Spectral–finite element approach to three‐dimensional viscoelastic relaxation in a spherical earth

By Z. Martinec. 2000

150 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Geophysics, Oceanography

View Paper: https://www.semanticscholar.org/paper/d6a854f3ed64068abbf7a76c2cacaf3775eab67a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. A. Paulson
2. Jeroen Tromp
3. Dimitri Komatitsch
4. Shijie Zhong
5. P. Whitehouse
6. K. Latychev
7. John M. Wahr
8. J. Mitrovica

In Geophysics

1. P. Whitehouse
2. Jeroen Tromp
3. Dimitri Komatitsch
4. John M. Wahr
5. M. Tamisiea
6. Shijie Zhong
7. J. Mitrovica
8. A. Paulson

In Oceanography

1. P. Whitehouse
2. M. Tamisiea
3. J. Mitrovica
4. Shijie Zhong
5. John M. Wahr
6. Jeroen Tromp
7. Dimitri Komatitsch
8. G. Milne

Citations in the corpus

• Computations of the viscoelastic response of a 3-D compressible Earth to surface loading: an application to Glacial Isostatic Adjustment in Antarctica and Canada (2012, background): “D spherical Earth (e.g. Latychev 2005 and Whitehouse et al. 2006 for finite-volume modelling of a compressible Earth; Martinec 2000 and Tanaka et al. 2011 for spectral finite-element modelling of a compressible Earth; Martinec 1999 for spectral, initial value approach for a compressible Earth; Wu & ”
• On post-glacial sea level – II. Numerical formulation and comparative results on spherically symmetric models (2005, background): “Spectral finite-element codes are also being developed for this purpose (Martinec 2000).”
• Three-dimensional finite-element modelling of Earth's viscoelastic deformation: effects of lateral variations in lithospheric thickness (2003, methodology): “These include perturbation methods (Tromp & Mitrovica 2000), and numerical methods (Sabadini et al. 1986; Gasperini & Sabadini 1989; Wu 1992, 1993, 2002b; Wu et al. 1998; Giunchi et al. 1997; Kaufmann et al. 1997; Kaufmann & Wu 1998, 2002; Martinec 1999, 2000; Martinec et al. 2001).”
• Global glacial isostatic adjustment: palaeogeodetic and space‐geodetic tests of the ICE‐4G (VM2) model (2002, unknown): “…heterogeneity is significant and whether, if it is significant, its influence may be adequately described using first-order perturbation theory (e.g. Tromp and Mitrovica, 1999) or whether more demanding non-perturbative methods (e.g. Wu et al., 1998; Martinec, 2000) will in fact be required.”
• Glacial isostatic adjustment on 3‐D Earth models: a finite‐volume formulation (2005, methodology): “Because of these properties, the Euler scheme has been extensively used for viscoelastic modelling (e.g. Hanyk et al. 1995; Martinec 2000).”
• Glacial isostatic adjustment modelling: historical perspectives, recent advances, and future directions (2018, methodology): “…number of studies are making use of a framework that can accommodate three-dimensional variations in mantle viscosity (e.g. Ivins and Sammis, 1995;Martinec, 2000;Kaufmann et al., 2005;Latychev et al., 2005b;Paulson et al., 2005;Steffen et 575 al., 2006;A. et al., 2013), possibly defined via use…”