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ESAIM: Mathematical Modelling and Numerical Analysis
Volume 49 (2015)
Issue no. 1
Table of Contents
Diffusion limit of Fokker−Planck equation with heavy tail equilibria
Nasreddine, Elissar
;
Puel, Marjolaine
p. 1-17
On the Numerical Integration of Scalar Nonlocal Conservation Laws
Amorim, Paulo
;
Colombo, Rinaldo M.
;
Teixeira, Andreia
p. 19-37
Development and stability analysis of the inverse Lax−Wendroff boundary treatment for central compact schemes
Vilar, François
;
Shu, Chi-Wang
p. 39-67
Error estimates of Runge–Kutta discontinuous galerkin methods for the Vlasov–Maxwell system
Yang, He
;
Li, Fengyan
p. 69-99
A two-phase shallow debris flow model with energy balance
Bouchut, F.
;
Fernández-Nieto, E.D.
;
Mangeney, A.
;
Narbona-Reina, G.
p. 101-140
Analysis of eddy current formulations in two-dimensional domains with cracks
Lohrengel, Stephanie
;
Nicaise, Serge
p. 141-170
Numerical analysis for a three interacting species model with nonlocal and cross diffusion
Anaya, Verónica
;
Bendahmane, Mostafa
;
Sepúlveda, Mauricio
p. 171-192
The cell functional minimization scheme for the anisotropic diffusion problems on arbitrary polygonal grids
Yin, Li
;
Wu, Jiming
;
Gao, Zhiming
p. 193-220
Comments on iterative schemes for high order compact discretizations to the exterior Helmholtz equation
Turkel, Eli
p. 221-223
An analysis of HDG methods for convection-dominated diffusion problems
Fu, Guosheng
;
Qiu, Weifeng
;
Zhang, Wujun
p. 225-256
An analysis of Feng’s and other symmetric local absorbing boundary conditions
Schmidt, Kersten
;
Heier, Christian
p. 257-273
Energy consistent discontinuous Galerkin methods for a quasi-incompressible diffuse two phase flow model
Giesselmann, Jan
;
Pryer, Tristan
p. 275-301
Issue no. 2
Table of Contents
Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media
Brenner, K.
;
Groza, M.
;
Guichard, C.
;
Masson, R.
p. 303-330
Efficient preconditioning of variational time discretization methods for parabolic Partial Differential Equations
Weller, Stephan
;
Basting, Steffen
p. 331-347
Convergence of the cell average technique for Smoluchowski coagulation equation
Giri, Ankik Kumar
;
Nagar, Atulya K.
p. 349-372
Discretized fractional substantial calculus
Chen, Minghua
;
Deng, Weihua
p. 373-394
Parallelizing the Kolmogorov Fokker Planck Equation
Gerardo-Giorda, Luca
;
Tran, Minh-Binh
p. 395-420
On the stable numerical approximation of two-phase flow with insoluble surfactant
Barrett, John W.
;
Garcke, Harald
;
Nürnberg, Robert
p. 421-458
Regularized recursive Newton-type methods for inverse scattering problems using multifrequency measurements
Sini, Mourad
;
Thành, Nguyen Trung
p. 459-480
A Nitsche finite element method for dynamic contact: 1. Space semi-discretization and time-marching schemes
Chouly, Franz
;
Hild, Patrick
;
Renard, Yves
p. 481-502
A Nitsche finite element method for dynamic contact: 2. Stability of the schemes and numerical experiments
Chouly, Franz
;
Hild, Patrick
;
Renard, Yves
p. 503-528
Error estimate for a finite volume scheme in a geometrical multi-scale domain
Viallon, Marie-Claude
p. 529-550
Fast and accurate finite element approximation of wave maps into spheres
Bartels, Sören
p. 551-558
Supercloseness of orthogonal projections onto nearby finite element spaces
Gawlik, Evan S.
;
Lew, Adrian J.
p. 559-576
Residual a posteriori error estimation for the Virtual Element Method for elliptic problems
Beirão da Veiga, L.
;
Manzini, G.
p. 577-599
The dispersive wave dynamics of a two-phase flow relaxation model
Solem, Susanne
;
Aursand, Peder
;
Flåtten, Tore
p. 601-619
Issue no. 3
Table of Contents
Spectral discretization of the Navier–Stokes equations coupled with the heat equation
Agroum, Rahma
;
Aouadi, Saloua Mani
;
Bernardi, Christine
;
Satouri, Jamil
p. 621-639
The reduced order NS-
α
model for incompressible flow: theory, numerical analysis and benchmark testing
Cuff, Victoria M.
