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

Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part I: A nonlinear scheme

Mária Lukáčová–Medvid’ová, Hana Mizerová, Hirofumi Notsu and Masahisa Tabata

ESAIM: M2AN, 51 5 (2017) 1637-1661

Published online: 20 October 2017

DOI: https://doi.org/10.1051/m2an/2016078
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Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part II: A linear scheme

Mária Lukáčová–Medvid’ová, Hana Mizerová, Hirofumi Notsu and Masahisa Tabata

ESAIM: M2AN, 51 5 (2017) 1663-1689

Published online: 20 October 2017

DOI: https://doi.org/10.1051/m2an/2017032
- PDF (485.7 KB)
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A DDFV method for a Cahn−Hilliard/Stokes phase field model with dynamic boundary conditions

Franck Boyer and Flore Nabet

ESAIM: M2AN, 51 5 (2017) 1691-1731

Published online: 20 October 2017

DOI: https://doi.org/10.1051/m2an/2016073
- PDF (2.197 MB)
- References
An edge-based scheme on polyhedral meshes for vector advection-reaction equations

Pierre Cantin and Alexandre Ern

ESAIM: M2AN, 51 5 (2017) 1561-1581

Published online: 27 September 2017

DOI: https://doi.org/10.1051/m2an/2016075
- PDF (784.7 KB)
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A convergent method for linear half-space kinetic equations

Qin Li, Jianfeng Lu and Weiran Sun

ESAIM: M2AN, 51 5 (2017) 1583-1615

Published online: 27 September 2017

DOI: https://doi.org/10.1051/m2an/2016076
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Discretization error cancellation in electronic structure calculation: toward a quantitative study

Eric Cancès and Geneviève Dusson

ESAIM: M2AN, 51 5 (2017) 1617-1636

Published online: 27 September 2017

DOI: https://doi.org/10.1051/m2an/2017035
- PDF (979.1 KB)
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A second order time-stepping scheme for parabolic interface problems with moving interfaces

Stefan Frei and Thomas Richter

ESAIM: M2AN, 51 4 (2017) 1539-1560

Published online: 04 September 2017

DOI: https://doi.org/10.1051/m2an/2016072
- PDF (648.7 KB)
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Analysis and approximations of the evolutionary Stokes equations with inhomogeneous boundary and divergence data using a parabolic saddle point formulation

Konstantinos Chrysafinos and L. Steven Hou

ESAIM: M2AN, 51 4 (2017) 1501-1526

Published online: 10 August 2017

DOI: https://doi.org/10.1051/m2an/2016070
- PDF (392.5 KB)
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A novel nonlocal potential solver based on nonuniform FFT for efficient simulation of the Davey−Stewartson equations

Norbert J. Mauser, Hans Peter Stimming and Yong Zhang

ESAIM: M2AN, 51 4 (2017) 1527-1538

Published online: 10 August 2017

DOI: https://doi.org/10.1051/m2an/2016071
- PDF (227.2 KB)
- References

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

Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part I: A nonlinear scheme

Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part II: A linear scheme

A DDFV method for a Cahn−Hilliard/Stokes phase field model with dynamic boundary conditions

An edge-based scheme on polyhedral meshes for vector advection-reaction equations

A convergent method for linear half-space kinetic equations

Discretization error cancellation in electronic structure calculation: toward a quantitative study

A second order time-stepping scheme for parabolic interface problems with moving interfaces

Analysis and approximations of the evolutionary Stokes equations with inhomogeneous boundary and divergence data using a parabolic saddle point formulation

A novel nonlocal potential solver based on nonuniform FFT for efficient simulation of the Davey−Stewartson equations

The correct use of the Lax–Friedrichs method

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

High order edge elements on simplicial meshes

Hermite pseudospectral method for nonlinear partial differential equations

The mathematical theory of low Mach number flows

The correct use of the Lax–Friedrichs method

The mathematical theory of low Mach number flows

Calculation of low Mach number acoustics: a comparison of MPV, EIF and linearized Euler equations

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

High order edge elements on simplicial meshes

The correct use of the Lax–Friedrichs method

The mathematical theory of low Mach number flows

Calculation of low Mach number acoustics: a comparison of MPV, EIF and linearized Euler 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

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