Inverse problems with applications in science and engineering
- Boca raton : Chapman and Hall/CRC, 2022
- xv,342 p. ; ill; 24 cm.
Includes bibliographical references and index.
Driven the advancement of industrial mathematics and the need for impact case studies, Inverse Problems with Applications in Science and Engineering thoroughly examines the state-of-the-art of some representative classes of inverse and ill-posed problems for partial differential equations (PDEs). The natural practical applications of this examination arise in heat transfer, electrostatics, porous media, acoustics, fluid and solid mechanics - all of which are addressed in this text. Features: Covers all types of PDEs, namely, elliptic (Laplace's, Helmholtz, modified Helmholtz, biharmonic, Stokes), parabolic (heat, convection-reaction-diffusion) and hyperbolic (wave) Excellent reference for post-graduates and researchers in mathematics, engineering, and any other scientific disciplines that deal with inverse problems Contains both theory and numerical algorithms for solving all types of inverse and ill-posed problems.
9780367001988
Inverse problems Differential equations Adjoint problem Boundary element method (BEM) Conjugate gradient method(CGM) Discrepancy principle Fundamental solution Heaviside function Ill-posedness Kirchhoff transformation L-curve Landweber-Fridman method (LFM) Ritz-Galerkin method Tikhonov regularization Wave equation