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Adaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods
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A conservative generalized multiscale finite volume/element method for modeling two-phase flow with capillary pressure
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An adaptively enriched coarse space for Schwarz preconditioners for P1 discontinuous Galerkin multiscale finite element problems
Machine Learning in Adaptive Domain Decomposition Methods---Predicting the Geometric Location of Constraints
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A convergence analysis of Generalized Multiscale Finite Element Methods
Adaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three Dimensions
Alexander Heinlein, Axel Klawonn, Jascha Knepper and Oliver Rheinbach SIAM Journal on Scientific Computing 41(5) A3045 (2019) https://doi.org/10.1137/18M1220613
Robust Preconditioners via Generalized Eigenproblems for Hybrid Sparse Linear Solvers
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Multivariable bilinear subspace recursive likelihood identification for pumped storage motor
Domain Decomposition Methods in Science and Engineering XXIV
Alexander Heinlein, Axel Klawonn, Jascha Knepper and Oliver Rheinbach Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XXIV 125 373 (2018) https://doi.org/10.1007/978-3-319-93873-8_35
Domain Decomposition Methods in Science and Engineering XXIV
Leszek Marcinkowski and Talal Rahman Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XXIV 125 475 (2018) https://doi.org/10.1007/978-3-319-93873-8_45
Generalized multiscale finite element methods for space–time heterogeneous parabolic equations
Domain Decomposition Methods in Science and Engineering XXIV
Martin J. Gander and Bo Song Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XXIV 125 301 (2018) https://doi.org/10.1007/978-3-319-93873-8_28
Inverse modeling of tracer flow via a mass conservative generalized multiscale finite volume/element method and stochastic collocation
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Martin J. Gander and Atle Loneland Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XXIII 116 313 (2017) https://doi.org/10.1007/978-3-319-52389-7_32
Uncertainty quantification of two-phase flow problems via measure theory and the generalized multiscale finite element method
Preconditioning Heterogeneous $\boldsymbol{H}(\mathrm{div})$ Problems by Additive Schur Complement Approximation and Applications
Johannes Kraus, Raytcho Lazarov, Maria Lymbery, Svetozar Margenov and Ludmil Zikatanov SIAM Journal on Scientific Computing 38(2) A875 (2016) https://doi.org/10.1137/140974092
An Adaptive MultiPreconditioned Conjugate Gradient Algorithm
Upscaling of Mixed Finite Element Discretization Problems by the Spectral AMGe Method
D. Z. Kalchev, C. S. Lee, U. Villa, Y. Efendiev and P. S. Vassilevski SIAM Journal on Scientific Computing 38(5) A2912 (2016) https://doi.org/10.1137/15M1036683
Additive Schwarz preconditioner for the finite volume element discretization of symmetric elliptic problems
Domain Decomposition Methods in Science and Engineering XXII
Johannes Kraus and Maria Lymbery Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XXII 104 29 (2016) https://doi.org/10.1007/978-3-319-18827-0_3
A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems
Yalchin Efendiev, Raytcho Lazarov, Minam Moon and Ke Shi Computer Methods in Applied Mechanics and Engineering 292 243 (2015) https://doi.org/10.1016/j.cma.2014.09.036
Hierarchical multiscale modeling for flows in fractured media using generalized multiscale finite element method
Yalchin Efendiev, Seong Lee, Guanglian Li, Jun Yao and Na Zhang GEM - International Journal on Geomathematics 6(2) 141 (2015) https://doi.org/10.1007/s13137-015-0075-7
A generalized multiscale finite element method for the Brinkman equation
Simultaneous FETI and block FETI: Robust domain decomposition with multiple search directions
Pierre Gosselet, Daniel Rixen, François‐Xavier Roux and Nicole Spillane International Journal for Numerical Methods in Engineering 104(10) 905 (2015) https://doi.org/10.1002/nme.4946
Two-level additive Schwarz methods using rough polyharmonic splines-based coarse spaces
Joe Alexandersen and Boyan Stefanov Lazarov Computational Methods in Applied Sciences, Engineering and Applied Sciences Optimization 38 267 (2015) https://doi.org/10.1007/978-3-319-18320-6_15
Multiscale Simulations for Coupled Flow and Transport Using the Generalized Multiscale Finite Element Method
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Marco Buck, Oleg Iliev and Heiko Andrä Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XXI 98 237 (2014) https://doi.org/10.1007/978-3-319-05789-7_20
Mass Conservative Domain Decomposition Preconditioners for Multiscale Finite Volume Method
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Nicole Spillane, Victorita Dolean, Patrice Hauret, et al. Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XXI 98 447 (2014) https://doi.org/10.1007/978-3-319-05789-7_42
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Clemens Pechstein Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XXI 98 85 (2014) https://doi.org/10.1007/978-3-319-05789-7_7
ASYMPTOTIC EXPANSIONS FOR HIGH-CONTRAST ELLIPTIC EQUATIONS
Domain Decomposition Methods in Science and Engineering XX
Robert Scheichl Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XX 91 51 (2013) https://doi.org/10.1007/978-3-642-35275-1_5
Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems
Clemens Pechstein Lecture Notes in Computational Science and Engineering, Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems 90 63 (2013) https://doi.org/10.1007/978-3-642-23588-7_2
Multiscale Finite Element Methods for Flows on Rough Surfaces
Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems
Clemens Pechstein Lecture Notes in Computational Science and Engineering, Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems 90 247 (2013) https://doi.org/10.1007/978-3-642-23588-7_5
Automatic spectral coarse spaces for robust finite element tearing and interconnecting and balanced domain decomposition algorithms
N. Spillane and D.J. Rixen International Journal for Numerical Methods in Engineering 95(11) 953 (2013) https://doi.org/10.1002/nme.4534
Solving generalized eigenvalue problems on the interfaces to build a robust two-level FETI method
Nicole Spillane, Victorita Dolean, Patrice Hauret, Frédéric Nataf and Daniel J. Rixen Comptes Rendus. Mathématique 351(5-6) 197 (2013) https://doi.org/10.1016/j.crma.2013.03.010
Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications
Marco Buck, Oleg Iliev and Heiko Andrä Springer Proceedings in Mathematics & Statistics, Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications 45 21 (2013) https://doi.org/10.1007/978-1-4614-7172-1_2
Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications
J. Willems Springer Proceedings in Mathematics & Statistics, Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications 45 303 (2013) https://doi.org/10.1007/978-1-4614-7172-1_15
Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems
Clemens Pechstein Lecture Notes in Computational Science and Engineering, Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems 90 157 (2013) https://doi.org/10.1007/978-3-642-23588-7_3
Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems
Clemens Pechstein Lecture Notes in Computational Science and Engineering, Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems 90 215 (2013) https://doi.org/10.1007/978-3-642-23588-7_4
Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems
Clemens Pechstein Lecture Notes in Computational Science and Engineering, Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems 90 1 (2013) https://doi.org/10.1007/978-3-642-23588-7_1
Multiscale finite element coarse spaces for the application to linear elasticity