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ESAIM: Mathematical Modelling and Numerical Analysis
Tome 51 (2017)
Sommaire du
Fascicule no. 1
New mapping properties of the time domain electric field integral equation
Qiu, Tianyu
;
Sayas, Francisco-Javier
p. 1-15
Finite element exterior calculus for parabolic problems
Arnold, Douglas N.
;
Chen, Hongtao
p. 17-34
A convergent explicit finite difference scheme for a mechanical model for tumor growth
Trivisa, Konstantina
;
Weber, Franziska
p. 35-62
A numerical method for Mean Field Games on networks
Cacace, Simone
;
Camilli, Fabio
;
Marchi, Claudio
p. 63-88
An analysis of galerkin proper orthogonal decomposition for subdiffusion
Jin, Bangti
;
Zhou, Zhi
p. 89-113
Formal deduction of the Saint-Venant–Exner model including arbitrarily sloping sediment beds and associated energy
Fernández-Nieto, Enrique D.
;
Luna, Tomás Morales de
;
Narbona-Reina, Gladys
;
Zabsonré, Jean de Dieu
p. 115-145
Generalized finite element methods for quadratic eigenvalue problems
Målqvist, Axel
;
Peterseim, Daniel
p. 147-163
Superconvergence by
M
-decompositions. Part II: Construction of two-dimensional finite elements
Cockburn, Bernardo
;
Fu, Guosheng
p. 165-186
A stabilized
P
1
-nonconforming immersed finite element method for the interface elasticity problems
Kwak, Do Y.
;
Jin, Sangwon
;
Kyeong, Daehyeon
p. 187-207
Optimized waveform relaxation methods for RC circuits: discrete case
Wu, Shu-Lin
;
Al-Khaleel, Mohammad D.
p. 209-223
Numerical approximation of stochastic conservation laws on bounded domains
Bauzet, Caroline
;
Charrier, Julia
;
Gallouët, Thierry
p. 225-278
Error estimates for a numerical method for the compressible Navier–Stokes system on sufficiently smooth domains
Feireisl, Eduard
;
Hošek, Radim
;
Maltese, David
;
Novotný, Antonín
p. 279-319
Sparse polynomial approximation of parametric elliptic PDEs. Part I: affine coefficients
Bachmayr, Markus
;
Cohen, Albert
;
Migliorati, Giovanni
p. 321-339
Sparse polynomial approximation of parametric elliptic PDEs. Part II: lognormal coefficients
Bachmayr, Markus
;
Cohen, Albert
;
DeVore, Ronald
;
Migliorati, Giovanni
p. 341-363
Superconvergence by M-decompositions. Part III: Construction of three-dimensional finite elements
Cockburn, Bernardo
;
Fu, Guosheng
p. 365-398
Sommaire du
Fascicule no. 2
Mixed finite element methods for linear elasticity and the Stokes equations based on the Helmholtz decomposition
Schedensack, Mira
p. 399-425
On nontraditional quasi-geostrophic equations
Lucas, Carine
;
McWilliams, James C.
;
Rousseau, Antoine
p. 427-442
Simultaneous reduced basis approximation of parameterized elliptic eigenvalue problems
Horger, Thomas
;
Wohlmuth, Barbara
;
Dickopf, Thomas
p. 443-465
Superconvergence of Discontinuous Galerkin methods based on upwind-biased fluxes for 1D linear hyperbolic equations
Cao, Waixiang
;
Li, Dongfang
;
Yang, Yang
;
Zhang, Zhimin
p. 467-486
Fractional-step methods and finite elements with symmetric stabilization for the transient Oseen problem
Burman, Erik
;
Ern, Alexandre
;
Fernández, Miguel A.
p. 487-507
Divergence free virtual elements for the stokes problem on polygonal meshes
da Veiga, Lourenco Beirão
;
Lovadina, Carlo
;
Vacca, Giuseppe
p. 509-535
A priori diffusion-uniform error estimates for nonlinear singularly perturbed problems: BDF2, midpoint and time DG
Kučera, Václav
;
Vlasák, Miloslav
p. 537-563
Analysis of a dynamic viscoelastic-viscoplastic piezoelectric contact problem
Campo, Marco
;
Fernández, Jose R.
