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ESAIM: Mathematical Modelling and Numerical Analysis
Volume 50 (2016)
Issue no. 1
Table of Contents
Analysis of an optimization-based atomistic-to-continuum coupling method for point defects
Olson, Derek
;
Shapeev, Alexander V.
;
Bochev, Pavel B.
;
Luskin, Mitchell
p. 1-41
Effective transmission conditions for thin-layer transmission problems in elastodynamics. The case of a planar layer model
Bonnet, Marc
;
Burel, Aliénor
;
Duruflé, Marc
;
Joly, Patrick
p. 43-75
A relation between a dynamic fracture model and quasi-static evolution
Versieux, Henrique
p. 77-91
Time domain simulation of a piano. Part 2: numerical aspects
Chabassier, Juliette
;
Duruflé, Marc
;
Joly, Patrick
p. 93-133
Entropy-dissipative discretization of nonlinear diffusion equations and discrete Beckner inequalities
Chainais-Hillairet, Claire
;
Jüngel, Ansgar
;
Schuchnigg, Stefan
p. 135-162
A minimum-residual mixed reduced basis method: Exact residual certification and simultaneous finite-element reduced-basis refinement
Yano, Masayuki
p. 163-185
A conservative slide line method for cell-centered semi-Lagrangian and ALE schemes in 2D
Bertoluzza, Silvia
;
Pino, Stéphane Del
;
Labourasse, Emmanuel
p. 187-214
A
Γ
-Convergence Result for the Upper Bound Limit Analysis of Plates
Bleyer, Jérémy
;
Carlier, Guillaume
;
Duval, Vincent
;
Mirebeau, Jean-Marie
;
Peyré, Gabriel
p. 215-235
Optimal control of the full time-dependent maxwell equations
Bommer, Vera
;
Yousept, Irwin
p. 237-261
Discretization by rational and quasi-rational functions of multi-dimensional elliptic problems in the whole space
Boulmezaoud, T.Z.
;
Arar, N.
;
Kerdid, N.
;
Kourta, A.
p. 263-288
Robust Arbitrary Order Mixed Finite Element Methods for the Incompressible Stokes Equations with pressure independent velocity errors
Linke, Alexander
;
Matthies, Gunar
;
Tobiska, Lutz
p. 289-309
Issue no. 2
Table of Contents
A hybrid-mixed method for elasticity
Harder, Christopher
;
Madureira, Alexandre L.
;
Valentin, Frédéric
p. 311-336
A discontinuous Galerkin reduced basis element method for elliptic problems
Antonietti, Paola F.
;
Pacciarini, Paolo
;
Quarteroni, Alfio
p. 337-360
Error estimates of a stabilized Lagrange−Galerkin scheme for the Navier−Stokes equations
Notsu, Hirofumi
;
Tabata, Masahisa
p. 361-380
Time optimal control for a reaction diffusion system arising in cardiac electrophysiology – a monolithic approach
Kunisch, Karl
;
Pieper, Konstantin
;
Rund, Armin
p. 381-414
Electrode modelling: The effect of contact impedance
Dardé, Jérémi
;
Staboulis, Stratos
p. 415-431
A Nonconforming Finite Element Approximation for the von Karman equations
Mallik, Gouranga
;
Nataraj, Neela
p. 433-454
Existence of solutions to an elasto-viscoplastic model with kinematic hardening and
r
-Laplacian fracture approximation
Jakabčin, Lukáš
p. 455-473
Convergence of a numerical scheme for a mixed hyperbolic-parabolic system in two space dimensions
Rossi, Elena
;
Schleper, Veronika
p. 475-497
On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions
Karlsen, Kenneth Hvistendahl
;
Risebro, Nils Henrik
;
Storrøsten, Erlend Briseid
p. 499-539
Nitsche’s method for parabolic partial differential equations with mixed time varying boundary conditions
Tagliabue, Anna
;
Dedè, Luca
;
Quarteroni, Alfio
p. 541-563
Analysis of the penalized 3D variable viscosity stokes equations coupled to diffusion and transport
Chatelin, Robin
;
Sanchez, David
;
Poncet, Philippe
p. 565-591
Homogenization of a system of elastic and reaction-diffusion equations modelling plant cell wall biomechanics
Ptashnyk, Mariya
;
Seguin, Brian
p. 593-631
Issue no. 3
Table of Contents
Special Issue – Polyhedral discretization for PDE
Preface
Beirão da Veiga, L.
