Geodesic

Sommaire du Fascicule no. 1

New mapping properties of the time domain electric field integral equation
p. 1-15
Finite element exterior calculus for parabolic problems
p. 17-34
A convergent explicit finite difference scheme for a mechanical model for tumor growth
p. 35-62
A numerical method for Mean Field Games on networks
p. 63-88
An analysis of galerkin proper orthogonal decomposition for subdiffusion
p. 89-113
Formal deduction of the Saint-Venant–Exner model including arbitrarily sloping sediment beds and associated energy
p. 115-145
Generalized finite element methods for quadratic eigenvalue problems
p. 147-163
Superconvergence by M-decompositions. Part II: Construction of two-dimensional finite elements
p. 165-186
A stabilized P 1 -nonconforming immersed finite element method for the interface elasticity problems
p. 187-207
Optimized waveform relaxation methods for RC circuits: discrete case
p. 209-223
Numerical approximation of stochastic conservation laws on bounded domains
p. 225-278
Error estimates for a numerical method for the compressible Navier–Stokes system on sufficiently smooth domains
p. 279-319
Sparse polynomial approximation of parametric elliptic PDEs. Part I: affine coefficients
p. 321-339
Sparse polynomial approximation of parametric elliptic PDEs. Part II: lognormal coefficients
p. 341-363
Superconvergence by M-decompositions. Part III: Construction of three-dimensional finite elements
p. 365-398

Sommaire du Fascicule no. 2

Mixed finite element methods for linear elasticity and the Stokes equations based on the Helmholtz decomposition
p. 399-425
On nontraditional quasi-geostrophic equations
p. 427-442
Simultaneous reduced basis approximation of parameterized elliptic eigenvalue problems
p. 443-465
Superconvergence of Discontinuous Galerkin methods based on upwind-biased fluxes for 1D linear hyperbolic equations
p. 467-486
Fractional-step methods and finite elements with symmetric stabilization for the transient Oseen problem
p. 487-507
Divergence free virtual elements for the stokes problem on polygonal meshes
p. 509-535
A priori diffusion-uniform error estimates for nonlinear singularly perturbed problems: BDF2, midpoint and time DG
p. 537-563
Analysis of a dynamic viscoelastic-viscoplastic piezoelectric contact problem
p. 565-586
Convergence of solutions to finite difference schemes for singular limits of nonlinear evolutionary PDEs
p. 587-614
A Convergent adaptive edge element method for an optimal control problem in magnetostatics
p. 615-640
Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques
p. 641-677
A generalized Mimetic Finite Difference method and Two-Point Flux schemes over Voronoi diagrams
p. 679-706
Standard finite elements for the numerical resolution of the elliptic Monge–Ampère equation: Aleksandrov solutions
p. 707-725
Uniform discrete Sobolev estimates of solutions to finite difference schemes for singular limits of nonlinear PDEs
p. 727-757

Sommaire du Fascicule no. 3

A contact problem in thermoviscoelastic diffusion theory with second sound
p. 759-796
A virtual volume method for heterogeneous and anisotropic diffusion-reaction problems on general meshes
p. 797-824
Finite element approximation of Dirichlet control using boundary penalty method for unsteady Navier–Stokes equations
p. 825-849
A numerical comparison of some Multiscale Finite Element approaches for advection-dominated problems in heterogeneous media
p. 851-888
Bloch waves in crystals and periodic high contrast media
p. 889-918
L 2 -stability of a finite element – finite volume discretization of convection-diffusion-reaction equations with nonhomogeneous mixed boundary conditions
p. 919-947
Reconstruction of polygonal inclusions in a heat conductive body from dynamical boundary data
p. 949-964
Low-thrust Lyapunov to Lyapunov and Halo to Halo missions with L 2 -minimization
p. 965-996
Blended numerical schemes for the advection equation and conservation laws
p. 997-1019
Domain decomposition preconditioners for the discontinuous Petrov–Galerkin method
p. 1021-1044
Existence and uniqueness of a solution for a field/circuit coupled problem
p. 1045-1061
Stability analysis and error estimates of Lax–Wendroff discontinuous Galerkin methods for linear conservation laws
p. 1063-1087
Numerical approximation of a non-smooth phase-field model for multicomponent incompressible flow
p. 1089-1117
Numerical approximation of viscoelastic fluids
p. 1119-1144

