A Static condensation Reduced Basis Element method : approximation and a posteriori error estimation
ESAIM: M2AN, 47 1 (2013) 213-251
Published online: 2012-11-23
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
A robust and generalized effective DAE framework encompassing different methods, algorithms, and model order reduction for linear and nonlinear second order dynamical systems
David Tae and Kumar K. TammaFinite Elements in Analysis and Design 228 104043 (2024)
https://doi.org/10.1016/j.finel.2023.104043
A reduced order model for geometrically parameterized two-scale simulations of elasto-plastic microstructures under large deformations
Theron Guo, Ondřej Rokoš and Karen VeroyComputer Methods in Applied Mechanics and Engineering 418 116467 (2024)
https://doi.org/10.1016/j.cma.2023.116467
An overlapping domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition
Marco Discacciati, Ben J. Evans and Matteo GiacominiComputer Methods in Applied Mechanics and Engineering 418 116484 (2024)
https://doi.org/10.1016/j.cma.2023.116484
A one-shot overlapping Schwarz method for component-based model reduction: application to nonlinear elasticity
Angelo Iollo, Giulia Sambataro and Tommaso TaddeiComputer Methods in Applied Mechanics and Engineering 404 115786 (2023)
https://doi.org/10.1016/j.cma.2022.115786
Space‐local reduced‐order bases for accelerating reduced‐order models through sparsity
Spenser Anderson, Cristina White and Charbel FarhatInternational Journal for Numerical Methods in Engineering 124 (7) 1646 (2023)
https://doi.org/10.1002/nme.7179
Localized Model Reduction for Nonlinear Elliptic Partial Differential Equations: Localized Training, Partition of Unity, and Adaptive Enrichment
Kathrin Smetana and Tommaso TaddeiSIAM Journal on Scientific Computing 45 (3) A1300 (2023)
https://doi.org/10.1137/22M148402X
Localized model order reduction and domain decomposition methods for coupled heterogeneous systems
Niccolò Discacciati and Jan S. HesthavenInternational Journal for Numerical Methods in Engineering 124 (18) 3964 (2023)
https://doi.org/10.1002/nme.7295
Multiscale modeling of prismatic heterogeneous structures based on a localized hyperreduced-order method
A. Giuliodori, J.A. Hernández and E. SoudahComputer Methods in Applied Mechanics and Engineering 407 115913 (2023)
https://doi.org/10.1016/j.cma.2023.115913
Digital twining of an offshore wind turbine on a monopile using reduced-order modelling approach
Xiang Zhao, My Ha Dao and Quang Tuyen LeRenewable Energy 206 531 (2023)
https://doi.org/10.1016/j.renene.2023.02.067
A reduced order model approach for finite element analysis of cellular structures
Daniel A. White, Jun Kudo, Kenneth Swartz, Daniel A. Tortorelli and Seth WattsFinite Elements in Analysis and Design 214 103855 (2023)
https://doi.org/10.1016/j.finel.2022.103855
Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces
Elena Zappon, Andrea Manzoni and Alfio QuarteroniAdvances in Computational Mathematics 49 (2) (2023)
https://doi.org/10.1007/s10444-022-10008-w
Explicit synchronous partitioned scheme for coupled reduced order models based on composite reduced bases
Amy de Castro, Pavel Bochev, Paul Kuberry and Irina TezaurComputer Methods in Applied Mechanics and Engineering 417 116398 (2023)
https://doi.org/10.1016/j.cma.2023.116398
Randomized Quasi-Optimal Local Approximation Spaces in Time
Julia Schleuß, Kathrin Smetana and Lukas ter MaatSIAM Journal on Scientific Computing 45 (3) A1066 (2023)
https://doi.org/10.1137/22M1481002
Parametric estimation of a stability factor for certified reduced basis methods via adaptive Gaussian process