;
Ern, A.
p. 633-634
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods
Cockburn, Bernardo
;
Di Pietro, Daniele A.
;
Ern, Alexandre
p. 635-650
Interpolation error estimates for harmonic coordinates on polytopes
Gillette, Andrew
;
Rand, Alexander
p. 651-676
Geometrically defined basis functions for polyhedral elements with applications to computational electromagnetics
Codecasa, Lorenzo
;
Specogna, Ruben
;
Trevisan, Francesco
p. 677-698
h
p
-Version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes
Cangiani, Andrea
;
Dong, Zhaonan
;
Georgoulis, Emmanuil H.
;
Houston, Paul
p. 699-725
Mixed virtual element methods for general second order elliptic problems on polygonal meshes
Beirão da Veiga, Lourenço
;
Brezzi, Franco
;
Marini, Luisa Donatella
;
Russo, Alessandro
p. 727-747
Gradient schemes: Generic tools for the numerical analysis of diffusion equations
Droniou, Jérome
;
Eymard, Robert
;
Herbin, Raphaèle
p. 749-781
A plane wave virtual element method for the Helmholtz problem
Perugia, Ilaria
;
Pietra, Paola
;
Russo, Alessandro
p. 783-808
Mimetic finite difference approximation of flows in fractured porous media
Antonietti, Paola F.
;
Formaggia, Luca
;
Scotti, Anna
;
Verani, Marco
;
Verzott, Nicola
p. 809-832
Constructions of some minimal finite element systems
Christiansen, Snorre H.
;
Gillette, Andrew
p. 833-850
The arbitrary order mixed mimetic finite difference method for the diffusion equation
Gyrya, Vitaliy
;
Lipnikov, Konstantin
;
Manzini, Gianmarco
p. 851-877
The nonconforming virtual element method
Ayuso de Dios, Blanca
;
Lipnikov, Konstantin
;
Manzini, Gianmarco
p. 879-904
The electromagnetic scattering problem with generalized impedance boundary conditions
Chaulet, Nicolas
p. 905-920
A robust domain decomposition method for the Helmholtz equation with high wave number
Chen, Wenbin
;
Liu, Yongxiang
;
Xu, Xuejun
p. 921-944
Issue no. 4
Table of Contents
The Interaction Picture method for solving the generalized nonlinear Schrödinger equation in optics
Balac, Stéphane
;
Fernandez, Arnaud
;
Mahé, Fabrice
;
Méhats, Florian
;
Texier-Picard, Rozenn
p. 945-964
Stability analysis and error estimates of an exactly divergence-free method for the magnetic induction equations
Yang, He
;
Li, Fengyan
p. 965-993
Domain decomposition method for crack problems with nonpenetration condition
Rudoy, Evgeny
p. 995-1009
An explicit finite-difference scheme for one-dimensional Generalized Porous Medium Equations: Interface tracking and the hole filling problem
Monsaingeon, Léonard
p. 1011-1033
A posteriori analysis of iterative algorithms for Navier–Stokes problem
Bernardi, Christine
;
Dakroub, Jad
;
Mansour, Gihane
;
Sayah, Toni
p. 1035-1055
Substructuring preconditioners for
h
-
p
Mortar FEM
Bertoluzza, Silvia
;
Pennacchio, Micol
;
Prud’homme, Christophe
;
Samake, Abdoulaye
p. 1057-1082
Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems
Wang, Haijin
;
Wang, Shiping
;
Zhang, Qiang
;
Shu, Chi-Wang
p. 1083-1105
Adaptive low-rank methods for problems on Sobolev spaces with error control in
L
2
Bachmayr, M.
;
Dahmen, W.
p. 1107-1136
Error estimates of the integral deferred correction method for stiff problems
Boscarino, Sebastiano
;
Qiu, Jing-Mei
p. 1137-1166
A two-fluid four-equation model with instantaneous thermodynamical equilibrium
Morin, Alexandre
;
Flåtten, Tore
p. 1167-1192
A posteriori error estimates for discontinuous Galerkin methods using non-polynomial basis functions Part I: Second order linear PDE
Lin, Lin
;
Stamm, Benjamin
p. 1193-1222
Reconstruction of independent sub-domains for a class of Hamilton–Jacobi equations and application to parallel computing
Festa, Adriano
p. 1223-1240
Distributed shape derivative via averaged adjoint method and applications
Laurain, Antoine
;
Sturm, Kevin
p. 1241-1267
Issue no. 5
Table of Contents
Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks
Andreianov, Boris
;
Donadello, Carlotta
;
Razafison, Ulrich
;
Rosini, Massimiliano D.