;
Dunca, Argus A.
;
Manica, Carolina C.
;
Rebholz, Leo G.
p. 641-662
An a posteriori error estimation for the discrete duality finite volume discretization of the Stokes equations
Le, Anh Ha
;
Omnes, Pascal
p. 663-693
High order numerical methods for highly oscillatory problems
Cohen, David
;
Schweitzer, Julia
p. 695-711
Continuous analysis of the additive Schwarz method: A stable decomposition in
H
1
with explicit constants
Gander, Martin J.
;
Halpern, Laurence
;
Santugini, Kévin
p. 713-740
Localized and complete resonance in plasmonic structures
Nguyen, Hoai-Minh
;
Nguyen, Loc Hoang
p. 741-754
Numerical analysis of augmented plane wave methods for full-potential electronic structure calculations
Chen, Huajie
;
Schneider, Reinhold
p. 755-785
Reduced basis techniques for nonlinear conservation laws
Taddei, T.
;
Perotto, S.
;
Quarteroni, A.
p. 787-814
Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs
Chkifa, Abdellah
;
Cohen, Albert
;
Migliorati, Giovanni
;
Nobile, Fabio
;
Tempone, Raul
p. 815-837
An effective preconditioner for a PML system for electromagnetic scattering problem
Hu, Qiya
;
Liu, Chunmei
;
Shu, Shi
;
Zou, Jun
p. 839-854
Stabilized mixed approximation of axisymmetric Brinkman flows
Anaya, Verónica
;
Mora, David
;
Reales, Carlos
;
Ruiz-Baier, Ricardo
p. 855-874
Small-time solvability of primitive equations for the ocean with spatially-varying vertical mixing
Honda, Hirotada
p. 875-919
Issue no. 4
Table of Contents
Shape Optimization for Stokes flows: a finite element convergence analysis
Fumagalli, Ivan
;
Parolini, Nicola
;
Verani, Marco
p. 921-951
Convergence of a high order method in time and space for the miscible displacement equations
Li, Jizhou
;
Riviere, Beatrice
;
Walkington, Noel
p. 953-976
Comparison Results of Nonstandard
P
2
Finite Element Methods for the Biharmonic Problem
Carstensen, Carsten
;
Gallistl, Dietmar
;
Nataraj, Neela
p. 977-990
A priori error estimates to smooth solutions of the third order Runge–Kutta discontinuous Galerkin method for symmetrizable systems of conservation laws
Luo, Juan
;
Shu, Chi-Wang
;
Zhang, Qiang
p. 991-1018
Numerical Solution of the Viscous Surface Wave with Discontinuous Galerkin Method
Wu, Lei
;
Shu, Chi-Wang
p. 1019-1046
Uncertainty quantification in the numerical solution of coupled systems by involutive completion
Mohammadi, Bijan
;
Tuomela, Jukka
p. 1047-1062
Semi hybrid method for heterogeneous and anisotropic diffusion problems on general meshes
Coatléven, Julien
p. 1063-1084
Analysis of a high-order space and time discontinuous Galerkin method for elastodynamic equations. Application to 3D wave propagation
Delcourte, Sarah
;
Glinsky, Nathalie
p. 1085-1126
Galerkin methods for a Schrödinger-type equation with a dynamical boundary condition in two dimensions
Antonopoulou, D. C.
p. 1127-1156
Well posedness and finite element approximability of two-dimensional time-harmonic electromagnetic problems involving non-conducting moving objects with stationary boundaries
Brignone, Massimo
;
Raffetto, Mirco
p. 1157-1192
Adaptive Crouzeix–Raviart boundary element method
Heuer, Norbert
;
Karkulik, Michael
p. 1193-1217
A reduced discrete inf-sup condition in
L
p
for incompressible flows and application
Rebollo, Tomás Chacón
;
Girault, Vivette
;
Mármol, Macarena Gómez
;
Muñoz, Isabel Sánchez
p. 1219-1238
Issue no. 5
Table of Contents
Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition
Back, Aurore
;
Hattori, Takashi
;
Labrunie, Simon
;
Roche, Jean-Rodolphe
;
Bertrand, Pierre
p. 1239-1260
A Finite Element Method with Singularity Reconstruction for Fractional Boundary Value Problems
Jin, Bangti
;
Zhou, Zhi
p. 1261-1283
Computing quantities of interest for random domains with second order shape sensitivity analysis
Dambrine, Marc
;
Harbrecht, Helmut
;
Puig, Bénédicte
p. 1285-1302
A trace finite element method for a class of coupled bulk-interface transport problems
Gross, Sven
;
Olshanskii, Maxim A.
