Michael Vogelius
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American mathematician
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Michael Vogeliusmathematics Degrees
Mathematics
#4468
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#6341
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#1535
USA Rank
Applied Mathematics
#256
World Rank
#281
Historical Rank
#70
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Measure Theory
#2540
World Rank
#3048
Historical Rank
#720
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Mathematics
Michael Vogelius's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Princeton University
- Bachelors Mathematics Princeton University
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Why Is Michael Vogelius Influential?
(Suggest an Edit or Addition)According to Wikipedia, Michael Steenstrup Vogelius is an American mathematician. Education Vogelius completed his Ph.D. at the University of Maryland College Park in 1980. His doctoral advisor was Ivo Babuška. His dissertation thesis was titled A Dimensional Reduction Approach to the Solution of Partial Differential Equations.
Michael Vogelius's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Determining conductivity by boundary measurements (1984) (645)
- Determining conductivity by boundary measurements II. Interior results (1985) (423)
- Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials (1985) (343)
- Gradient Estimates for Solutions to Divergence Form Elliptic Equations with Discontinuous Coefficients (2000) (289)
- A new model for thin plates with rapidly varying thickness (1984) (278)
- A backprojection algorithm for electrical impedance imaging (1990) (251)
- Identification of conductivity imperfections of small diameter by boundary measurements. Continuous (1998) (237)
- Determining Cracks by Boundary Measurements (1989) (224)
- Cloaking via change of variables in electric impedance tomography (2008) (221)
- Relaxation of a variational method for impedance computed tomography (1987) (218)
- Identification of small inhomogeneities of extreme conductivity by boundary measurements: a theorem on continuous dependence (1989) (204)
- Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter II. The full Maxwell equations (2001) (204)
- Feedback and adaptive finite element solution of one-dimensional boundary value problems (1984) (174)
- Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogen (2000) (166)
- A direct impedance tomography algorithm for locating small inhomogeneities (2003) (163)
- Cloaking via change of variables for the Helmholtz equation (2010) (150)
- First-order corrections to the homogenised eigenvalues of a periodic composite medium. A convergence proof (1997) (141)
- Conforming finite element methods for incompressible and nearly incompressible continua (1984) (138)
- An analysis of thep-version of the finite element method for nearly incompressible materials (1983) (138)
- IDENTIFICATION OF AN UNKNOWN CONDUCTIVITY BY MEANS OF MEASUREMENTS AT THE BOUNDARY. (1983) (137)
- An Elliptic Regularity Result for a Composite Medium with "Touching" Fibers of Circular Cross-Section (2000) (132)
- On a dimensional reduction method. I. The optimal selection of basis functions (1981) (129)
- A Method for Imaging Corrosion Damage in Thin Plates from Electrostatic Data (1995) (128)
- First-Order Corrections to the Homogenized Eigenvalues of a Periodic Composite Medium (1993) (127)
- Regular Inversion of the Divergence Operator with Dirichlet Boundary Conditions on a Polygon. (1987) (126)
- A New Model for Thin Plates with Rapidly Varying Thickness. II. A Convergence Proof. (1985) (121)
- A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction (2003) (118)
- Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume (2003) (89)
- A computational algorithm to determine cracks from electrostatic boundary measurements (1991) (88)
- A right-inverse for the divergence operator in spaces of piecewise polynomials (1983) (82)
- A nonlinear elliptic boundary value problem related to corrosion modeling (1998) (78)
- A uniqueness result concerning the identification of a collection of cracks from finitely many electrostatic boundary measurements (1992) (69)
