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SIAM Journal on Scientific Computing, ISSN 1064-8275, 2016, Volume 38, Issue 4, pp. C426 - C440
We investigate a domain decomposed multigrid technique, termed segmental refinement, for solving general nonlinear elliptic boundary value problems. We extend... 
Distributed memory multigrid | Segmental refinement | Multigrid | Parallel multigrid | EQUATIONS | parallel multigrid | MATHEMATICS, APPLIED | segmental refinement | distributed memory multigrid | multigrid | Mathematics - Numerical Analysis | MATHEMATICS AND COMPUTING
Journal Article
SIAM JOURNAL ON SCIENTIFIC COMPUTING, ISSN 1064-8275, 2017, Volume 39, Issue 5, pp. S681 - S701
Composite optimization models consist of the minimization of the sum of a smooth (not necessarily convex) function and a nonsmooth convex function. Such models... 
composite optimization | MATHEMATICS, APPLIED | MULTIGRID METHODS | multigrid | TRUST-REGION METHOD | MODEL | nonsmooth optimization
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2018, Volume 40, Issue 4, pp. C581 - C604
The efficient solution of sparse, linear systems resulting from the discretization of partial differential equations is crucial to the performance of many... 
Parallel | Scalability | Structure | Multigrid | Stencil | MATHEMATICS, APPLIED | parallel | PERFORMANCE | multigrid | SOLVERS | stencil | structure | scalability | COMMUNICATION | multigrid, structure, parallel, scalability, stencil | MATHEMATICS AND COMPUTING | Mathematics
Journal Article
Computers & mathematics with applications (1987), ISSN 0898-1221, 2019, Volume 77, Issue 1, pp. 105 - 124
In this paper, we develop multigrid solvers for the biharmonic problem in the framework of isogeometric analysis (IgA). In this framework, one typically sets... 
Isogeometric analysis | Biharmonic problem | Robust multigrid | MATHEMATICS, APPLIED | Solvers | Robustness (mathematics) | Multigrid methods | Splines | Smoothing | Mathematics - Numerical Analysis
Journal Article
International journal for numerical methods in engineering, ISSN 0029-5981, 2011, Volume 85, Issue 8, pp. 987 - 1016
Journal Article
SIAM journal on scientific computing, ISSN 1095-7197, 2015, Volume 37, Issue 5, pp. S113 - S136
In modern large-scale supercomputing applications, algebraic multigrid (AMG) is a leading choice for solving matrix equations. However, the high cost of... 
Parallel | Scalability | Iterative methods | Multigrid | Domain decomposition | Algebraic multigrid | iterative methods | MATHEMATICS, APPLIED | parallel | domain decomposition | multigrid | CONVERGENCE | algebraic multigrid | SOLVER | scalability | MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
Journal Article
by Zhu, Yu
2006, IEEE Press series on electromagnetic wave theory, ISBN 9780471741107, Volume 28, xxviii, 408
This is the first comprehensive monograph that features state-of-the-art multigrid methods for enhancing the modeling versatility, numerical robustness, and... 
Multigrid methods (Numerical analysis) | Electromagnetic fields | Mathematical models | Physics | Fields, Waves and Electromagnetics
Book
Physics of the earth and planetary interiors, ISSN 0031-9201, 2008, Volume 171, Issue 1-4, pp. 7 - 18
Here it is documented how an existing code for modelling mantle convection in a cartesian domain, Stag3D, has been converted to model a 3D spherical shell by... 
Yin-yang grid | Spherical shell | Multigrid | Mantle convection | 3-D CONVECTION | INFINITE PRANDTL NUMBER | STRONGLY VARIABLE VISCOSITY | PHASE-TRANSITIONS | GEOCHEMISTRY & GEOPHYSICS | STOKES EQUATIONS | THERMAL-CONVECTION | NUMERICAL SIMULATIONS | MULTIGRID METHOD | FLOW PROBLEMS | TEMPERATURE-DEPENDENT VISCOSITY | Earth | Usage | Models | Mantle
Journal Article
SIAM journal on numerical analysis, ISSN 1095-7170, 2019, Volume 57, Issue 6, pp. 2519 - 2550
We present a method for the fast computation of the eigenpairs of a bijective positive symmetric linear operator L. The method is based on a combination of... 
LOCALIZATION | MATHEMATICS, APPLIED | EIGENVALUE PROBLEMS | numerical homogenization | ALGORITHM | EQUATIONS | SPARSE | multiscale eigenvalue problem | HOMOGENIZATION | multigrid iteration | SCHEME | MINIMIZATION | ROBUST | gamblet decomposition | MULTIGRID METHOD | subspace correction
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2013, Volume 35, Issue 6, pp. B1215 - B1234
This paper proposes an adaptive strategy for reusing a previously constructed coarse space by algebraic multigrid to construct a two-level solver for a problem... 
Adaptive algebraic multigrid | Monte Carlo | Multigrid | Markov chain Monte Carlo | Subsurface flow | Iterative methods | Algebraic multigrid | iterative methods | MATHEMATICS, APPLIED | multigrid | subsurface flow | algebraic multigrid | adaptive algebraic multigrid | SMOOTHED AGGREGATION | Algebra | MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
Journal Article
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 2015, Volume 284, pp. 230 - 264
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 2019, Volume 357, pp. 161 - 183
In this paper, we develop a local Fourier analysis of multigrid methods based on block-structured relaxation schemes for stable and stabilized mixed... 
Block-structured relaxation | Local Fourier analysis | Mixed finite-element methods | Monolithic multigrid | Stokes equations | MATHEMATICS, APPLIED | MULTIGRID METHODS | RELAXATION | SOLVERS | PART | FAST ITERATIVE SOLUTION | SYSTEMS | SMOOTHERS | Finite element method | Algorithms | Analysis | Methods | Mathematics - Numerical Analysis
Journal Article
SIAM journal on scientific computing, ISSN 1095-7197, 2019, Volume 41, Issue 6, pp. B1211 - B1227
This paper concerns the numerical approximation of low-energy eigenstates of the linear random Schrodinger operator. Under oscillatory high-amplitude... 
MATHEMATICS, APPLIED | random potential | iterative eigensolver | multigrid solver
Journal Article
ACM Transactions on Graphics (TOG), ISSN 0730-0301, 11/2015, Volume 34, Issue 6, pp. 1 - 13
Journal Article
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