;
Reusken, Arnold
p. 1303-1330
Energy conservation and numerical stability for the reduced MHD models of the non-linear JOREK code
Franck, Emmanuel
;
Hölzl, Matthias
;
Lessig, Alexander
;
Sonnendrücker, Eric
p. 1331-1365
A convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes
Eigel, Martin
;
Gittelson, Claude Jeffrey
;
Schwab, Christoph
;
Zander, Elmar
p. 1367-1398
An augmented mixed-primal finite element method for a coupled flow-transport problem
Alvarez, Mario
;
Gatica, Gabriel N.
;
Ruiz–Baier, Ricardo
p. 1399-1427
Higher order continuous Galerkin−Petrov time stepping schemes for transient convection-diffusion-reaction equations
Ahmed, Naveed
;
Matthies, Gunar
p. 1429-1450
Maximum Norm Regularity of Periodic Elliptic Difference Operators With Variable Coefficients
Pruitt, Michael
p. 1451-1461
A
B
V
functional and its relaxation for joint motion estimation and image sequence recovery
Conti, Sergio
;
Ginster, Janusz
;
Rumpf, Martin
p. 1463-1487
Finite element decomposition and minimal extension for flow equations
Altmann, R.
;
Heiland, J.
p. 1489-1509
Discretization of the 3d monge−ampere operator, between wide stencils and power diagrams
Mirebeau, Jean-Marie
p. 1511-1523
Layer structure and the galerkin finite element method for a system of weakly coupled singularly perturbed convection-diffusion equations with multiple scales
Roos, Hans-Görg
;
Schopf, Martin
p. 1525-1547
Issue no. 6
Table of Contents
Optimal Transport
Preface
Maury, Bertrand
;
Santambrogio, Filippo
p. 1549-1550
Foreword
Villani, Cédric
p. 1551
A hybrid variational principle for the Keller–Segel system in
ℝ
2
Blanchet, Adrien
;
Carrillo, José Antonio
;
Kinderlehrer, David
;
Kowalczyk, Michał
;
Laurençot, Philippe
;
Lisini, Stefano
p. 1553-1576
Numerical solution of the Monge–Kantorovich problem by density lift-up continuation
Bouharguane, Afaf
;
Iollo, Angelo
;
Weynans, Lisl
p. 1577-1592
Connections between optimal transport, combinatorial optimization and hydrodynamics
Brenier, Yann
p. 1593-1605
Optimal regions for congested transport
Buttazzo, Giuseppe
;
Carlier, Guillaume
;
Lo Bianco, Serena Guarino
p. 1607-1619
Numerical methods for matching for teams and Wasserstein barycenters
Carlier, Guillaume
;
Oberman, Adam
;
Oudet, Edouard
p. 1621-1642
Optimal transport with Coulomb cost. Approximation and duality
De Pascale, Luigi
p. 1643-1657
Optimal pits and optimal transportation
Ekeland, Ivar
;
Queyranne, Maurice
p. 1659-1670
Multi-physics optimal transportation and image interpolation
Hug, Romain
;
Maitre, Emmanuel
;
Papadakis, Nicolas
p. 1671-1692
A Numerical Algorithm for
L
2
Semi-Discrete Optimal Transport in 3D
Lévy, Bruno
p. 1693-1715
Eulerian models and algorithms for unbalanced optimal transport
Lombardi, Damiano
;
Maitre, Emmanuel
p. 1717-1744
A generalized model for optimal transport of images including dissipation and density modulation
Maas, Jan
;
Rumpf, Martin
;
Schönlieb, Carola
;
Simon, Stefan
p. 1745-1769
Multi-marginal optimal transport: Theory and applications
Pass, Brendan
p. 1771-1790
Motivations, ideas and applications of ramified optimal transportation
Xia, Qinglan
p. 1791-1832