;
Rodríguez-Arós, Ángel D.
;
Rodríguez, José M.
p. 565-586
Convergence of solutions to finite difference schemes for singular limits of nonlinear evolutionary PDEs
Even-Dar Mandel, L.
;
Schochet, S.
p. 587-614
A Convergent adaptive edge element method for an optimal control problem in magnetostatics
Xu, Yifeng
;
Zou, Jun
p. 615-640
Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques
Smetana, Kathrin
;
Ohlberger, Mario
p. 641-677
A generalized Mimetic Finite Difference method and Two-Point Flux schemes over Voronoi diagrams
Al-Hinai, Omar
;
Wheeler, Mary F.
;
Yotov, Ivan
p. 679-706
Standard finite elements for the numerical resolution of the elliptic Monge–Ampère equation: Aleksandrov solutions
Awanou, Gerard
p. 707-725
Uniform discrete Sobolev estimates of solutions to finite difference schemes for singular limits of nonlinear PDEs
Even-Dar Mandel, Liat
;
Schochet, Steven
p. 727-757
Sommaire du
Fascicule no. 3
A contact problem in thermoviscoelastic diffusion theory with second sound
Aouadi, Moncef
;
Copetti, Maria I.M.
;
Fernández, José R.
p. 759-796
A virtual volume method for heterogeneous and anisotropic diffusion-reaction problems on general meshes
Coatléven, Julien
p. 797-824
Finite element approximation of Dirichlet control using boundary penalty method for unsteady Navier–Stokes equations
Ravindran, Sivaguru S.
p. 825-849
A numerical comparison of some Multiscale Finite Element approaches for advection-dominated problems in heterogeneous media
Le Bris, Claude
;
Legoll, Frédéric
;
Madiot, François
p. 851-888
Bloch waves in crystals and periodic high contrast media
Lipton, Robert
;
Viator, Robert Jr.
p. 889-918
L
2
-stability of a finite element – finite volume discretization of convection-diffusion-reaction equations with nonhomogeneous mixed boundary conditions
Deuring, Paul
;
Eymard, Robert
p. 919-947
Reconstruction of polygonal inclusions in a heat conductive body from dynamical boundary data
Bouraoui, Manel
;
El Asmi, Lassaad
;
Khelifi, Abdessatar
p. 949-964
Low-thrust Lyapunov to Lyapunov and Halo to Halo missions with
L
2
-minimization
Chupin, Maxime
;
Haberkorn, Thomas
;
Trélat, Emmanuel
p. 965-996
Blended numerical schemes for the advection equation and conservation laws
Cacace, Simone
;
Cristiani, Emiliano
;
Ferretti, Roberto
p. 997-1019
Domain decomposition preconditioners for the discontinuous Petrov–Galerkin method
Li, Xiang
;
Xu, Xuejun
p. 1021-1044
Existence and uniqueness of a solution for a field/circuit coupled problem
Slodička, Marian
;
Vrábel’, Vladimír
p. 1045-1061
Stability analysis and error estimates of Lax–Wendroff discontinuous Galerkin methods for linear conservation laws
Sun, Zheng
;
Shu, Chi-Wang
p. 1063-1087
Numerical approximation of a non-smooth phase-field model for multicomponent incompressible flow
Baňas, L’ubomír
;
Nürnberg, Robert
p. 1089-1117
Numerical approximation of viscoelastic fluids
Perrotti, Louis
;
Walkington, Noel J.
;
Wang, Daren
p. 1119-1144
Sommaire du
Fascicule no. 4
A generalized finite element method for linear thermoelasticity
Målqvist, Axel
;
Persson, Anna
p. 1145-1171
Preconditioners for the Discontinuous Galerkin time-stepping method of arbitrary order
Basting, Steffen
;
Bänsch, Eberhard
p. 1173-1195
Isogeometric analysis and proper orthogonal decomposition for the acoustic wave equation
Zhu, Shengfeng
;
Dedè, Luca
;
Quarteroni, Alfio
p. 1197-1221
A finite volume method for nonlocal competition-mutation equations with a gradient flow structure
Cai, Wenli
;
Liu, Hailiang
p. 1223-1243
Convergence of a Strang splitting finite element discretization for the Schrödinger–Poisson equation
Auzinger, Winfried
;
Kassebacher, Thomas
;
Koch, Othmar
;
Thalhammer, Mechthild
p. 1245-1278
New transmission condition accounting for diffusion anisotropy in thin layers applied to diffusion MRI
Caubet, Fabien
;
Haddar, Houssem
;
li, Jing-Rebecca
;
Van Nguyen, Dang
p. 1279-1301
A hybrid two-step finite element method for flux approximation: a priori estimates
Ku, JaEun
;
Lee, Young Ju
;
Sheen, Dongwoo
p. 1303-1316
On the Steklov problem in a domain perforated along a part of the boundary
Chechkin, Gregory A.
