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

ESAIM: M2AN publishes original research papers of high scientific quality in two areas: Mathematical Modelling, and Numerical Analysis. Read more

Error analysis of a FVEM for fractional order evolution equations with nonsmooth initial data

Samir Karaa and Amiya K. Pani

ESAIM: M2AN, 52 2 (2018) 773-801

Published online: 20 July 2018

DOI: https://doi.org/10.1051/m2an/2018029
- PDF (1.250 MB)
- References
Cauchy–Born strain energy density for coupled incommensurate elastic chains

Paul Cazeaux and Mitchell Luskin

ESAIM: M2AN, 52 2 (2018) 729-749

Published online: 19 July 2018

DOI: https://doi.org/10.1051/m2an/2017057
- PDF (1.227 MB)
- References
Uniform in time error analysis of HDG approximation for Schrödinger equation based on HDG projection

Chunguang Xiong, Fusheng Luo and Xiuling Ma

ESAIM: M2AN, 52 2 (2018) 751-772

Published online: 19 July 2018

DOI: https://doi.org/10.1051/m2an/2017058
- PDF (457.0 KB)
- References
A uniformly accurate (UA) multiscale time integrator pseudospectral method for the nonlinear Dirac equation in the nonrelativistic limit regime

Yongyong Cai and Yan Wang

ESAIM: M2AN, 52 2 (2018) 543-566

Published online: 11 July 2018

DOI: https://doi.org/10.1051/m2an/2018015
- PDF (689.5 KB)
- References
Modeling of a diffusion with aggregation: rigorous derivation and numerical simulation

Li Chen, Simone Göttlich and Stephan Knapp

ESAIM: M2AN, 52 2 (2018) 567-593

Published online: 11 July 2018

DOI: https://doi.org/10.1051/m2an/2018028
- PDF (1.787 MB)
- References
Analysis of a mimetic finite difference approximation of flows in fractured porous media

Luca Formaggia, Anna Scotti and Federica Sottocasa

ESAIM: M2AN, 52 2 (2018) 595-630

Published online: 11 July 2018

DOI: https://doi.org/10.1051/m2an/2017028
- PDF (2.997 MB)
- References
Sparse quadrature for high-dimensional integration with Gaussian measure

Peng Chen

ESAIM: M2AN, 52 2 (2018) 631-657

Published online: 11 July 2018

DOI: https://doi.org/10.1051/m2an/2018012
- PDF (1.601 MB)
- References
Multiple traces formulation and semi-implicit scheme for modelling biological cells under electrical stimulation

Fernando Henríquez and Carlos Jerez-Hanckes

ESAIM: M2AN, 52 2 (2018) 659-703

Published online: 11 July 2018

DOI: https://doi.org/10.1051/m2an/2018019
- PDF (3.741 MB)
- References
Open Access

Goal-oriented error estimation for parameter-dependent nonlinear problems

Alexandre Janon, Maëlle Nodet, Christophe Prieur and Clémentine Prieur

ESAIM: M2AN, 52 2 (2018) 705-728

Published online: 11 July 2018

DOI: https://doi.org/10.1051/m2an/2018003
- PDF (704.8 KB)
- References

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

Error analysis of a FVEM for fractional order evolution equations with nonsmooth initial data

Cauchy–Born strain energy density for coupled incommensurate elastic chains

Uniform in time error analysis of HDG approximation for Schrödinger equation based on HDG projection

A uniformly accurate (UA) multiscale time integrator pseudospectral method for the nonlinear Dirac equation in the nonrelativistic limit regime

Modeling of a diffusion with aggregation: rigorous derivation and numerical simulation

Analysis of a mimetic finite difference approximation of flows in fractured porous media

Sparse quadrature for high-dimensional integration with Gaussian measure

Multiple traces formulation and semi-implicit scheme for modelling biological cells under electrical stimulation

Goal-oriented error estimation for parameter-dependent nonlinear problems

The correct use of the Lax–Friedrichs method

Error estimates for the Ultra Weak Variational Formulation of the Helmholtz equation

A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations

Conforming and nonconforming finite element methods for solving the stationary Stokes equations I

Evaluation of the condition number in linear systems arising in finite element approximations

The correct use of the Lax–Friedrichs method

Conforming and nonconforming finite element methods for solving the stationary Stokes equations I

The mathematical theory of low Mach number flows

Quasi-convexity, strictly quasi-convexity and pseudo-convexity of composite objective functions

The $p$-version of the finite element method for elliptic equations of order $2l$

The correct use of the Lax–Friedrichs method

Conforming and nonconforming finite element methods for solving the stationary Stokes equations I

The mathematical theory of low Mach number flows

Quasi-convexity, strictly quasi-convexity and pseudo-convexity of composite objective functions

Evaluation of the condition number in linear systems arising in finite element approximations

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