Shinseong Kang and Kyunghoon LeeComputer Methods in Applied Mechanics and Engineering 414 116147 (2023)
https://doi.org/10.1016/j.cma.2023.116147
Mapping of coherent structures in parameterized flows by learning optimal transportation with Gaussian models
Angelo Iollo and Tommaso TaddeiJournal of Computational Physics 471 111671 (2022)
https://doi.org/10.1016/j.jcp.2022.111671
Component-Based Reduced Order Modeling of Large-Scale Complex Systems
Cheng Huang, Karthik Duraisamy and Charles MerkleFrontiers in Physics 10 (2022)
https://doi.org/10.3389/fphy.2022.900064
Numerical Analysis of the Main Wave Propagation Characteristics in a Steel-CFRP Laminate Including Model Order Reduction
Andrey Mikhaylenko, Natalie Rauter, Nanda Kishore Bellam Muralidhar, Tilmann Barth, Dirk A. Lorenz and Rolf LammeringAcoustics 4 (3) 517 (2022)
https://doi.org/10.3390/acoustics4030032
An adaptive projection‐based model reduction method for nonlinear mechanics with internal variables: Application to thermo‐hydro‐mechanical systems
Angelo Iollo, Giulia Sambataro and Tommaso TaddeiInternational Journal for Numerical Methods in Engineering 123 (12) 2894 (2022)
https://doi.org/10.1002/nme.6964
Optimal Local Approximation Spaces for Parabolic Problems
Julia Schleuß and Kathrin SmetanaMultiscale Modeling & Simulation 20 (1) 551 (2022)
https://doi.org/10.1137/20M1384294
Data‐driven physics‐based digital twins via a library of component‐based reduced‐order models
M.G. Kapteyn, D.J. Knezevic, D.B.P. Huynh, M. Tran and K.E. WillcoxInternational Journal for Numerical Methods in Engineering 123 (13) 2986 (2022)
https://doi.org/10.1002/nme.6423
A nested hybridizable discontinuous Galerkin method for computing second-harmonic generation in three-dimensional metallic nanostructures
F. Vidal-Codina, N.-C. Nguyen, C. Ciracì, S.-H. Oh and J. PeraireJournal of Computational Physics 429 110000 (2021)
https://doi.org/10.1016/j.jcp.2020.110000
Windowed space–time least-squares Petrov–Galerkin model order reduction for nonlinear dynamical systems
Yukiko S. Shimizu and Eric J. ParishComputer Methods in Applied Mechanics and Engineering 386 114050 (2021)
https://doi.org/10.1016/j.cma.2021.114050
Domain-decomposition least-squares Petrov–Galerkin (DD-LSPG) nonlinear model reduction
Chi Hoang, Youngsoo Choi and Kevin CarlbergComputer Methods in Applied Mechanics and Engineering 384 113997 (2021)
https://doi.org/10.1016/j.cma.2021.113997
A two-level parameterized Model-Order Reduction approach for time-domain elastodynamics
Mohamed Aziz Bhouri and Anthony T. PateraComputer Methods in Applied Mechanics and Engineering 385 114004 (2021)
https://doi.org/10.1016/j.cma.2021.114004
Component-wise reduced order model lattice-type structure design
Sean McBane and Youngsoo ChoiComputer Methods in Applied Mechanics and Engineering 381 113813 (2021)
https://doi.org/10.1016/j.cma.2021.113813
Uncertainty quantification of bladed disc systems using data driven stochastic reduced order models
Rahul Kumar, Shaikh Faruque Ali, Sankarkumar Jeyaraman and Sayan GuptaInternational Journal of Mechanical Sciences 190 106011 (2021)
https://doi.org/10.1016/j.ijmecsci.2020.106011
Parametric Model Order Reduction of Guided Ultrasonic Wave Propagation in Fiber Metal Laminates with Damage
Nanda Kishore Bellam Muralidhar, Natalie Rauter, Andrey Mikhaylenko, Rolf Lammering and Dirk A. LorenzModelling 2 (4) 591 (2021)
https://doi.org/10.3390/modelling2040031
An adaptive model order reduction method for nonlinear seismic analysis of civil structures based on the elastic–plastic states
Ming Fang, Jian Wang and Hui LiInternational Journal for Numerical Methods in Engineering 122 (15) 3985 (2021)
https://doi.org/10.1002/nme.6689
