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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*

* Sun Aug 20 15:19:50 MDT 2017 *