Computational Methods in Geophysical ElectromagneticsThis monograph provides a framework for students and practitioners who are working on the solution of electromagnetic imaging in geophysics. Bridging the gap between theory and practical applied material (for example, inverse and forward problems), it provides a simple explanation of finite volume discretization, basic concepts in solving inverse problems through optimization, a summary of applied electromagnetics methods, and MATLAB??code for efficient computation. |
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adjoint algorithm approximation assume average boundary conditions calculation cell centers chapter choose complex components compute conductivity consider convergence CURL CURLT Debye model define derivatives diag(v differential equation differential operators dipole direction discuss the discretization divergence-free earth eigenvalues electric field electromagnetic estimate evaluate example experiment face variables Figure flux forward modeling forward problem Gauss-Newton method geophysical GRAD gradient GRADT Helmholtz decomposition Hessian implies inner product integral interpolation inverse problem iteration large scale problems line search linear system loop magnetic field magnetotelluric Maxwell's equations mesh midpoint method misfit mref n₁ n₂ nodal nodes nonlinear null space objective function obtain optimization problem orthogonal mesh parameters preconditioner regularization sensitivity matrix simple solution solve the system solvers sources and frequencies sources and receivers steepest descent step stochastic straightforward subspace techniques tensor mesh term vector weak form μΗ