Data Augmentation and Feature Selection for Automatic Model Recommendation in Computational Physics
Thomas Daniel, Fabien Casenave, Nissrine Akkari and David RyckelynckMathematical and Computational Applications 26 (1) 17 (2021)
https://doi.org/10.3390/mca26010017
(2020)
https://doi.org/10.2514/6.2020-0418
Rare event simulation for large-scale structures with local nonlinearities
Zhenying Zhang and Jan S. HesthavenComputer Methods in Applied Mechanics and Engineering 366 113051 (2020)
https://doi.org/10.1016/j.cma.2020.113051
Systematic sensor placement for structural anomaly detection in the absence of damaged states
Caterina Bigoni, Zhenying Zhang and Jan S. HesthavenComputer Methods in Applied Mechanics and Engineering 371 113315 (2020)
https://doi.org/10.1016/j.cma.2020.113315
IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018
Kathrin SmetanaIUTAM Bookseries, IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018 36 1 (2020)
https://doi.org/10.1007/978-3-030-21013-7_1
Hyper‐reduced direct numerical simulation of voids in welded joints via image‐based modeling
Laurent Lacourt, David Ryckelynck, Samuel Forest, Victor de Rancourt and Sylvain FlouriotInternational Journal for Numerical Methods in Engineering 121 (11) 2581 (2020)
https://doi.org/10.1002/nme.6320
An Adaptive Model Order Reduction Method Based on the Damage Evolution for Nonlinear Seismic Analysis
Jian Wang, Ming Fang and Hui LiAdvances in Civil Engineering 2020 1 (2020)
https://doi.org/10.1155/2020/8865255
A Domain Decomposition Model Reduction Method for Linear Convection-Diffusion Equations with Random Coefficients
Lin Mu and Guannan ZhangSIAM Journal on Scientific Computing 41 (3) A1984 (2019)
https://doi.org/10.1137/18M1170601
Numerical Mathematics and Advanced Applications ENUMATH 2017
Jonas Ballani, Phuong Huynh, David Knezevic, Loi Nguyen and Anthony T. PateraLecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2017 126 3 (2019)
https://doi.org/10.1007/978-3-319-96415-7_1
A multiscale continuous Galerkin method for stochastic simulation and robust design of photonic crystals
F. Vidal-Codina, J. Saà-Seoane, N.-C. Nguyen and J. PeraireJournal of Computational Physics: X 2 100016 (2019)
https://doi.org/10.1016/j.jcpx.2019.100016
Model order reduction for large-scale structures with local nonlinearities
Zhenying Zhang, Mengwu Guo and Jan S. HesthavenComputer Methods in Applied Mechanics and Engineering 353 491 (2019)
https://doi.org/10.1016/j.cma.2019.04.042
Randomized Local Model Order Reduction
Andreas Buhr and Kathrin SmetanaSIAM Journal on Scientific Computing 40 (4) A2120 (2018)
https://doi.org/10.1137/17M1138480
Simulation-Based Classification; a Model-Order-Reduction Approach for Structural Health Monitoring
T. Taddei, J. D. Penn, M. Yano and A. T. PateraArchives of Computational Methods in Engineering 25 (1) 23 (2018)
https://doi.org/10.1007/s11831-016-9185-0
Reduced Basis’ Acquisition by a Learning Process for Rapid On-line Approximation of Solution to PDE’s: Laminar Flow Past a Backstep
Patrick Gallinari, Yvon Maday, Maxime Sangnier, Olivier Schwander and Tommaso TaddeiArchives of Computational Methods in Engineering 25 (1) 131 (2018)
https://doi.org/10.1007/s11831-017-9238-z
An Adaptive Generalized Multiscale Discontinuous Galerkin Method for High-Contrast Flow Problems
Eric T. Chung, Yalchin Efendiev and Wing Tat LeungMultiscale Modeling & Simulation 16 (3) 1227 (2018)
https://doi.org/10.1137/140986189
Proper generalized decomposition solutions within a domain decomposition strategy
Antonio Huerta, Enrique Nadal and Francisco ChinestaInternational Journal for Numerical Methods in Engineering 113 (13) 1972 (2018)
https://doi.org/10.1002/nme.5729
