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Benjamin Stamm

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Analysis of the Feshbach-Schur method for the Fourier Spectral discretizations of Schrödinger operators

Geneviève Dusson , Israel Michael Sigal , Benjamin Stamm
Mathematics of Computation, 2023, ⟨10.1090/mcom/3774⟩
Journal articles hal-02919770v2
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Post-processing of the planewave approximation of Schrödinger equations. Part I: linear operators

Eric Cancès , Geneviève Dusson , Yvon Maday , Benjamin Stamm , Martin Vohralík
IMA Journal of Numerical Analysis, 2021, 41 (4), pp.2423-2455. ⟨10.1093/imanum/draa044⟩
Journal articles hal-01908039v4
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An embedded corrector problem for homogenization. Part II: Algorithms and discretization

Eric Cancès , Virginie Ehrlacher , Frédéric Legoll , Benjamin Stamm , Shuyang Xiang
Journal of Computational Physics, 2020, 407, pp.109254. ⟨10.1016/j.jcp.2020.109254⟩
Journal articles hal-01903486v1
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An Integral Equation Formulation of the $N$-Body Dielectric Spheres Problem. Part II: Complexity Analysis

Bérenger Bramas , Muhammad Hassan , Benjamin Stamm
ESAIM: Mathematical Modelling and Numerical Analysis, 2020, ⟨10.1051/m2an/2020055⟩
Journal articles hal-02913501v1

An embedded corrector problem for homogenization. Part I: Theory

Eric Cancès , Virginie Ehrlacher , Frédéric Legoll , Benjamin Stamm , Shuyang Xiang
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2020, 18 (3), pp.1179-1209. ⟨10.1137/18M120035X⟩
Journal articles hal-01840993v1
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Guaranteed a posteriori bounds for eigenvalues and eigenvectors: multiplicities and clusters

Eric Cancès , Geneviève Dusson , Yvon Maday , Benjamin Stamm , Martin Vohralík
Mathematics of Computation, 2020, 89 (326), pp.2563-2611. ⟨10.1090/mcom/3549⟩
Journal articles hal-02127954v3
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A Domain Decomposition Method for the Poisson-Boltzmann Solvation Models

Chaoyu Quan , Benjamin Stamm , Yvon Maday
SIAM Journal on Scientific Computing, 2019, ⟨10.1137/18M119553X⟩
Journal articles hal-02170834v1
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How to make continuum solvation incredibly fast in a few simple steps: a practical guide to the domain decomposition paradigm for the Conductor-like Screening Model Continuum Solvation, Linear Scaling, Domain Decomposition

Benjamin Stamm , Louis Lagardère , Giovanni Scalmani , Paolo Gatto , Eric Cancès
International Journal of Quantum Chemistry, 2019, 119, pp.e25669. ⟨10.1002/qua.25669⟩
Journal articles hal-01793770v1
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A coherent derivation of the Ewald summation for arbitrary orders of multipoles: The self-terms

Benjamin Stamm , Louis Lagardere , Etienne Polack , Yvon Maday , Jean-Philip Piquemal
The Journal of Chemical Physics, 2018, 149 (12), pp.124103. ⟨10.1063/1.5044541⟩
Journal articles hal-01897263v1
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Tinker-HP: a Massively Parallel Molecular Dynamics Package for Multiscale Simulations of Large Complex Systems with Advanced Point Dipole Polarizable Force Fields

Louis Lagardère , Luc-Henri Jolly , Filippo Lipparini , Félix Aviat , Benjamin Stamm
Chemical Science, 2018, 9, pp.956-972 ⟨10.1039/C7SC04531J⟩
Journal articles hal-01648245v3
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Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework

Eric Cancès , Geneviève Dusson , Yvon Maday , Benjamin Stamm , Martin Vohralík
Numerische Mathematik, 2018, 140 (4), pp.1033-1079. ⟨10.1007/s00211-018-0984-0⟩
Journal articles hal-01483461v3
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Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: conforming approximations

Eric Cancès , Geneviève Dusson , Yvon Maday , Benjamin Stamm , Martin Vohralík
SIAM Journal on Numerical Analysis, 2017, 55 (5), pp.2228-2254. ⟨10.1137/15M1038633⟩
Journal articles hal-01194364v3
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Meshing molecular surfaces based on analytical implicit representation

Chaoyu Quan , Benjamin Stamm
Journal of Molecular Graphics and Modelling, 2017, 71, pp.200-210. ⟨10.1016/j.jmgm.2016.11.008⟩
Journal articles hal-01248532v2

A new discretization for the polarizable continuum model within the domain decomposition paradigm

Benjamin Stamm , Eric Cancès , Filippo Lipparini , Yvon Maday
The Journal of Chemical Physics, 2016, 144 (5), ⟨10.1063/1.4940136⟩
Journal articles hal-01435973v1
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Mathematical Analysis and Calculation of Molecular Surfaces

Chaoyu Quan , Benjamin Stamm
Journal of Computational Physics, 2016, ⟨10.1016/j.jcp.2016.07.007⟩
Journal articles hal-01205580v2
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A perturbation-method-based post-processing for the planewave discretization of Kohn–Sham models