;
Gadyl’shin, Rustem R.
;
D’Apice, Ciro
;
De Maio, Umberto
p. 1317-1342
On the mach-uniformity of the Lagrange-projection scheme
Zakerzadeh, Hamed
p. 1343-1366
Finite element quasi-interpolation and best approximation
Ern, Alexandre
;
Guermond, Jean-Luc
p. 1367-1385
Numerical simulation of wave propagation in inhomogeneous media using Generalized Plane Waves
Imbert-Gérard, Lise-Marie
;
Monk, Peter
p. 1387-1406
Numerical analysis of a stabilized finite element approximation for the three-field linearized viscoelastic fluid problem using arbitrary interpolations
Castillo, Ernesto
;
Codina, Ramon
p. 1407-1427
Dimensional model reduction for flow through fractures in poroelastic media
Bukač, Martina
;
Yotov, Ivan
;
Zunino, Paolo
p. 1429-1471
A piecewise linear FEM for an optimal control problem of fractional operators: error analysis on curved domains
Otárola, Enrique
p. 1473-1500
Analysis and approximations of the evolutionary Stokes equations with inhomogeneous boundary and divergence data using a parabolic saddle point formulation
Chrysafinos, Konstantinos
;
Hou, L. Steven
p. 1501-1526
A novel nonlocal potential solver based on nonuniform FFT for efficient simulation of the Davey−Stewartson equations
Mauser, Norbert J.
;
Stimming, Hans Peter
;
Zhang, Yong
p. 1527-1538
A second order time-stepping scheme for parabolic interface problems with moving interfaces
Frei, Stefan
;
Richter, Thomas
p. 1539-1560
Sommaire du
Fascicule no. 5
An edge-based scheme on polyhedral meshes for vector advection-reaction equations
Cantin, Pierre
;
Ern, Alexandre
p. 1561-1581
A convergent method for linear half-space kinetic equations
Li, Qin
;
Lu, Jianfeng
;
Sun, Weiran
p. 1583-1615
Discretization error cancellation in electronic structure calculation: toward a quantitative study
Cancès, Eric
;
Dusson, Geneviève
p. 1617-1636
Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part I: A nonlinear scheme
Lukáčová–Medvid’ová, Mária
;
Mizerová, Hana
;
Notsu, Hirofumi
;
Tabata, Masahisa
p. 1637-1661
Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part II: A linear scheme
Lukáčová–Medvid’ová, Mária
;
Mizerová, Hana
;
Notsu, Hirofumi
;
Tabata, Masahisa
p. 1663-1689
A DDFV method for a Cahn−Hilliard/Stokes phase field model with dynamic boundary conditions
Boyer, Franck
;
Nabet, Flore
p. 1691-1731
A posteriori error estimates for discontinuous Galerkin methods using non-polynomial basis functions. Part II: Eigenvalue problems
Lin, Lin
;
Stamm, Benjamin
p. 1733-1753
Spacetime discontinuous Galerkin methods for solving convection-diffusion systems
May, Sandra
p. 1755-1781
A penalty method for a linear Koiter shell model
Merabet, Ismail
;
Nicaise, Serge
p. 1783-1803
Asymptotic-preserving well-balanced scheme for the electronic
M
1
model in the diffusive limit: Particular cases
Guisset, Sébastien
;
Brull, Stéphane
;
D’Humières, Emmanuel
;
Dubroca, Bruno
p. 1805-1826
An Adaptive Parametrized-Background Data-Weak approach to variational data assimilation
Taddei, Tommaso
p. 1827-1858
Convergence of multi-revolution composition time-splitting methods for highly oscillatory differential equations of Schrödinger type
Chartier, Philippe
;
Méhats, Florian
;
Thalhammer, Mechthild
;
Zhang, Yong
p. 1859-1882
Convergence analysis of a BDF2 / mixed finite element discretization of a Darcy–Nernst–Planck–Poisson system
