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- Jacobo Bielak, K. Loukakis, +7 authors Jacobo Bielak
- 2005

We thank Faccioli, Vanini, Paolucci, and Stupazzini for their interest in our articles (Bielak et al., 2003; Yoshimura et al., 2003; hereafter I and II). We will refer to their comments (Faccioli et al., 2004) as FVPS. The primary aim of FVPS is (1) to illustrate the implementation by FVPS of the domain reduction method (DRM) described in I and II for the… (More)

Unstructured hexahedral mesh generation is a critical part of the modeling process in the Spectral-Element Method (SEM). We present some examples of seismic wave propagation in complex geological models, automatically meshed on a parallel machine based upon CUBIT (Sandia Laboratory, cubit.sandia.gov), an advanced 3D unstructured hexahedral mesh generator… (More)

- Heiner Igel, Martin Käser, Marco Stupazzini
- Encyclopedia of Complexity and Systems Science
- 2009

Glossary Numerical methods Processes in nature are often described by partial differential equations. Finding solutions to those equations is at the heart of many studies aiming at the explanation of observed data. Simulations of realistic physical processes requires generally the use of numerical methods – a special branch of applied mathematics – that… (More)

- Jacobo Bielak, K. Loukakis, Yoshiaki Hisada, Chuzo Yoshimura, Antonio Fernandez, Marco Stupazzini
- 2005

The combination of different methods, analytical and/ or numerical, represents an effective tool for reducing the computational effort required by large-scale 3D numerical wave propagation from a half-space (containing the seismic source) into a localized region containing strong geological or topographical irregularities, such as sedimentary basins. This… (More)

- Masumi Yamada, Anna Olsen, +5 authors Manuela Villani
- 2011

The comment by Paolucci and colleagues (Paolucci et al., 2011) states that a probabilistic seismic hazard analysis (PSHA) can provide “reliable prediction of long-period spectral ordinates.” The result of such an analysis would be in contrast to the more uncertain prediction suggested by our empirical, and proposed theoretical, distribution of nearsource… (More)

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