Guaranteed fully adaptive algorithms with tailored inexact solvers for complex porous media flows

Informazioni relative al progetto

GATIPOR

ID dell’accordo di sovvenzione: 647134

DOI

10.3030/647134

Progetto chiuso

Data della firma CE 20 Maggio 2015

Data di avvio 1 Settembre 2015

Data di completamento 31 Agosto 2021

Finanziato da

• EXCELLENT SCIENCE - European Research Council (ERC)

Costo totale

€ 1 283 087,50

Contributo UE

€ 1 283 087,50

Coordinato da

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET AUTOMATIQUE
France

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I link ai risultati e alle pubblicazioni dei progetti del 7° PQ, così come i link ad alcuni tipi di risultati specifici come dataset e software, sono recuperati dinamicamente da .OpenAIRE .

Pubblicazioni

Peer reviewed articles (38)

Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver

Autori: Alexander Haberl, Dirk Praetorius, Stefan Schimanko, Martin Vohralík
Pubblicato in: Numerische Mathematik, Numero 147/3, 2021, Pagina/e 679-725, ISSN 0029-599X
Editore: Springer Verlag
DOI: 10.1007/s00211-021-01176-w

Equivalence of local-best and global-best approximations in H(curl)

Autori: Chaumont-Frelet, Théophile; Vohralík, Martin
Pubblicato in: Calcolo, Numero 58, 2021, Pagina/e 53, ISSN 1126-5434
Editore: Springer Nature Switzerland AG
DOI: 10.1007/s10092-021-00430-9

A-Posteriori-Steered $p$-Robust Multigrid with Optimal Step-Sizes and Adaptive Number of Smoothing Steps

Autori: Ani Miraçi, Jan Papež, Martin Vohralík
Pubblicato in: SIAM Journal on Scientific Computing, 2021, Pagina/e S117-S145, ISSN 1064-8275
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1349503

Contractive local adaptive smoothing based on Dörfler marking in a-posteriori-steered $p$-robust multigrid solvers

Autori: Ani Miraçi; Jan Papež; Martin Vohralík
Pubblicato in: Computational Methods in Applied Mathematics, Numero 21/2, 2021, Pagina/e 445-468, ISSN 1609-9389
Editore: De Gruyter
DOI: 10.1515/cmam-2020-0024

Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations

Autori: Clément Cancès, Flore Nabet, Martin Vohralík
Pubblicato in: Mathematics of Computation, Numero 90/328, 2021, Pagina/e 517-563, ISSN 0025-5718
Editore: American Mathematical Society
DOI: 10.1090/mcom/3577

Equivalence of local- and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H (div)

Autori: Alexandre Ern, Thirupathi Gudi, Iain Smears, Martin Vohralík
Pubblicato in: IMA Journal of Numerical Analysis, 2021, ISSN 0272-4979
Editore: Oxford University Press
DOI: 10.1093/imanum/draa103

Guaranteed and robust L 2 -norm a posteriori error estimates for 1D linear advection problems

Autori: Alexndre Ern, Martin Vohralík, Mohammad Zakerzadeh
Pubblicato in: ESAIM: Mathematical Modelling and Numerical Analysis, Numero 55, 2021, Pagina/e S447-S474, ISSN 0764-583X
Editore: EDP Sciences
DOI: 10.1051/m2an/2020041

On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation

Autori: T. Chaumont-Frelet, A. Ern, M. Vohralík
Pubblicato in: Numerische Mathematik, Numero 148/3, 2021, Pagina/e 525-573, ISSN 0029-599X
Editore: Springer Verlag
DOI: 10.1007/s00211-021-01192-w

A posteriori estimates distinguishing the error components and adaptive stopping criteria for numerical approximations of parabolic variational inequalities

Autori: Jad Dabaghi, Vincent Martin, Martin Vohralík
Pubblicato in: Computer Methods in Applied Mechanics and Engineering, Numero 367, 2020, Pagina/e 113105, ISSN 0045-7825
Editore: Elsevier BV
DOI: 10.1016/j.cma.2020.113105

Adaptive Inexact Semismooth Newton Methods for the Contact Problem Between Two Membranes

