Solving the fixed gravimetric boundary value problem by the finite element method using mapped infinite elements.

Abstract The numerical approach for solving the fixed gravimetric boundary value problem (FGBVP) based on finite element method (FEM) with mapped infinite elements is developed and implemented. In this approach, 3D semi-infinite domain outside Earth bounded by triangular discretization of whole Earth’s surface extends to infinity. Then FGBVP consists Laplace equation unknown disturbing potential which holds in domain, oblique derivative condition (BC) given directly at computational nodes surface, regularity way, it differs from previous FEM approaches, since solution not Dirichlet BC some part domain. As a method, prisms has been derived experiments, first, convergence proposed scheme exact tested. Afterwards, study focused reconstruction harmonic function (EGM2008) above topography. Here, special able fulfil conditions that arise correct geometrical properties elements, suitable parallel computing obtained solutions as well lie approximately altitude GOCE satellite mission have