Coarse Space Construction

Coarse Space Construction is a methodological framework within multiscale finite element methods that systematically generates a reduced-dimensional approximation space by capturing essential fine-scale features through appropriately defined basis functions, thereby enabling accurate and efficient solution of partial differential equations on coarse computational grids.

Publications

3.7K

Citations

107

Authors

Institutions

Publications per year

2017–2026

Parents

Multiscale Finite Element Methods

Publications

An Introduction to Domain Decomposition Methods

Victorita Dolean, Pierre Jolivet, Frédéric Nataf · Society for Industrial and Applied Mathematics eBooks · 2015 · 341 citations

Computing, Aerospace Engineering, Mechanical Engineering +16

Algebraic multigrid methods

Jinchao Xu, Ludmil Zikatanov · Acta Numerica · 2017 · 243 citations

Computing, Computer Science, Computational Mechanics +8

Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps

Nicole Spillane, Victorita Dolean, Patrice Hauret et al. · Numerische Mathematik · 2013 · 188 citations · Full text

Engineering, Computational Engineering, Mathematics +11

Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces

Juan Galvis, Yalchin Efendiev · Multiscale Modeling and Simulation · 2010 · 164 citations

Computing, Computational Engineering, Computational Fluid Dynamics +14

An algebraic multigrid method for finite element discretizations with edge elements

S. Reitzinger, Joachim Schöberl · Numerical Linear Algebra with Applications · 2002 · 131 citations

Computing, Computational Engineering, Computational Mechanics +13

1–5 of 78

Authors

107

AK
Axel Klawonn
University of Duisburg-Essen, Germany
12 publications · 402 citations
10
h-index
AH
Alexander Heinlein
University of Cologne, Germany
8 publications · 233 citations
8
h-index
VD
Victorita Dolean
Centre National de la Recherche Scientifique, France
10 publications · 860 citations
8
h-index
OR
Oliver Rheinbach
University of Duisburg-Essen, Germany
8 publications · 292 citations
8
h-index
PS
Panayot S. Vassilevski
Lawrence Livermore National Laboratory, United States
8 publications · 195 citations
8
h-index

1–5 of 107

Institutions

1–8 of 73

Venues

SIAM Journal on Scientific Computing
16 publications · 533 citations
14
h-index
Numerical Linear Algebra with Applications
5 publications · 256 citations
5
h-index
SIAM Journal on Numerical Analysis
4 publications · 253 citations
4
h-index
ESAIM Mathematical Modelling and Numerical Analysis
3 publications · 186 citations
3
h-index
Compositio Mathematica
3 publications · 85 citations
3
h-index

1–5