Kejia Pan

Gravity Anomalies of Arbitrary 3D Polyhedral Bodies with Horizontal and Vertical Mass Contrasts

During the last 15xa0years, more attention has been paid to derive analytic formulae for the gravitational potential and field of polyhedral mass bodies with complicated polynomial density contrasts, because such formulae can be more suitable to approximate the true mass density variations of the earth (e.g., sedimentary basins and bedrock topography) than methods that use finer volume discretization and constant density contrasts. In this study, we derive analytic formulae for gravity anomalies of arbitrary polyhedral bodies with complicated polynomial density contrasts in 3D space. The anomalous mass density is allowed to vary in both horizontal and vertical directions in a polynomial form of

An unconditionally stable linearized CCDADI method for generalized nonlinear Schrdinger equations with variable coefficients in two and three dimensions

lambda =ax^m+by^n+cz^t

An unconditionally stable linearized difference scheme for the fractional Ginzburg-Landau equation

λ=axm+byn+czt, where m,xa0n,xa0t are nonnegative integers and a,xa0b,xa0c are coefficients of mass density. First, the singular volume integrals of the gravity anomalies are transformed to regular or weakly singular surface integrals over each polygon of the polyhedral body. Then, in terms of the derived singularity-free analytic formulae of these surface integrals, singularity-free analytic formulae for gravity anomalies of arbitrary polyhedral bodies with horizontal and vertical polynomial density contrasts are obtained. For an arbitrary polyhedron, we successfully derived analytic formulae of the gravity potential and the gravity field in the case of

Nanostructures imaging via numerical solution of a 3-D inverse scattering problem without the phase information ☆

mle 1

An Extrapolation Cascadic Multigrid Method for Elliptic Problems on Reentrant Domains

m≤1,