ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN)

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Editorial

Preface p. 305

Guillaume Bal and Houman Owhadi

Published online: 20 January 2014

DOI: https://doi.org/10.1051/m2an/2013108

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Which electric fields are realizable in conducting materials? p. 307

Marc Briane, Graeme W. Milton and Andrejs Treibergs

Published online: 20 January 2014

DOI: https://doi.org/10.1051/m2an/2013109

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An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations p. 325

Antoine Gloria, Stefan Neukamm and Felix Otto

Published online: 21 January 2014

DOI: https://doi.org/10.1051/m2an/2013110

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On a variant of random homogenization theory: convergence of the residual process and approximation of the homogenized coefficients p. 347

Frédéric Legoll and Florian Thomines

Published online: 07 February 2014

DOI: https://doi.org/10.1051/m2an/2013111

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Corrector Analysis of a Heterogeneous Multi-scale Scheme for Elliptic Equations with Random Potential p. 387

Guillaume Bal and Wenjia Jing

Published online: 20 February 2014

DOI: https://doi.org/10.1051/m2an/2013112

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Asymptotics of a Time-Splitting Scheme for the Random Schrödinger Equation with Long-Range Correlations p. 411

Christophe Gomez and Olivier Pinaud

Published online: 20 February 2014

DOI: https://doi.org/10.1051/m2an/2013113

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Sweeping preconditioners for elastic wave propagation with spectral element methods p. 433

Paul Tsuji, Jack Poulson, Björn Engquist and Lexing Ying

Published online: 20 February 2014

DOI: https://doi.org/10.1051/m2an/2013114

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A Multiscale Model Reduction Method for Partial Differential Equations p. 449

Maolin Ci, Thomas Y. Hou and Zuoqiang Shi

Published online: 20 February 2014

DOI: https://doi.org/10.1051/m2an/2013115

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A Multiscale Enrichment Procedure for Nonlinear Monotone Operators p. 475

Y. Efendiev, J. Galvis, M. Presho and J. Zhou

Published online: 11 March 2014

DOI: https://doi.org/10.1051/m2an/2013116

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Machine Computation Using the Exponentially Convergent Multiscale Spectral Generalized Finite Element Method p. 493

Ivo Babuška, Xu Huang and Robert Lipton

Published online: 11 March 2014

DOI: https://doi.org/10.1051/m2an/2013117

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Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization p. 517

Houman Owhadi, Lei Zhang and Leonid Berlyand

Published online: 11 March 2014

DOI: https://doi.org/10.1051/m2an/2013118

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Analysis of Compatible Discrete Operator schemes for elliptic problems on polyhedral meshes p. 553

Jérôme Bonelle and Alexandre Ern

Published online: 20 January 2014

DOI: https://doi.org/10.1051/m2an/2013104

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Second-order MUSCL schemes based on Dual Mesh Gradient Reconstruction (DMGR) p. 583

Christophe Berthon, Yves Coudière and Vivien Desveaux

Published online: 20 January 2014

DOI: https://doi.org/10.1051/m2an/2013105

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A modified quasi-boundary value method for the backward time-fractional diffusion problem p. 603

Ting Wei and Jun-Gang Wang

Published online: 20 January 2014

DOI: https://doi.org/10.1051/m2an/2013107

ESAIM: Mathematical Modelling and Numerical Analysis

Volume 48 / No 2 (March-April 2014)

Multiscale problems and techniques

Multiscale problems and techniques

Preface p. 305

Which electric fields are realizable in conducting materials? p. 307

An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations p. 325

On a variant of random homogenization theory: convergence of the residual process and approximation of the homogenized coefficients p. 347

Corrector Analysis of a Heterogeneous Multi-scale Scheme for Elliptic Equations with Random Potential p. 387

Asymptotics of a Time-Splitting Scheme for the Random Schrödinger Equation with Long-Range Correlations p. 411

Sweeping preconditioners for elastic wave propagation with spectral element methods p. 433

A Multiscale Model Reduction Method for Partial Differential Equations p. 449

A Multiscale Enrichment Procedure for Nonlinear Monotone Operators p. 475

Machine Computation Using the Exponentially Convergent Multiscale Spectral Generalized Finite Element Method p. 493

Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization p. 517

Analysis of Compatible Discrete Operator schemes for elliptic problems on polyhedral meshes p. 553

Second-order MUSCL schemes based on Dual Mesh Gradient Reconstruction (DMGR) p. 583

A modified quasi-boundary value method for the backward time-fractional diffusion problem p. 603