Autori: Jad Dabaghi, Vincent Martin, Martin Vohralík
Pubblicato in: Journal of Scientific Computing, Numero 84/2, 2020, Pagina/e 28, ISSN 0885-7474
Editore: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-020-01264-3

Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters

Autori: Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm, Martin Vohralík
Pubblicato in: Mathematics of Computation, Numero 89/326, 2020, Pagina/e 2563-2611, ISSN 0025-5718
Editore: American Mathematical Society
DOI: 10.1090/mcom/3549

A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows

Autori: Martin Vohralík, Soleiman Yousef
Pubblicato in: Computer Methods in Applied Mechanics and Engineering, Numero 331, 2018, Pagina/e 728-760, ISSN 0045-7825
Editore: Elsevier BV
DOI: 10.1016/j.cma.2017.11.027

An adaptive h p -refinement strategy with computable guaranteed bound on the error reduction factor

Autori: Patrik Daniel, Alexandre Ern, Iain Smears, Martin Vohralík
Pubblicato in: Computers & Mathematics with Applications, Numero 76/5, 2018, Pagina/e 967-983, ISSN 0898-1221
Editore: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2018.05.034

Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients

Autori: Patrick Ciarlet, Jr., Martin Vohralik
Pubblicato in: ESAIM: Mathematical Modelling and Numerical Analysis, 2018, ISSN 0764-583X
Editore: EDP Sciences
DOI: 10.1051/m2an/2018034

A posteriori stopping criteria for space-time domain decomposition for the heat equation in mixed formulations

Autori: Sarah Ali Hassan, Caroline Japhet, Martin Vohralík
Pubblicato in: ETNA - Electronic Transactions on Numerical Analysis, Numero 49 journal refereed 28, 2018, Pagina/e 151-181, ISSN 1068-9613
Editore: Kent State University
DOI: 10.1553/etna_vol49s151

A Posteriori Stopping Criteria for Optimized Schwarz Domain Decomposition Algorithms in Mixed Formulations

Autori: Sarah Ali Hassan, Caroline Japhet, Michel Kern, Martin Vohralík
Pubblicato in: Computational Methods in Applied Mathematics, Numero 18/3, 2018, Pagina/e 495-519, ISSN 1609-4840
Editore: Walter de Gruyter and Co.
DOI: 10.1515/cmam-2018-0010

A posteriori error estimates and stopping criteria for space-time domain decomposition for two-phase flow between different rock types

Autori: Elyes Ahmed, Sarah Ali Hassan, Caroline Japhet, Michel Kern, Martin Vohralík
Pubblicato in: The SMAI journal of computational mathematics, Numero 5, 2019, Pagina/e 195-227, ISSN 2426-8399
Editore: SMAI Journal of Computational Mathematics
DOI: 10.5802/smai-jcm.47

Discrete p-robust $$\varvec{H}({{\mathrm{div}}})$$ H ( div )

Autori: Alexandre Ern, Iain Smears, Martin Vohralík
Pubblicato in: Calcolo, Numero 54/3, 2017, Pagina/e 1009-1025, ISSN 0008-0624
Editore: Springer Verlag
DOI: 10.1007/s10092-017-0217-4

Time-Parallel Iterative Solvers for Parabolic Evolution Equations

Autori: Martin Neumüller, Iain Smears
Pubblicato in: SIAM Journal on Scientific Computing, Numero 41/1, 2019, Pagina/e C28-C51, ISSN 1064-8275
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1172466

Estimating and localizing the algebraic and total numerical errors using flux reconstructions

Autori: J. Papež, Z. Strakoš, M. Vohralík
Pubblicato in: Numerische Mathematik, Numero 138/3, 2018, Pagina/e 681-721, ISSN 0029-599X
Editore: Springer Verlag
DOI: 10.1007/s00211-017-0915-5

Guaranteed, Locally Space-Time Efficient, and Polynomial-Degree Robust a Posteriori Error Estimates for High-Order Discretizations of Parabolic Problems

Autori: Alexandre Ern, Iain Smears, Martin Vohralík
Pubblicato in: SIAM Journal on Numerical Analysis, Numero 55/6, 2017, Pagina/e 2811-2834, ISSN 0036-1429
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/16M1097626

