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
Sat Apr 20 09:13:52 MDT 2024