Identification of the hydraulic conductivity of a material in time-dependent diffusion problems: least-squares finite-difference and energy boundary element sollutions

摘要

The problem under investigation is given by the diffusion equation with unknown spacewise dependent coefficients, satisfying general boundary conditions and with limited measurements recorded by boundary sensors. A least-squares finite-difference scheme (FDM) and an energy direct boundary element method (BEM) produced numerical solutions which compared well with the exact solution for constant and quadratic hydraulic conductivities of materials subjected to a one-dimensional pump flow test.