Mathematical Methods in Elasticity Imaging /

This book is the first to comprehensively explore elasticity imaging and examines recent, important developments in asymptotic imaging, modeling, and analysis of deterministic and stochastic elastic wave propagation phenomena. It derives the best possible functional images for small inclusions and c...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ammari, Habib (Autor), Bretin, Elie (Autor), Garnier, Josselin (Autor), Kang, Hyeonbae (Autor), Lee, Hyundae (Autor), Wahab, Abdul (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, New Jersey : Princeton University Press, [2015]
Colección:Princeton series in applied mathematics.
Temas:
Elasticity > Mathematics.
Élasticité > Mathématiques.
SCIENCE > Mechanics > General.
SCIENCE > Mechanics > Solids.
TECHNOLOGY & ENGINEERING > Materials Science.
Elasticity > Mathematics
Dirichlet function.
Helmholtz decomposition theorem.
Helmholtz decomposition.
Kelvin matrix.
Kirchhoff migration.
Lam system.
MUSIC algorithm.
Neumann boundary condition.
anisotropic elasticity.
asymptotic expansion.
asymptotic formula.
asymptotic imaging.
ball.
boundary displacement.
boundary perturbation.
boundary value problem.
boundedness.
cellular structure.
compressional modulus.
crack.
density parameter.
direct imaging.
discrepancy function.
displacement field.
displacement.
elastic coefficient.
elastic equation.
elastic inclusion.
elastic moment tensor.
elastic structure.
elastic wave equation.
elastic wave propagation.
elastic wave.
elasticity equation.
elasticity imaging.
elasticity.
ellipse.
energy functional.
extended inclusion.
extended source term.
extended target.
far-field measurement.
filtered quadratic misfit.
function space.
gradient scheme.
hard inclusion.
hard inclusions.
heterogeneous shear distribution.
high contrast coefficient.
hole.
imaging functional.
inclusion.
incompressible limit.
internal displacement measurement.
layer potential.
linear elasticity.
linear transformation.
linearized reconstruction problem.
measurement noise.
medium noise.
nanoparticle.
nonlinear optimization problem.
nonlinear problem.
operator-valued function.
optimal control.
potential energy functional.
pressure.
radiation condition.
random fluctuation.
resolution.
reverse-time migration.
scalar wave equation.
search algorithm.
shape change.
shape deformation.
shape.
shear distribution.
shear modulus.
shear wave.
small crack.
small inclusion.
small-volume expansion.
small-volume inclusion.
soft inclusion.
stability analysis.
stability.
static regime.
stochastic modeling.
time-harmonic regime.
time-reversal imaging.
topological derivative.
vibration testing.
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