Wolfgang Bangerth
Mesh Adaptivity and Error Control for a Finite Element Approximation of the Elastic Wave Equation
Proceedings of the Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation (Waves2000), Santiago de Compostela, Spain, July 10-14, 2000, pp. 725-729.

An approach to solve the elastic wave equation by adaptive finite elements is presented. The strategy for adaptivity is founded on an a posteriori residual-based error estimate, where the error is measured with respect to an arbitrary target functional, allowing to focus the simulation to the computation of a given quantity of interest. The cell-wise error indicators are computationally evaluated and used for refinement of the space-time mesh. The resulting grids are usually highly localized and tailored to the target functional. The performance of the approach is demonstrated with two examples.



Wolfgang Bangerth
Mon Jul 17 15:58:29 MDT 2017