 Garnier, Josselin 6 Greenleaf, Allan 6 Hanke-Bourgeois, Martin 6 Kohn, Robert Vita 6 Kolpakov, Alexander G. 6 Mao, Shipeng 6 Novikov, Roman G. 6 Park, Won-Kwang 6 Triki, Faouzi 6 Vessella, Sergio 6 Xu, Jinchao 6 Xu, Longjuan 6 Yu, SangHyeon 6 Zribi, Habib 5 Arnold, Douglas Norman 5 Bao, Jiguang 5 Bryan, Kurt M. 5 Carstensen, Carsten 5 Cheng, Jin 5 Daveau, Christian 5 Demkowicz, Leszek F. 5 Fasino, Dario 5 Feischl, Michael 5 Girault, Vivette 5 Hassine, Maatoug 5 Ikehata, Masaru 5 Inglese, Gabriele 5 Kim, Eunjoo 5 Kropat, Erik 5 Kurylev, Yaroslav V. 5 Moskow, Shari 5 Musso, Monica 5 Oden, John Tinsley 5 Onofrei, Daniel 5 Pierotti, Dario 5 Pruchnicki, Erick 5 Ramm, Alexander G. 5 Sini, Mourad 5 Sumbatyan, Mezhlum A. 5 Yang, Wei 4 Abdulle, Assyr 4 Byun, Sun-Sig 4 Ciarlet, Philippe Gaston 4 Ciraolo, Giulio 4 Dambrine, Marc 4 Darbas, Marion 4 Dávila, Juan 4 Elliott, Lionel 4 Gloria, Antoine 4 Griesmaier, Roland ...and 1,318 more Authors
all top 5

#### Cited in 225 Serials

 63 Computer Methods in Applied Mechanics and Engineering 41 Archive for Rational Mechanics and Analysis 39 Mathematics of Computation 33 Applicable Analysis 33 Journal of Computational and Applied Mathematics 32 Computers & Mathematics with Applications 31 Journal of Differential Equations 29 Journal of Mathematical Analysis and Applications 25 Numerische Mathematik 24 Inverse Problems 23 Journal de Mathématiques Pures et Appliquées. Neuvième Série 22 Mathematical Methods in the Applied Sciences 21 Journal of Computational Physics 21 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 19 Journal of Scientific Computing 19 SIAM Journal on Mathematical Analysis 17 Communications in Partial Differential Equations 16 Multiscale Modeling & Simulation 15 Applied Mathematics and Computation 15 Journal of Inverse and Ill-Posed Problems 15 Inverse Problems and Imaging 14 SIAM Journal on Numerical Analysis 14 RAIRO. Modélisation Mathématique et Analyse Numérique 13 Quarterly of Applied Mathematics 13 Engineering Analysis with Boundary Elements 13 Inverse Problems in Science and Engineering 12 Communications in Mathematical Physics 12 Applied Numerical Mathematics 12 SIAM Journal on Applied Mathematics 11 Journal of Elasticity 10 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 SIAM Journal on Imaging Sciences 9 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 8 Wave Motion 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 SIAM Journal on Scientific Computing 8 Calculus of Variations and Partial Differential Equations 8 Journal of Mathematical Sciences (New York) 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Science China. Mathematics 7 Communications on Pure and Applied Mathematics 7 Journal of the Mechanics and Physics of Solids 7 International Journal for Numerical Methods in Engineering 7 Communications in Numerical Methods in Engineering 6 International Journal of Engineering Science 6 Advances in Mathematics 6 Duke Mathematical Journal 6 Computational Mechanics 6 Numerical Methods for Partial Differential Equations 6 European Journal of Applied Mathematics 6 Computational Methods in Applied Mathematics 5 International Journal of Solids and Structures 5 Calcolo 5 Journal of Functional Analysis 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Proceedings of the American Mathematical Society 5 Applied Mathematical Modelling 5 Archive of Applied Mechanics 5 Mathematical Problems in Engineering 5 Mathematics and Mechanics of Solids 4 BIT 4 Mathematische Annalen 4 Meccanica 4 Numerical Functional Analysis and Optimization 4 Transactions of the American Mathematical Society 4 Advances in Applied Mathematics 4 Journal of the American Mathematical Society 4 European Journal of Mechanics. A. Solids 4 Numerical Algebra, Control and Optimization 3 Journal of Applied Mathematics and Mechanics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Computing 3 Journal of Optimization Theory and Applications 3 Mathematische Zeitschrift 3 Zeitschrift für Analysis und ihre Anwendungen 3 Applied Mathematics and Mechanics. (English Edition) 3 Chinese Annals of Mathematics. Series B 3 Mathematical and Computer Modelling 3 Computational Mathematics and Mathematical Physics 3 International Journal of Computer Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Potential Analysis 3 St. Petersburg Mathematical Journal 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Computational Geosciences 3 Foundations of Computational Mathematics 3 Structural and Multidisciplinary Optimization 2 Acta Mechanica 2 Journal of Mathematical Physics 2 Nonlinearity 2 Acta Mathematica Vietnamica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Optimization 2 Functional Analysis and its Applications 2 Inventiones Mathematicae 2 Mechanics Research Communications 2 SIAM Journal on Control and Optimization ...and 125 more Serials
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#### Cited in 42 Fields

 739 Partial differential equations (35-XX) 399 Numerical analysis (65-XX) 323 Mechanics of deformable solids (74-XX) 183 Optics, electromagnetic theory (78-XX) 175 Fluid mechanics (76-XX) 89 Calculus of variations and optimal control; optimization (49-XX) 41 Biology and other natural sciences (92-XX) 30 Potential theory (31-XX) 25 Information and communication theory, circuits (94-XX) 24 Integral equations (45-XX) 23 Operator theory (47-XX) 23 Classical thermodynamics, heat transfer (80-XX) 22 Global analysis, analysis on manifolds (58-XX) 18 Ordinary differential equations (34-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Systems theory; control (93-XX) 11 Computer science (68-XX) 10 Geophysics (86-XX) 9 Integral transforms, operational calculus (44-XX) 8 Functions of a complex variable (30-XX) 8 Functional analysis (46-XX) 8 Operations research, mathematical programming (90-XX) 7 Approximations and expansions (41-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Differential geometry (53-XX) 5 Quantum theory (81-XX) 4 Real functions (26-XX) 4 Statistics (62-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Probability theory and stochastic processes (60-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX)

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