Frank, Florian
;
Knabner, Peter
p. 1883-1902
Analytical treatment for the asymptotic analysis of microscopic impenetrability constraints for atomistic systems
Braides, Andrea
;
Gelli, Maria Stella
p. 1903-1929
Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for the time-dependent fourth order PDEs
Wang, Haijin
;
Zhang, Qiang
;
Shu, Chi-Wang
p. 1931-1955
Coriolis effect on water waves
Melinand, Benjamin
p. 1957-1985
A finite volume method for undercompressive shock waves in two space dimensions
Chalons, Christophe
;
Rohde, Christian
;
Wiebe, Maria
p. 1987-2015
An adaptive finite element PML method for the elastic wave scattering problem in periodic structures
Jiang, Xue
;
Li, Peijun
;
Lv, Junliang
;
Zheng, Weiying
p. 2017-2047
Sommaire du
Fascicule no. 6
A note on semilinear fractional elliptic equation: analysis and discretization
Antil, Harbir
;
Pfefferer, Johannes
;
Warma, Mahamadi
p. 2049-2067
Higher order topological derivatives for three-dimensional anisotropic elasticity
Bonnet, Marc
;
Cornaggia, Rémi
p. 2069-2092
Semi-discrete error estimates and implementation of a mixed method for the Stefan problem
Davis, Ch. B.
;
Walker, Sh. W.
p. 2093-2126
Some a posteriori error bounds for reduced-order modelling of (non-)parametrized linear systems
Feng, Lihong
;
Antoulas, Athanasios C.
;
Benner, Peter
p. 2127-2158
A posteriori error analysis for the optimal control of magneto-static fields
Pauly, Dirk
;
Yousept, Irwin
p. 2159-2191
Geometric constraints in descent methods for shape optimisation
Kraft, Daniel
p. 2193-2212
Superconvergence of discontinuous Galerkin methods for 1-D linear hyperbolic equations with degenerate variable coefficients
Cao, Waixiang
;
Shu, Chi-Wang
;
Zhang, Zhimin
p. 2213-2235
Adaptive approximation of the Monge–Kantorovich problem via primal-dual gap estimates
Bartels, Sören
;
Schön, Patrick
p. 2237-2261
Analysis of patch-test consistent atomistic-to-continuum coupling with higher-order finite elements
Dedner, Andreas
;
Ortner, Chistoph
;
Wu, Huan
p. 2263-2288
Cellulose biodegradation models; an example of cooperative interactions in structured populations
Jabin, Pierre-Emmanuel
;
Miroshnikov, Alexey
;
Young, Robin
p. 2289-2318
Finite element approximation for the dynamics of fluidic two-phase biomembranes
Barrett, John W.
;
Garcke, Harald
;
Nürnberg, Robert
p. 2319-2366
A semi-discrete large-time behavior preserving scheme for the augmented Burgers equation
Ignat, Liviu I.
;
Pozo, Alejandro
p. 2367-2398
Stable perfectly matched layers for a class of anisotropic dispersive models. Part I: necessary and sufficient conditions of stability
Bécache, Eliane
;
Kachanovska, Maryna
p. 2399-2434
Error analysis of truncated expansion solutions to high-dimensional parabolic PDEs
Reisinger, Christoph
;
Wissmann, Rasmus
p. 2435-2463
FEM for quasilinear obstacle problems in bad domains
Capitanelli, Raffaela
;
Vivaldi, Maria Agostina
p. 2465-2485
Analysis of an ungauged T,
φ
–
φ
formulation of the eddy current problem with currents and voltage excitations
Bermúdez, Alfredo
;
Piñeiro, Marta
;
Rodríguez, Rodolfo
;
Salgado, Pilar
p. 2487-2509
Inhomogeneous steady-state problem of complex heat transfer
Chebotarev, Alexander Yu.
;
Grenkin, Gleb V.
;
Kovtanyuk, Andrey E.
p. 2511-2519