Print Email Facebook Twitter Multigrid method for nonlinear poroelasticity equations Title Multigrid method for nonlinear poroelasticity equations Author Luo, P. (TU Delft Numerical Analysis) Rodrigo, C (Universidad de Zaragoza) Gaspar, F. J. (Universidad de Zaragoza) Oosterlee, C.W. (TU Delft Numerical Analysis; Centrum Wiskunde & Informatica (CWI)) Date 2015 Abstract In this study, a nonlinear multigrid method is applied for solving the system of incompressible poroelasticity equations considering nonlinear hydraulic conductivity. For the unsteady problem, an additional artificial term is utilized to stabilize the solutions when the equations are discretized on collocated grids. We employ two nonlinear multigrid methods, i.e. the “full approximation scheme” and “Newton multigrid” for solving the corresponding system of equations arising after discretization. For the steady case, both homogeneous and heterogeneous cases are solved and two different smoothers are examined to search for an efficient multigrid method. Numerical results show a good convergence performance for all the strategies. Subject Collocated gridCoupled systemHeterogeneityMultigridNonlinearityPoroelasticityWeibull function To reference this document use: http://resolver.tudelft.nl/uuid:71763e99-e046-4291-9990-8a8be25d75a6 DOI https://doi.org/10.1007/s00791-016-0260-8 ISSN 1432-9360 Source Computing and Visualization in Science, 17 (5), 255-265 Part of collection Institutional Repository Document type journal article Rights © 2015 P. Luo, C Rodrigo, F. J. Gaspar, C.W. Oosterlee Files PDF 10.1007_s00791_016_0260_8.pdf 1.78 MB Close viewer /islandora/object/uuid:71763e99-e046-4291-9990-8a8be25d75a6/datastream/OBJ/view