- Asymptotic formulas for steady state voltage potentials in the presence of thin inhomogeneities. A rigorous error analysis (2003) (68)
- On a dimensional reduction method. II. Some approximation-theoretic results (1981) (63)
- OPTIMAL ASYMPTOTIC ESTIMATES FOR THE VOLUME OF INTERNAL INHOMOGENEITIES IN TERMS OF MULTIPLE BOUNDARY MEASUREMENTS (2003) (60)
- A New Model for Thin Plates with Rapidly Varying Thickness. III. Comparison of Different Scalings. (1986) (55)
- A computational algorithm to determine crack locations from electrostatic boundary measurements. The case of multiple cracks (1994) (55)
- On a dimensional reduction method. III. A posteriori error estimation and an adaptive approach (1981) (50)
- Adaptive Methods and Error Estimation for Elliptic Problems of Structural Mechanics. (1983) (49)
- A review of some recent work on impedance imaging for inhomogeneities of low volume fraction (2004) (44)
- A MUSIC-type algorithm for detecting internal corrosion from electrostatic boundary measurements (2008) (43)
- Asymptotic formulas for steady state voltage potentials in the presence of conductivity imperfections of small area (2001) (43)
- Singular solutions to a nonlinear elliptic boundary value problem originating from corrosion modeling (2002) (42)
- On the existence and ‘blow-up’ of solutions to a two-dimensional nonlinear boundary-value problem arising in corrosion modelling (2003) (41)
- A REVIEW OF SELECTED WORKS ON CRACK IDENTIFICATION (2004) (38)
- An effective nonlinear boundary condition for a corroding surface. Identification of the damage based on steady state electric data (1998) (35)
- Crack determination from boundary measurements—Reconstruction using experimental data (1993) (34)
- Full Range Scattering Estimates and Their Application to Cloaking (2012) (34)
- Elliptic estimates in composite media with smooth inclusions: an integral equation approach (2015) (32)
- Approximate Cloaking for the Full Wave Equation via Change of Variables (2012) (32)
- A homogenization result for planar, polygonal networks (1991) (30)
- Erratum: Cloaking via change of variables for the Helmholtz equation (2010) (30)
- A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity (2009) (29)
- Pointwise polarization tensor bounds, and applications to voltage perturbations caused by thin inhomogeneities (2006) (27)
- An inverse problem for the equation $\triangle u=-cu-d$ (1994) (23)
- Asymptotically precise norm estimates of scattering from a small circular inhomogeneity (2007) (23)
- Thin Plates with Rapidly Varying Thickness, and their Relation to Structural Optimization (1986) (21)
- Divergence stability in connection with the $p$ -version of the finite element method (1990) (20)
- An inverse problem orginating from magnetohydrodynamics. II: the case of the Grad-Shafranov equation (1992) (16)
- AN INVERSE PROBLEM ORIGINATING FROM MAGNETOHYDRODYNAMICS. III: DOMAINS WITH CORNERS OF ARBITRARY ANGLES (1995) (16)
- Singularities Almost Always Scatter: Regularity Results for Non-scattering Inhomogeneities (2021) (15)
- Blow-up behavior of Planar Harmonic Functions Satisfying a Certain Exponential Neumann Boundary Condition (2005) (15)
- Partial Differential Equations and Inverse Problems (2004) (14)
- A Projection Method Applied to Diffusion in a Periodic Structure (1982) (14)
- Noncompact problems at the intersection of geometry, analysis, and topology : proceedings of the Brezis-Browder Conference, Noncompact Variational Problems and General Relativity, October 14-18, 2001, Rutgers, the State University of New Jersey, New Brunswick, NJ (2004) (14)
- High frequency perturbation formulas for the effect of small inhomogeneities (2008) (12)
- An inverse problem originating from magnetohydrodynamics (1991) (12)
- Finiteness Results Concerning Nonscattering Wave Numbers for Incident Plane and Herglotz Waves (2021) (11)
- Homogenization limits of diffusion equations in thin domains (1988) (11)
- Enhanced approximate cloaking by optimal change of variables (2014) (10)
- Erratum to the Paper: First-Order Corrections to the Homogenized Eigenvalues of a Periodic Composite Medium (1995) (10)
- RECONSTRUCTION OF MULTIPLE CRACKS FROM EXPERIMENTAL ELECTROSTATIC BOUNDARY MEASUREMENTS (1993) (9)
