Abstract
This talk is concerned with an adaptive finite element method for exterior thermo/poro-elastic wave scattering problems in two and three dimensions. By using the Helmholtz decomposition, the coupled vectorial system is reduced to three scalar Helmholtz equations with distinct wavenumbers. A transparent boundary condition based on the Dirichlet-to-Neumann (DtN) operator is derived via Fourier series expansions, which transforms the original unbounded-domain problem into a bounded-domain formulation. Well-posedness results, a priori and a posteriori error estimates are established, where the error analysis incorporates both finite element discretization and DtN truncation errors. Numerical experiments demonstrate the accuracy and efficiency of the proposed adaptive method.