A Localization Strategy for Data Assimilation; Application to State Estimation and Parameter Estimation
Tommaso Taddei and Anthony T. PateraSIAM Journal on Scientific Computing 40 (2) B611 (2018)
https://doi.org/10.1137/17M1116830
A component-based hybrid reduced basis/finite element method for solid mechanics with local nonlinearities
J. Ballani, D.B.P. Huynh, D.J. Knezevic, L. Nguyen and A.T. PateraComputer Methods in Applied Mechanics and Engineering 329 498 (2018)
https://doi.org/10.1016/j.cma.2017.09.014
Reduced Basis Methods for Uncertainty Quantification
Peng Chen, Alfio Quarteroni and Gianluigi RozzaSIAM/ASA Journal on Uncertainty Quantification 5 (1) 813 (2017)
https://doi.org/10.1137/151004550
A reduced‐order representation of the Poincaré–Steklov operator: an application to coupled multi‐physics problems
Matteo Aletti and Damiano LombardiInternational Journal for Numerical Methods in Engineering 111 (6) 581 (2017)
https://doi.org/10.1002/nme.5490
An Online Generalized Multiscale Discontinuous Galerkin Method (GMsDGM) for Flows in Heterogeneous Media
Eric T. Chung, Yalchin Efendiev and Wing Tat LeungCommunications in Computational Physics 21 (2) 401 (2017)
https://doi.org/10.4208/cicp.230815.090516a
A Static Condensation Reduced Basis Element Approach for the Reynolds Lubrication Equation
Eduard Bader, Martin A. Grepl and Siegfried MüllerCommunications in Computational Physics 21 (1) 126 (2017)
https://doi.org/10.4208/cicp.130815.180416a
Proper orthogonal decomposition‐based reduced basis element thermal modeling of integrated circuits
Daniel S. Meyer, Brian T. Helenbrook and Ming‐C. ChengInternational Journal for Numerical Methods in Engineering 112 (5) 479 (2017)
https://doi.org/10.1002/nme.5529
Certified Reduced Basis Approximation for the Coupling of Viscous and Inviscid Parametrized Flow Models
Immanuel Martini, Bernard Haasdonk and Gianluigi RozzaJournal of Scientific Computing (2017)
https://doi.org/10.1007/s10915-017-0430-y
Model Reduction of Parametrized Systems
Andreas Buhr, Christian Engwer, Mario Ohlberger and Stephan RaveMS&A, Model Reduction of Parametrized Systems 17 137 (2017)
https://doi.org/10.1007/978-3-319-58786-8_9
ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications
Andreas Buhr, Christian Engwer, Mario Ohlberger and Stephan RaveSIAM Journal on Scientific Computing 39 (4) A1435 (2017)
https://doi.org/10.1137/15M1054213
1 (2016)
https://doi.org/10.1007/978-3-319-22470-1_1
Progress in Industrial Mathematics at ECMI 2014
Laura Iapichino, Alfio Quarteroni, Gianluigi Rozza and Stefan VolkweinMathematics in Industry, Progress in Industrial Mathematics at ECMI 2014 22 647 (2016)
https://doi.org/10.1007/978-3-319-23413-7_89
Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries
Laura Iapichino, Alfio Quarteroni and Gianluigi RozzaComputers & Mathematics with Applications 71 (1) 408 (2016)
https://doi.org/10.1016/j.camwa.2015.12.001
Spectral based Discontinuous Galerkin Reduced Basis Element method for parametrized Stokes problems
Paolo Pacciarini, Paola Gervasio and Alfio QuarteroniComputers & Mathematics with Applications 72 (8) 1977 (2016)
https://doi.org/10.1016/j.camwa.2016.01.030
Reduced basis ANOVA methods for partial differential equations with high-dimensional random inputs
Qifeng Liao and Guang LinJournal of Computational Physics 317 148 (2016)
https://doi.org/10.1016/j.jcp.2016.04.029
Approximate partitioned method of snapshots for POD
Zhu Wang, Brian McBee and Traian IliescuJournal of Computational and Applied Mathematics 307 374 (2016)
https://doi.org/10.1016/j.cam.2015.11.023
Optimal Local Approximation Spaces for Component-Based Static Condensation Procedures