p. 1269-1287
Convergence of fully discrete schemes for diffusive dispersive conservation laws with discontinuous coefficient
Dutta, Rajib
;
Koley, Ujjwal
;
Ray, Deep
p. 1289-1331
Adaptive finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology
Kreuzer, Christian
;
Süli, Endre
p. 1333-1369
Numerical aspects of large-time optimal control of Burgers equation
Allahverdi, Navid
;
Pozo, Alejandro
;
Zuazua, Enrique
p. 1371-1401
Convergence rates of supercell calculations in the reduced Hartree−Fock model
Gontier, David
;
Lahbabi, Salma
p. 1403-1424
Multiscale analysis of linear evolution equations with applications to nonlocal models for heterogeneous media
Du, Qiang
;
Lipton, Robert
;
Mengesha, Tadele
p. 1425-1455
An Interior Penalty Method with
C
0
Finite Elements for the Approximation of the Maxwell Equations in Heterogeneous Media: Convergence Analysis with Minimal Regularity
Bonito, Andrea
;
Guermond, Jean-Luc
;
Luddens, Francky
p. 1457-1489
Coupling of a two phase gas liquid compositional 3D Darcy flow with a 1D compositional free gas flow
Brenner, K.
;
Masson, R.
;
Trenty, L.
;
Zhang, Y.
p. 1491-1522
Energy stable and convergent finite element schemes for the modified phase field crystal equation
Grasselli, Maurizio
;
Pierre, Morgan
p. 1523-1560
Higher-order finite element methods for elliptic problems with interfaces
Guzmán, Johnny
;
Sánchez, Manuel A.
;
Sarkis, Marcus
p. 1561-1583
Issue no. 6
Table of Contents
Energy conservative finite element semi-discretization for vibro-impacts of plates on rigid obstacles
Pozzolini, Cédric
;
Renard, Yves
;
Salaün, Michel
p. 1585-1613
Numerical analysis of Darcy problem on surfaces
Ferroni, Alberto
;
Formaggia, Luca
;
Fumagalli, Alessio
p. 1615-1630
Comparison of two-fluid models on steam-water transients
Lochon, Hippolyte
;
Daude, Frédéric
;
Galon, Pascal
;
Hérard, Jean-Marc
p. 1631-1657
Finite element heterogeneous multiscale method for nonlinear monotone parabolic homogenization problems
Abdulle, Assyr
;
Huber, Martin E.
p. 1659-1697
Semi-Lagrangian discontinuous Galerkin schemes for some first- and second-order partial differential equations
Bokanowski, Olivier
;
Simarmata, Giorevinus
p. 1699-1730
Detectability and state estimation for linear age-structured population diffusion models
Ramdani, Karim
;
Tucsnak, Marius
;
Valein, Julie
p. 1731-1761
Maxwell’s equations for conductors with impedance boundary conditions: Discontinuous Galerkin and Reduced Basis Methods
Kirchner, Kristin
;
Urban, Karsten
;
Zeeb, Oliver
p. 1763-1787
A posteriori error analysis for a viscous flow-transport problem
Alvarez, Mario
;
Gatica, Gabriel N.
;
Ruiz-Baier, Ricardo
p. 1789-1816
Existence and uniqueness of global solutions for the modified anisotropic 3D Navier−Stokes equations
Bessaih, Hakima
;
Trabelsi, Saber
;
Zorgati, Hamdi
p. 1817-1823
Scaling limits in computational Bayesian inversion
Schillings, Claudia
;
Schwab, Christoph
p. 1825-1856
Reduced basis approximation and a posteriori error estimates for parametrized elliptic eigenvalue problems
Fumagalli, Ivan
;
Manzoni, Andrea
;
Parolini, Nicola
;
Verani, Marco
p. 1857-1885
Nondiffusive conservative schemes based on approximate Riemann solvers for Lagrangian gas dynamics
Aguillon, Nina
;
Chalons, Christophe
p. 1887-1916
A convex analysis approach to multi-material topology optimization
Clason, Christian
;
Kunisch, Karl
p. 1917-1936