Equilibrated flux a posteriori error estimates in $L^2(H^1)$-norms for high-order discretizations of parabolic problems

Autori: Alexandre Ern, Iain Smears, Martin Vohralík
Pubblicato in: IMA Journal of Numerical Analysis, Numero 39, 2018, Pagina/e 1158–1179, ISSN 0272-4979
Editore: Oxford University Press
DOI: 10.1093/imanum/dry035

Guaranteed and Robust a Posteriori Bounds for Laplace Eigenvalues and Eigenvectors: Conforming Approximations

Autori: Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm, Martin Vohralík
Pubblicato in: SIAM Journal on Numerical Analysis, Numero 55/5, 2017, Pagina/e 2228-2254, ISSN 0036-1429
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/15M1038633

hp-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems

Autori: Ern, Alexandre; Vohralík, Martin; Dolejší, Vít
Pubblicato in: SIAM Journal on Scientific Computing, Numero 38/5, 2016, Pagina/e A3220–A3246, ISSN 1064-8275
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/15M1026687

Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework

Autori: Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm, Martin Vohralík
Pubblicato in: Numerische Mathematik, Numero 140/4, 2018, Pagina/e 1033-1079, ISSN 0029-599X
Editore: Springer Verlag
DOI: 10.1007/s00211-018-0984-0

Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem

Autori: Martin Čermák, Frédéric Hecht, Zuqi Tang, Martin Vohralík
Pubblicato in: Numerische Mathematik, Numero 138/4, 2018, Pagina/e 1027-1065, ISSN 0029-599X
Editore: Springer Verlag
DOI: 10.1007/s00211-017-0925-3

Stable broken $H^1$ and $H(\mathrm {div})$ polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions

Autori: Alexandre Ern, Martin Vohralík
Pubblicato in: Mathematics of Computation, Numero 89/322, 2020, Pagina/e 551-594, ISSN 0025-5718
Editore: American Mathematical Society
DOI: 10.1090/mcom/3482

Localization of the $W^{-1,q}$ norm for local a posteriori efficiency

Autori: Jan Blechta, Josef Málek, Martin Vohralík
Pubblicato in: IMA Journal of Numerical Analysis, Numero 40, 2019, Pagina/e 914-950, ISSN 0272-4979
Editore: Oxford University Press
DOI: 10.1093/imanum/drz002

A posteriori error estimates for a compositional two-phase flow with nonlinear complementarity constraints

Autori: Ibtihel Ben Gharbia, Jad Dabaghi, Vincent Martin, Martin Vohralík
Pubblicato in: Computational Geosciences, Numero 24, 2020, Pagina/e 1031-1055, ISSN 1420-0597
Editore: Kluwer Academic Publishers
DOI: 10.1007/s10596-019-09909-5

Goal-oriented a posteriori error estimation for conforming and nonconforming approximations with inexact solvers

Autori: Gouranga Mallik, Martin Vohralík, Soleiman Yousef
Pubblicato in: Journal of Computational and Applied Mathematics, Numero 366, 2020, Pagina/e 112367, ISSN 0377-0427
Editore: Elsevier BV
DOI: 10.1016/j.cam.2019.112367

An adaptive h p -refinement strategy with inexact solvers and computable guaranteed bound on the error reduction factor

Autori: Patrik Daniel, Alexandre Ern, Martin Vohralík
Pubblicato in: Computer Methods in Applied Mechanics and Engineering, Numero 359, 2020, Pagina/e 112607, ISSN 0045-7825
Editore: Elsevier BV
DOI: 10.1016/j.cma.2019.112607

Post-processing of the planewave approximation of Schrödinger equations. Part I: linear operators

Autori: Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm, Martin Vohralík
Pubblicato in: IMA Journal of Numerical Analysis, 2020, ISSN 0272-4979
Editore: Oxford University Press
DOI: 10.1093/imanum/draa044

Polynomial-degree-robust H ( curl ) -stability of discrete minimization in a tetrahedron

Autori: Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
Pubblicato in: Comptes Rendus. Mathématique, Numero 358/9-10, 2020, Pagina/e 1101-1110, ISSN 1778-3569
Editore: Académie des sciences
DOI: 10.5802/crmath.133

