%0 Journal Article %T Absorbing Boundary Conditions for 2D Tilted Transverse Isotropic Media %+ Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP) %+ Advanced 3D Numerical Modeling in Geophysics (Magique 3D) %+ Centre scientifique et Technique Jean Feger (CSTJF) %A Barucq, Hélène %A Boillot, Lionel %A Calandra, Henri %A Diaz, Julien %< avec comité de lecture %@ 1270-900X %J ESAIM: Proceedings %I EDP Sciences %S Congrès SMAI 2013 %V 45 %P 400-409 %8 2014-09 %D 2014 %R 10.1051/proc/201445041 %Z Mathematics [math]/Analysis of PDEs [math.AP] %Z Computer Science [cs]/Modeling and SimulationJournal articles %X This work deals with the construction of a low-order absorbing boundary condition (ABC) for 2D elliptic TTI media, preserving the system stability. The construction is based on comparing and then connecting the slowness curves for isotropic and elliptic TTI waves. Numerical experiments illustrate the performance of the new ABC. They are performed by integrating the ABC in a DG formulation of Elastodynamics. When applied in a TTI medium, the new ABC performs well with the same level of accuracy than the standard isotropic ABC set in an isotropic medium. The condition demonstrates also a good robustness when applied for large times of simulation. %G English %Z Strategic Action Depth Imaging Partnership %2 https://inria.hal.science/hal-01085442/document %2 https://inria.hal.science/hal-01085442/file/proc144541.pdf %L hal-01085442 %U https://inria.hal.science/hal-01085442 %~ CNRS %~ INRIA %~ UNIV-PAU %~ IRISA %~ LMA-PAU %~ INRIA-BORDEAUX %~ INSMI %~ INRIA_TEST %~ TESTALAIN1 %~ TESTBORDEAUX %~ INRIA2 %~ TDS-MACS %~ UR1-MATH-STIC %~ UR1-UFR-ISTIC %~ INRIA-300009 %~ UR1-MATH-NUM %~ UPPA-OA