- An effective nonlinear boundary condition for a corroding surface. Identification of the damage based on electrostatic data (1997) (8)
- Uniform asymptotic expansion of the voltage potential in the presence of thin inhomogeneities with arbitrary conductivity (2017) (7)
- Analysis of an enhanced approximate cloaking scheme for the conductivity problem (2014) (6)
- Existence and blow up of solutions to certain classes of two-dimensional nonlinear Neumann problems (2006) (6)
- Identification of Small Inhomogeneities of Extreme Conductivity by Boundary Measurements: A Continuous Dependence Result (1987) (6)
- Wavelet Based Homogenization of a 2 Dimensional Elliptic Problem (2003) (5)
- Effective behavior of clusters of microscopic cracks inside a homogeneous conductor (1996) (4)
- Diffusion and Homogenization Limits with Separate Scales (2012) (4)
- A METHOD FOR IMAGING CORROSION DAMAGE IN THIN PLATES FROMELECTROSTATIC (1996) (3)
- A computational algorithm for crack determination: The multiple crack case (1992) (3)
- Precise bounds for finite time blowup of solutions to very general one-space-dimensional nonlinear Neumann problems (2011) (2)
- Small perturbations in the type of boundary conditions for an elliptic operator (2021) (2)
- Determination of the Interface Between the Fluids in a Hall--Héroult Cell from Measurements of Electric Potentials and Currents on the Electrodes (1999) (2)
- A uniformly valid model for the limiting behaviour of voltage potentials in the presence of thin inhomogeneities I. The case of an open mid-curve (2020) (2)
- TRANSIENT BEHAVIOR OF SOLUTIONS TO A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS (2011) (2)
- Ivo Babuška – Mathematician and engineer (2007) (2)
- On optimal cloaking-by-mapping transformations (2021) (2)
- NSF Big Data Funding Opportunity for the Statistics Community (2015) (2)
- Approximate Cloaking Using Transformation Optics for Acoustic and Electromagnetic Waves (2019) (1)
- A variational method to find effective coefficients for periodic media. A comparison with standard homogenization (1982) (1)
- On the Regularity of Non-scattering Anisotropic Inhomogeneities (2022) (1)
- Far field broadband approximate cloaking for the Helmholtz equation with a Drude-Lorentz refractive index (2023) (1)
- Full Range Scattering Estimates and Their Application to Cloaking (2011) (1)
- ASSOCIATING A LIMIT PERTURBATION MODEL IN 3D WITH REDUCED MESHES FOR SIMULATIONS OF THE LOCALIZATION OF CERTAIN ELECTROMAGNETIC INHOMOGENEITIES (2009) (1)
- Identification of objects of extreme conductivity by boundary measurements (1989) (0)
- Representation formulas for the field perturbations caused by low volume fraction inhomogeneities . Applications to electromagnetic imaging (2006) (0)
- Inverse Problems for Partial Differential Equations 3 Workshop : Inverse Problems for Partial Differential Equations Table of Contents (2012) (0)
- A uniformly valid model for the limiting behaviour of voltage potentials in the presence of thin inhomogeneities II. A local energy approximation result (2020) (0)
- DMS Funding Opportunities Updated (2014) (0)
- An efficient approach to calculate current distributions for electro-deposition of chip interconnections (2000) (0)
- Uniform asymptotic expansion of the voltage potential in the presence of thin inhomogeneities with arbitrary conductivity (2017) (0)
- A Note Concerning Boundary Effects and Long Time Vibrations of Layered Media (1995) (0)
- IPwin2021: Small electromagnetic inhomogeneities and scattering vs. non-scattering wave-numbers for the Helmholtz equation (2021) (0)
- DMS mathematical sciences research institutes update (2015) (0)
- Update from the Division of Mathematical Sciences (2017) (0)
- Prof. Ivo Babuška (2017) (0)
- Approximate Cloaking Using Transformation Optics for Acoustic and Electromagnetic Waves (2019) (0)
- Erratum: On the existence and 'blow-up' of solutions to a two-dimensional nonlinear boundary value problem arising in corrosion modelling (Proceedings of the Royal Society of Edinburgh (2003) 133A (119-149)) (2003) (0)
- A COMPUTATIONAL METHOD FOR ELECTRICAL IMPEDANCE IMAGING (1989) (0)
- Divergence stability in connectionwith the p-version of the finite elementmethod (2009) (0)
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