Kathrin Smetana and Anthony T. PateraSIAM Journal on Scientific Computing 38 (5) A3318 (2016)
https://doi.org/10.1137/15M1009603
Interactive Simulations Using Localized Reduced Basis Methods
Andreas Buhr and Mario OhlbergerIFAC-PapersOnLine 48 (1) 729 (2015)
https://doi.org/10.1016/j.ifacol.2015.05.134
Component-based reduced basis for parametrized symmetric eigenproblems
Sylvain Vallaghé, Phuong Huynh, David J Knezevic, Loi Nguyen and Anthony T PateraAdvanced Modeling and Simulation in Engineering Sciences 2 (1) (2015)
https://doi.org/10.1186/s40323-015-0021-0
103 437 (2015)
https://doi.org/10.1007/978-3-319-10705-9_43
A reduced basis method with exact-solution certificates for steady symmetric coercive equations
Masayuki YanoComputer Methods in Applied Mechanics and Engineering 287 290 (2015)
https://doi.org/10.1016/j.cma.2015.01.003
A new certification framework for the port reduced static condensation reduced basis element method
Kathrin SmetanaComputer Methods in Applied Mechanics and Engineering 283 352 (2015)
https://doi.org/10.1016/j.cma.2014.09.020
Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system
Immanuel Martini, Gianluigi Rozza and Bernard HaasdonkAdvances in Computational Mathematics 41 (5) 1131 (2015)
https://doi.org/10.1007/s10444-014-9396-6
The localized reduced basis multiscale method for two‐phase flows in porous media
S. Kaulmann, B. Flemisch, B. Haasdonk, K. ‐A. Lie and M. OhlbergerInternational Journal for Numerical Methods in Engineering 102 (5) 1018 (2015)
https://doi.org/10.1002/nme.4773
A STATIC CONDENSATION REDUCED BASIS ELEMENT APPROXIMATION: APPLICATION TO THREE-DIMENSIONAL ACOUSTIC MUFFLER ANALYSIS
D. B. P. HUYNHInternational Journal of Computational Methods 11 (03) 1343010 (2014)
https://doi.org/10.1142/S021987621343010X
An adaptive GMsFEM for high-contrast flow problems
Eric T. Chung, Yalchin Efendiev and Guanglian LiJournal of Computational Physics 273 54 (2014)
https://doi.org/10.1016/j.jcp.2014.05.007
A Dirichlet–Neumann reduced basis method for homogeneous domain decomposition problems
I. Maier and B. HaasdonkApplied Numerical Mathematics 78 31 (2014)
https://doi.org/10.1016/j.apnum.2013.12.001
Model reduction in elastoplasticity: proper orthogonal decomposition combined with adaptive sub-structuring
Annika Radermacher and Stefanie ReeseComputational Mechanics 54 (3) 677 (2014)
https://doi.org/10.1007/s00466-014-1020-6
A port-reduced static condensation reduced basis element method for large component-synthesized structures: approximation and A Posteriori error estimation
Jens L Eftang and Anthony T PateraAdvanced Modeling and Simulation in Engineering Sciences 1 (1) 3 (2014)
https://doi.org/10.1186/2213-7467-1-3
Reduced Order Methods for Modeling and Computational Reduction
Toni Lassila, Andrea Manzoni, Alfio Quarteroni and Gianluigi RozzaReduced Order Methods for Modeling and Computational Reduction 235 (2014)
https://doi.org/10.1007/978-3-319-02090-7_9
The Static Condensation Reduced Basis Element Method for a Mixed-Mean Conjugate Heat Exchanger Model
Sylvain Vallaghé and Anthony T. PateraSIAM Journal on Scientific Computing 36 (3) B294 (2014)
https://doi.org/10.1137/120887709
Port reduction in parametrized component static condensation: approximation and a posteriori error estimation
Jens L. Eftang and Anthony T. PateraInternational Journal for Numerical Methods in Engineering 96 (5) 269 (2013)
https://doi.org/10.1002/nme.4543
A static condensation reduced basis element method: Complex problems
D.B.P. Huynh, D.J. Knezevic and A.T. PateraComputer Methods in Applied Mechanics and Engineering 259 197 (2013)
https://doi.org/10.1016/j.cma.2013.02.013