[00307] Advanced Solver for Computational Poromechanics
Session Time & Room : 2C (Aug.22, 13:20-15:00) @D404
Type : Proposal of Minisymposium
Abstract : The numerical simulation of coupled flow and mechanical deformation in porous media is desired in several branches of technology and natural sciences for analyzing experimental data and designing quantitative theories based on mathematical concepts. The fluid-structure interaction is subject to various complexities and multiscale mechanisms. This is due to the mixed or mixed dimensional type of the model equations, nonlinearities in constitutive relations or boundary conditions, functionals used in variational formulations of error control or optimization problems. Recent progress in the design, analysis and application to large-scale problems of robust and efficient solvers for poromechanics is presented by leading experts.
[01387] A coupled multi-field model of dynamic poro-elasticity in anisotropic porous media
Format : Talk at Waseda University
Author(s) :
Massimiliano Ferronato (University of Padova)
Nico De Marchi (University of Padova)
Giovanna Xotta (University of Padova)
Valentina Salomoni (University of Padova)
Abstract : A fully coupled multi–field model for the dynamic simulation of anisotropic porous materials is presented. The multi-field formulation of the dynamic poro-elastic PDEs is addressed by using inf-sup stable Finite Element spaces and solved in a fully-implicit way. The GMRES convergence of the discrete non-symmetric linearized systems is accelerated by an ad-hoc Multi-Physics Reduction preconditioning technique. A set of dynamic test problems verify the potential and computational efficiency of the proposed numerical model.
[01468] Space-time finite element multigrid solver for fully dynamic poroelasticity
Format : Talk at Waseda University
Author(s) :
Markus Bause (Helmut Schmidt University Hamburg)
Mathias Anselmann (Helmut Schmidt University Hamburg)
Abstract : Space-time finite element methods ((STFEMs)) allow the natural construction of higher order discretizations and to achieve accurate results on computationally feasible grids. We present and analyze higher order STFEMs for two- and multi-field modelling of poroelastic wave propagation studied, for instance, in computational seismology or biomedicine. To solve the arising complex algebraic systems, geometric multigrid preconditioning with local Vanka-type smoother of GMRES iterations is suggested. The STFEMs performance is investigated for three-dimensional test problems.
[01676] Multiscale Dynamics in Glioblastoma Growth and Spread within the Fibrous Brain Environment
Format : Talk at Waseda University
Author(s) :
Dumitru Trucu (University of Dundee, Division of Mathematics)
Abstract : Despite significant recent advancements, the 3D glioblastoma invasion patterns in the brain are still poorly understood. A particular role in the collective migration of the glioblastoma cells is played by the distribution of both major brain fibres and collagen fibres present at the tumour site. To address this aspect, in this talk we present our recent advances in this direction, focusing on our recent 3D multiscale moving-boundary modelling and computational framework development for glioblastoma invasion.
[01820] Efficient splitting schemes for poromechanics
Format : Online Talk on Zoom
Author(s) :
Florin Adrian Radu (University of Bergen)
Abstract : In this work we will present robust and efficient numerical schemes for poromechanics. Monolithic or splitting solvers will be discusssed. A special focus will be on non-linear poromechanics models, including soft material poromechanics. Splitting ideas will be combined with L-scheme and Anderson acceleratin to design robust and effective numerical schemes. Convergence aspects will be discussed both theoretically and numerically.