Eric Cancès , Geneviève Dusson , Yvon Maday , Benjamin Stamm , Martin Vohralík
Journal of Computational Physics, 2016, 307, pp.446-459. ⟨10.1016/j.jcp.2015.12.012⟩
Journal articles hal-01140818v2

A posteriori error estimates for discontinuous Galerkin methods using non-polynomial basis functions. Part I: Second order linear PDE

Lin Lin , Benjamin Stamm
ESAIM: Mathematical Modelling and Numerical Analysis, 2015, 50 (4), pp.1193 - 1222. ⟨10.1051/m2an/2015069⟩
Journal articles hal-01223165v1

Achieving Linear Scaling in Computational Cost for a Fully Polarizable MM/Continuum Embedding

Stefano Capresecca , Sandro Jurinovich , Louis Lagardere , Benjamin Stamm , Filippo Lipparini
Journal of Chemical Theory and Computation, 2015, 11 (2), pp.694-704. ⟨10.1021/ct501087m⟩
Journal articles hal-01223159v1

Polarizable Molecular Dynamics in a Polarizable Continuum Solvent

Filippo Lipparini , Louis Lagardère , Christophe Raynaud , Benjamin Stamm , Eric Cancès
Journal of Chemical Theory and Computation, 2015, 11 (2), pp.623-634. ⟨10.1021/ct500998q⟩
Journal articles hal-01114784v1

A Total Variation Discontinuous Galerkin Approach for Image Restoration

Benjamin Stamm , Thomas P. Wihler
International Journal of Numerical Analysis and Modeling, 2015, 12 (1), pp.81--93
Journal articles hal-01090959v1

Scalable Evaluation of Polarization Energy and Associated Forces in Polarizable Molecular Dynamics: II. Towards Massively Parallel Computations using Smooth Particle Mesh Ewald

Louis Lagardere , Filippo Lipparini , Etienne Polack , Benjamin Stamm , Eric Cancès
Journal of Chemical Theory and Computation, 2015, 11 (6), pp.2589-2599. ⟨10.1021/acs.jctc.5b00171⟩
Journal articles hal-01223161v1

An embedded corrector problem to approximate the homogenized coefficients of an elliptic equation

Eric Cancès , Virginie Ehrlacher , Frédéric Legoll , Benjamin Stamm
Comptes Rendus. Mathématique, 2015, 353 (9), pp.801-806. ⟨10.1016/j.crma.2015.06.019⟩
Journal articles hal-01100681v1
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A perturbation-method-based a posteriori estimator for the planewave discretization of nonlinear Schrödinger equations

Eric Cancès , Geneviève Dusson , Yvon Maday , Benjamin Stamm , Martin Vohralík
Comptes Rendus. Mathématique, 2014, 352 (11), pp.941-946. ⟨10.1016/j.crma.2014.09.014⟩
Journal articles hal-00994568v1

Scalable Evaluation of Polarization Energy and Associated Forces in Polarizable Molecular Dynamics: I. Toward Massively Parallel Direct Space Computations

Filippo Lipparini , Louis Lagardère , Benjamin Stamm , Eric Cancès , Michael Schnieders
Journal of Chemical Theory and Computation, 2014, 10 (4), pp.1638-1651. ⟨10.1021/ct401096t⟩
Journal articles hal-01090942v1

Quantum, classical, and hybrid QM/MM calculations in solution: General implementation of the ddCOSMO linear scaling strategy

Filippo Lipparini , Giovanni Scalmani , Louis Lagardère , Benjamin Stamm , Eric Cancès
The Journal of Chemical Physics, 2014, 141 (18), pp.184108. ⟨10.1063/1.4901304⟩
Journal articles hal-01090954v1

Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods

Jan S. Hesthaven , Benjamin Stamm , Shun Zhang
Gradhiva : revue d'histoire et d'archives de l'anthropologie , 2014, 48 (1), pp.259-283. ⟨10.1051/m2an/2013100⟩
Journal articles hal-01090919v1

Quantum Calculations in Solution for Large to Very Large Molecules: A New Linear Scaling QM/Continuum Approach

Filippo Lipparini , Louis Lagardère , Giovanni Scalmani , Benjamin Stamm , Eric Cancès
Journal of Physical Chemistry Letters, 2014, 5, pp.953-958. ⟨10.1021/jz5002506⟩
Journal articles hal-00956401v1
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Domain decomposition for implicit solvation models

Eric Cancès , Yvon Maday , Benjamin Stamm
The Journal of Chemical Physics, 2013, 139, pp.054111. ⟨10.1063/1.4816767⟩
Journal articles hal-00916139v1
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Locally Adaptive Greedy Approximations for Anisotropic Parameter Reduced Basis Spaces

Yvon Maday , Benjamin Stamm
SIAM Journal on Scientific Computing, 2013, 35 (6), pp.A2417-A2441. ⟨10.1137/120873868⟩
Journal articles hal-00690830v1

Fast Domain Decomposition Algorithm for Continuum Solvation Models: Energy and First Derivatives

