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Microstructural Influences on Growth and Transport in Biological Tissue-A Multiscale Description (2017)
Book Chapter
Irons, L., Collis, J., & O'Dea, R. D. (2017). Microstructural Influences on Growth and Transport in Biological Tissue-A Multiscale Description. In S. M. Becker (Ed.), Modeling of microscale transport in biological processes (311-334). Academic Press. https://doi.org/10.1016/B978-0-12-804595-4.00012-2

The detailed understanding of growth and transport dynamics within biological tissue is made particularly challenging by the complex and multiscale nature of this medium. For this reason so-called effective descriptions are frequently sought. These o... Read More about Microstructural Influences on Growth and Transport in Biological Tissue-A Multiscale Description.

Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains (2016)
Book Chapter
Antonietti, P. F., Cangiani, A., Collis, J., Dong, Z., Georgoulis, E. H., Giani, S., & Houston, P. (2016). Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains. In G. R. Barrenechea, F. Brezzi, A. Cangiani, & E. H. Georgoulis (Eds.), Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations (281-310). Cham: Springer Publishing Company. https://doi.org/10.1007/978-3-319-41640-3_9

The numerical approximation of partial differential equations (PDEs) posed on complicated geometries, which include a large number of small geometrical features or microstructures, represents a challenging computational problem. Indeed, the use of st... Read More about Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains.