Inexact Hierarchical Scale Separation: An Efficient Linear Solver for Discontinuous Galerkin Discretizations

[1]  J. E. Hilliard,et al.  Free Energy of a Nonuniform System. I. Interfacial Free Energy , 1958 .

[2]  Rainald Löhner,et al.  Fast p-Multigrid Discontinuous Galerkin Method for Compressible Flows at All Speeds , 2008 .

[3]  Alexander Jaust,et al.  An efficient linear solver for the hybridized discontinuous Galerkin method , 2016 .

[4]  Dmitri Kuzmin,et al.  Scale separation in fast hierarchical solvers for discontinuous Galerkin methods , 2015, Appl. Math. Comput..

[5]  Faruk O. Alpak,et al.  A phase-field method for the direct simulation of two-phase flows in pore-scale media using a non-equilibrium wetting boundary condition , 2016, Computational Geosciences.

[6]  Faruk O. Alpak,et al.  Asynchronous Hybrid Parallel SpMV in an Industrial Application , 2016, 2016 International Conference on Computational Science and Computational Intelligence (CSCI).

[7]  Jochen Schütz,et al.  A hierarchical scale separation approach for the hybridized discontinuous Galerkin method , 2017, J. Comput. Appl. Math..

[8]  Tamara G. Kolda,et al.  An overview of the Trilinos project , 2005, TOMS.

[9]  M. Araya-Polo,et al.  A Discontinuous Galerkin Finite Element Framework for the Direct Numerical Simulation of Flow on High-Resolution Pore-Scale Images , 2017 .

[10]  L. Armijo.  Minimization of functions having Lipschitz continuous first partial derivatives. , 1966 .

[11]  Beatrice Riviere,et al.  A finite volume / discontinuous Galerkin method for the advective Cahn–Hilliard equation with degenerate mobility on porous domains stemming from micro-CT imaging , 2016, Computational Geosciences.

[12]  John W. Cahn,et al.  On Spinodal Decomposition , 1961 .