Title: Nonlinear multigrid solvers exploiting AMGe coarse spaces with approximation properties

Journal Article · · Journal of Computational and Applied Mathematics
; ;

Not Available

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1890563
Report Number(s):
LLNL-JRNL-729901; LLNL-JRNL-740648; S0377042717305307; PII: S0377042717305307
Journal Information:
Journal of Computational and Applied Mathematics, Journal Name: Journal of Computational and Applied Mathematics Journal Issue: C Vol. 340; ISSN 0377-0427
Publisher:
ElsevierCopyright Statement
Country of Publication:
Belgium
Language:
English

References (29)

The egg model - a geological ensemble for reservoir simulation journal November 2014
Element agglomeration coarse Raviart-Thomas spaces with improved approximation properties: COARSE RAVIART-THOMAS SPACES WITH IMPROVED APPROXIMATION PROPERTIES journal January 2012
An algebraic multigrid method for Q 2 − Q 1 mixed discretizations of the Navier-Stokes equations: AMG for Q 2 − Q 1 discretization journal June 2017
Multigrid approaches to non-linear diffusion problems on unstructured meshes journal January 2001
Sparse matrix element topology with application to AMG(e) and preconditioning journal January 2002
An Assessment of Linear Versus Nonlinear Multigrid Methods for Unstructured Mesh Solvers journal January 2002
Multilevel iterative methods for mixed finite element discretizations of elliptic problems journal December 1992
Mixed finite elements in ?3 journal September 1980
Multigrid in H (div) and H (curl) journal April 2000
Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients journal January 2011
NETGEN An advancing front 2D/3D-mesh generator based on abstract rules journal July 1997
An element agglomeration nonlinear additive Schwarz preconditioned Newton method for unstructured finite element problems journal June 2005
A class of parallel two-level nonlinear Schwarz preconditioned inexact Newton algorithms journal January 2007
Finite element exterior calculus, homological techniques, and applications journal May 2006
Analysis of the Spatial Structure of Properties of Selected Aquifers journal April 1985
Preconditioning in \emph{\textbf{H}}$(\operatorname{div})$ and applications journal July 1997
Finite element exterior calculus: from Hodge theory to numerical stability journal January 2010
Multigrid methods nonlinear problems: an overview conference July 2003
Exact de Rham Sequences of Spaces Defined on Macro-Elements in Two and Three Spatial Dimensions journal January 2008
Inexact Newton Methods journal April 1982
Globally Convergent Inexact Newton Methods journal May 1994
Composing Scalable Nonlinear Algebraic Solvers journal January 2015
Numerical Multilevel Upscaling for Incompressible Flow in Reservoir Simulation: An Element-Based Algebraic Multigrid (AMGe) Approach journal January 2017
Multigrid Method for Maxwell's Equations journal January 1998
Nonlinearly Preconditioned Inexact Newton Algorithms journal January 2002
A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs journal January 1998
AMGE Based on Element Agglomeration journal January 2001
Coarse Spaces by Algebraic Multigrid: Multigrid Convergence and Upscaling Error Estimates journal April 2011
The Construction of the Coarse de Rham Complexes with Improved Approximation Properties journal January 2014

Similar Records

Related Subjects

97 MATHEMATICS AND COMPUTING
element-based algebraic multigrid (AMGe)
flow in porous media
mixed finite element method (MFEM)
multilevel numerical upscaling
nonlinear multigrid (FAS)
nonlinear saddle point problems