Sommaire du Fascicule no. 4

A generalized finite element method for linear thermoelasticity
p. 1145-1171
Preconditioners for the Discontinuous Galerkin time-stepping method of arbitrary order
p. 1173-1195
Isogeometric analysis and proper orthogonal decomposition for the acoustic wave equation
p. 1197-1221
A finite volume method for nonlocal competition-mutation equations with a gradient flow structure
p. 1223-1243
Convergence of a Strang splitting finite element discretization for the Schrödinger–Poisson equation
p. 1245-1278
New transmission condition accounting for diffusion anisotropy in thin layers applied to diffusion MRI
p. 1279-1301
A hybrid two-step finite element method for flux approximation: a priori estimates
p. 1303-1316
On the Steklov problem in a domain perforated along a part of the boundary
p. 1317-1342
On the mach-uniformity of the Lagrange-projection scheme
p. 1343-1366
Finite element quasi-interpolation and best approximation
p. 1367-1385
Numerical simulation of wave propagation in inhomogeneous media using Generalized Plane Waves
p. 1387-1406
Numerical analysis of a stabilized finite element approximation for the three-field linearized viscoelastic fluid problem using arbitrary interpolations
p. 1407-1427
Dimensional model reduction for flow through fractures in poroelastic media
p. 1429-1471
A piecewise linear FEM for an optimal control problem of fractional operators: error analysis on curved domains
p. 1473-1500
Analysis and approximations of the evolutionary Stokes equations with inhomogeneous boundary and divergence data using a parabolic saddle point formulation
p. 1501-1526
A novel nonlocal potential solver based on nonuniform FFT for efficient simulation of the Davey−Stewartson equations
p. 1527-1538
A second order time-stepping scheme for parabolic interface problems with moving interfaces
p. 1539-1560

Sommaire du Fascicule no. 5

An edge-based scheme on polyhedral meshes for vector advection-reaction equations
p. 1561-1581
A convergent method for linear half-space kinetic equations
p. 1583-1615
Discretization error cancellation in electronic structure calculation: toward a quantitative study
p. 1617-1636
Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part I: A nonlinear scheme
p. 1637-1661
Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part II: A linear scheme
p. 1663-1689
A DDFV method for a Cahn−Hilliard/Stokes phase field model with dynamic boundary conditions
p. 1691-1731
A posteriori error estimates for discontinuous Galerkin methods using non-polynomial basis functions. Part II: Eigenvalue problems
p. 1733-1753
Spacetime discontinuous Galerkin methods for solving convection-diffusion systems
p. 1755-1781
A penalty method for a linear Koiter shell model
p. 1783-1803
Asymptotic-preserving well-balanced scheme for the electronic M 1 model in the diffusive limit: Particular cases
p. 1805-1826
An Adaptive Parametrized-Background Data-Weak approach to variational data assimilation
p. 1827-1858
Convergence of multi-revolution composition time-splitting methods for highly oscillatory differential equations of Schrödinger type
p. 1859-1882
Convergence analysis of a BDF2 / mixed finite element discretization of a Darcy–Nernst–Planck–Poisson system
p. 1883-1902
Analytical treatment for the asymptotic analysis of microscopic impenetrability constraints for atomistic systems
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
p. 1931-1955
Coriolis effect on water waves
p. 1957-1985
A finite volume method for undercompressive shock waves in two space dimensions
p. 1987-2015
An adaptive finite element PML method for the elastic wave scattering problem in periodic structures
p. 2017-2047

Sommaire du Fascicule no. 6

A note on semilinear fractional elliptic equation: analysis and discretization
p. 2049-2067
Higher order topological derivatives for three-dimensional anisotropic elasticity
p. 2069-2092
Semi-discrete error estimates and implementation of a mixed method for the Stefan problem
p. 2093-2126
Some a posteriori error bounds for reduced-order modelling of (non-)parametrized linear systems
p. 2127-2158
A posteriori error analysis for the optimal control of magneto-static fields
p. 2159-2191
Geometric constraints in descent methods for shape optimisation
p. 2193-2212
Superconvergence of discontinuous Galerkin methods for 1-D linear hyperbolic equations with degenerate variable coefficients
p. 2213-2235
Adaptive approximation of the Monge–Kantorovich problem via primal-dual gap estimates
p. 2237-2261
Analysis of patch-test consistent atomistic-to-continuum coupling with higher-order finite elements
p. 2263-2288
Cellulose biodegradation models; an example of cooperative interactions in structured populations
p. 2289-2318
Finite element approximation for the dynamics of fluidic two-phase biomembranes
p. 2319-2366
A semi-discrete large-time behavior preserving scheme for the augmented Burgers equation
p. 2367-2398
Stable perfectly matched layers for a class of anisotropic dispersive models. Part I: necessary and sufficient conditions of stability
p. 2399-2434
Error analysis of truncated expansion solutions to high-dimensional parabolic PDEs
p. 2435-2463
FEM for quasilinear obstacle problems in bad domains
p. 2465-2485
Analysis of an ungauged T, φ–φ formulation of the eddy current problem with currents and voltage excitations
p. 2487-2509
Inhomogeneous steady-state problem of complex heat transfer
p. 2511-2519