Filippo Lipparini , Yvon Maday , Benjamin Stamm , Eric Cancès , Benedetta Mennucci
Journal of Chemical Theory and Computation, 2013, 9, pp.3637-3648. ⟨10.1021/ct400280b⟩
Journal articles hal-00956397v1

Certified Reduced Basis Method for the Electric Field Integral Equation

J. S. Hesthaven , Benjamin Stamm , S. Zhang
SIAM Journal on Scientific Computing, 2012, 34 (3), pp.A1777-A1799. ⟨10.1137/110848268⟩
Journal articles hal-01090932v1

A reduced basis method for electromagnetic scattering by multiple particles in three dimensions

M. Ganesh , J.S. Hesthaven , Benjamin Stamm
Journal of Computational Physics, 2012, 231 (23), pp.7756-7779. ⟨10.1016/j.jcp.2012.07.008⟩
Journal articles hal-01090927v1

Parameter multi-domain ‘hp’ empirical interpolation

Jens L. Eftang , Benjamin Stamm
International Journal for Numerical Methods in Engineering, 2012, 90 (4), pp.412--428. ⟨10.1002/nme.3327⟩
Journal articles hal-01090915v1

A posteriori estimates for the Bubble Stabilized Discontinuous Galerkin Method

Benjamin Stamm
Journal of Computational and Applied Mathematics, 2011, 235 (15), pp.4309-4324. ⟨10.1016/j.cam.2011.03.017⟩
Journal articles hal-01090960v1

The reduced basis method for the electric field integral equation

M. Fares , J.S. Hesthaven , Yvon Maday , Benjamin Stamm
Journal of Computational Physics, 2011, 230 (14), pp.5532--5555. ⟨10.1016/j.jcp.2011.03.023⟩
Journal articles hal-01090913v1

Bubble stabilized discontinuous Galerkin methods on conforming and non-conforming meshes

Erik Burman , Benjamin Stamm
Calcolo, 2011, 48 (2), pp.189-209. ⟨10.1007/s10092-010-0036-3⟩
Journal articles hal-01090946v1

Interior Penalty Continuous and Discontinuous Finite Element Approximations of Hyperbolic Equations

Erik Burman , Alfio Quarteroni , Benjamin Stamm
Journal of Scientific Computing, 2010, 43 (3), pp.293-312. ⟨10.1007/s10915-008-9232-6⟩
Journal articles hal-01090920v1

$hp$-Optimal discontinuous Galerkin methods for linear elliptic problems

Benjamin Stamm , Thomas P. Wihler
Encyclopedia of Computational Mathematics, 2010, 79 (272), pp.2117-2133. ⟨10.1090/S0025-5718-10-02335-5⟩
Journal articles hal-01090918v1

Bubble stabilized discontinuous Galerkin method for parabolic and elliptic problems

Erik Burman , Benjamin Stamm
Numerische Mathematik, 2010, 116 (2), pp.213-241. ⟨10.1007/s00211-010-0304-9⟩
Journal articles hal-01090929v1

BUBBLE STABILIZED DISCONTINUOUS GALERKIN METHOD FOR STOKES' PROBLEM

Erik Burman , Benjamin Stamm
Mathematical Models and Methods in Applied Sciences, 2010, 20 (02), pp.297--313. ⟨10.1142/S0218202510004234⟩
Journal articles hal-01090930v1

Low Order Discontinuous Galerkin Methods for Second Order Elliptic Problems

E. Burman , Benjamin Stamm
SIAM Journal on Numerical Analysis, 2009, 47 (1), pp.508-533. ⟨10.1137/070685105⟩
Journal articles hal-01090916v1

Symmetric and non-symmetric discontinuous Galerkin methods stabilized using bubble enrichment

Erik Burman , Benjamin Stamm
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2008, 346 (1-2), pp.103-106. ⟨10.1016/j.crma.2007.11.016⟩
Journal articles hal-01090921v1

Stabilization Strategies for High Order Methods for Transport Dominated Problems

Erik Burman , Alfio Quarteroni , Benjamin Stamm
Bollettino dell'Unione Matematica Italiana, 2008, 1 (1), pp.57-78
Journal articles hal-01090933v1

Local discontinuous Galerkin method with reduced stabilization for diffusion equations

Erik Burman , Benjamin Stamm
Communications in Computational Physics, 2008, 5, pp.498-514
Journal articles hal-01090926v1

The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders

Erik Burman , Alexandre Ern , Igor Mozolevski , Benjamin Stamm
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2007, 345 (10), pp.599--602. ⟨10.1016/j.crma.2007.10.028⟩
Journal articles hal-01090911v1

Minimal Stabilization for Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems

E. Burman , Benjamin Stamm
Journal of Scientific Computing, 2007, 33 (2), pp.183-208. ⟨10.1007/s10915-007-9149-5⟩
Journal articles hal-01090917v1

Comparison of some Reduced Representation Approximations

Mario Bebendorf , Yvon Maday , Benjamin Stamm
Quarteroni, Alfio and Rozza, Gianluigi. Reduced Order Methods for Modeling and Computational Reduction, 9, pp.67-100, 2014, MS&A - Modeling, Simulation and Applications, 978-3-319-02090-7
Book sections hal-00825315v1