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
Thu May 4 14:55:17 MDT 2017