Simple and robust equilibrated flux a posteriori estimates for singularly perturbed reaction–diffusion problems

Autori: Iain Smears, Martin Vohralík
Pubblicato in: ESAIM: Mathematical Modelling and Numerical Analysis, Numero 54/6, 2020, Pagina/e 1951-1973, ISSN 0764-583X
Editore: EDP Sciences
DOI: 10.1051/m2an/2020034

Inexpensive guaranteed and efficient upper bounds on the algebraic error in finite element discretizations

Autori: Jan Papež, Martin Vohralík
Pubblicato in: Numerical Algorithms, Numero 89, 2021, Pagina/e 371-407, ISSN 1017-1398
Editore: Baltzer Science Publishers B.V.
DOI: 10.1007/s11075-021-01118-5

A Multilevel Algebraic Error Estimator and the Corresponding Iterative Solver with $p$-Robust Behavior

Autori: Ani Miraçi, Jan Papež, Martin Vohralík
Pubblicato in: SIAM Journal on Numerical Analysis, Numero 58/5, 2020, Pagina/e 2856-2884, ISSN 0036-1429
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1275929

Stable broken H(curl) polynomial extensions and p-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem

Autori: Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
Pubblicato in: Mathematics of Computation, Numero 91, 2022, Pagina/e 37-74, ISSN 1088-6842
Editore: American Mathematical Society
DOI: 10.1090/mcom/3673

Sharp algebraic and total a posteriori error bounds for h and p finite elements via a multilevel approach. Recovering mass balance in any situation

Autori: Jan Papež, Ulrich Rüde, Martin Vohralík, Barbara Wohlmuth
Pubblicato in: Computer Methods in Applied Mechanics and Engineering, Numero 371, 2020, Pagina/e 113243, ISSN 0045-7825
Editore: Elsevier BV
DOI: 10.1016/j.cma.2020.113243

Other (5)

Semismooth and smoothing Newton methods for nonlinear systems with complementarity constraints: adaptivity and inexact resolution

Autori: Ben Gharbia, Ibtihel; Ferzly, Joëlle; Vohralík, Martin; Yousef, Soleiman
Pubblicato in: 2021
Editore: HAL Preprints Open Archive

Guaranteed contraction of adaptive inexact $hp$-refinement strategies with realistic stopping criteria

Autori: Patrik Daniel, Martin Vohralík
Pubblicato in: 2021
Editore: HAL Preprints Open Archive

A posteriori error estimates for the Richards equation

Autori: Koondanibha Mitra, Martin Vohralík
Pubblicato in: 2021
Editore: HAL Preprints Open Archive

p-robust equilibrated flux reconstruction in H(curl) based on local minimizations. Application to a posteriori analysis of the curl-curl problem

Autori: Chaumont-Frelet, Théophile; Vohralík, Martin
Pubblicato in: 2021
Editore: HAL Preprints Open Archive

A space-time multiscale mortar mixed finite element method for parabolic equations

Autori: Jayadharan, Manu; Kern, Michel; Vohralík, Martin; Yotov, Ivan
Pubblicato in: 2021
Editore: HAL Preprints Open Archive

Thesis and dissertations (3)

A-posteriori-steered and adaptive $p$-robust multigrid solvers

Autori: Ani Miraçi
Pubblicato in: Numerical Analysis [math.NA]. Sorbonne Université; INRIA Paris, 2019. English, Numero 14/12/2020, 2020
Editore: HAL Preprints Open Archive

A posteriori error estimates for variational inequalities: application to a two-phase flow in porous media

Autori: Jad Dabaghi
Pubblicato in: Numerical Analysis [math.NA]. Sorbonne Université; INRIA Paris, 2019. English, Numero 03/06/2019, 2019
Editore: HAL Preprints Open Archive

Adaptive hp-finite elements with guaranteed error contraction and inexact multilevel solvers

Autori: Patrik Daniel
Pubblicato in: Numerical Analysis [math.NA]. Sorbonne Université; INRIA Paris, 2019. English, Numero 22/03/2019, 2019
Editore: HAL Preprints Open Archive