Impact of Public Debt on Economic Growth in Advanced Economies

This paper examines the impact of public debt on the economic growth in advanced economies over a period of 1946 to 2009, using an econometric approach. The findings suggested an inverse relationship between public debt and economic growth in advanced economies. These relationships were found to be significant as well. Model results also show that the real GDP growth rate does not decline sharply whether the public debt-to-GDP ratio is lower than 220%. The public debt-to-GDP ratio elasticity of the real growth rate shows that an increase of 1% in public debt/GDP category above 120% decreases the real GDP growth rate in 1.13%. The negative effect of public debt is only stronger on the real GDP growth rate in advanced economies when the public debt-to-GDP ratio is above 220%. Finally, these findings lead us to reassess the austerity agenda, and the governments should devise new strategies for public debt management in advanced economies, taking into account their economic and financial performance.

A staggered approach for the coupling of Cahn–Hilliard type diffusion and finite strain elasticity

We develop an algorithm and computational implementation for simulation of problems that combine Cahn–Hilliard type diffusion with finite strain elasticity. We have in mind applications such as the electro-chemo- mechanics of lithium ion (Li-ion) batteries. We concentrate on basic computational aspects. A staggered algorithm is pro- posed for the coupled multi-field model. For the diffusion problem, the fourth order differential equation is replaced by a system of second order equations to deal with the issue of the regularity required for the approximation spaces. Low order finite elements are used for discretization in space of the involved fields (displacement, concentration, nonlocal concentration). Three (both 2D and 3D) extensively worked numerical examples show the capabilities of our approach for the representation of (i) phase separation, (ii) the effect of concentration in deformation and stress, (iii) the effect of Electronic supplementary material The online version of this article (doi:10.1007/s00466-015-1235-1) contains supplementary material, which is available to authorized users. B P. Areias pmaa@uevora.pt 1 Department of Physics, University of Évora, Colégio Luís António Verney, Rua Romão Ramalho, 59, 7002-554 Évora, Portugal 2 ICIST, Lisbon, Portugal 3 School of Engineering, Universidad de Cuenca, Av. 12 de Abril s/n. 01-01-168, Cuenca, Ecuador 4 Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstraße 15, 99423 Weimar, Germany strain in concentration, and (iv) lithiation. We analyze con- vergence with respect to spatial and time discretization and found that very good results are achievable using both a stag- gered scheme and approximated strain interpolation.