Geodesic

Sommaire du Fascicule no. 1

Analysis of an optimization-based atomistic-to-continuum coupling method for point defects
p. 1-41
Effective transmission conditions for thin-layer transmission problems in elastodynamics. The case of a planar layer model
p. 43-75
A relation between a dynamic fracture model and quasi-static evolution
p. 77-91
Time domain simulation of a piano. Part 2: numerical aspects
p. 93-133
Entropy-dissipative discretization of nonlinear diffusion equations and discrete Beckner inequalities
p. 135-162
A minimum-residual mixed reduced basis method: Exact residual certification and simultaneous finite-element reduced-basis refinement
p. 163-185
A conservative slide line method for cell-centered semi-Lagrangian and ALE schemes in 2D
p. 187-214
A Γ-Convergence Result for the Upper Bound Limit Analysis of Plates
p. 215-235
Optimal control of the full time-dependent maxwell equations
p. 237-261
Discretization by rational and quasi-rational functions of multi-dimensional elliptic problems in the whole space
p. 263-288
Robust Arbitrary Order Mixed Finite Element Methods for the Incompressible Stokes Equations with pressure independent velocity errors
p. 289-309

Sommaire du Fascicule no. 2

A hybrid-mixed method for elasticity
p. 311-336
A discontinuous Galerkin reduced basis element method for elliptic problems
p. 337-360
Error estimates of a stabilized Lagrange−Galerkin scheme for the Navier−Stokes equations
p. 361-380
Time optimal control for a reaction diffusion system arising in cardiac electrophysiology – a monolithic approach
p. 381-414
Electrode modelling: The effect of contact impedance
p. 415-431
A Nonconforming Finite Element Approximation for the von Karman equations
p. 433-454
Existence of solutions to an elasto-viscoplastic model with kinematic hardening and r-Laplacian fracture approximation
p. 455-473
Convergence of a numerical scheme for a mixed hyperbolic-parabolic system in two space dimensions
p. 475-497
On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions
p. 499-539
Nitsche’s method for parabolic partial differential equations with mixed time varying boundary conditions
p. 541-563
Analysis of the penalized 3D variable viscosity stokes equations coupled to diffusion and transport
p. 565-591
Homogenization of a system of elastic and reaction-diffusion equations modelling plant cell wall biomechanics
p. 593-631

Sommaire du Fascicule no. 3

Special Issue – Polyhedral discretization for PDE

Preface
p. 633-634
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods
p. 635-650
Interpolation error estimates for harmonic coordinates on polytopes
p. 651-676
Geometrically defined basis functions for polyhedral elements with applications to computational electromagnetics
p. 677-698
hp-Version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes
p. 699-725
Mixed virtual element methods for general second order elliptic problems on polygonal meshes
p. 727-747
Gradient schemes: Generic tools for the numerical analysis of diffusion equations
p. 749-781
A plane wave virtual element method for the Helmholtz problem
p. 783-808
Mimetic finite difference approximation of flows in fractured porous media
p. 809-832
Constructions of some minimal finite element systems
p. 833-850
The arbitrary order mixed mimetic finite difference method for the diffusion equation
p. 851-877
The nonconforming virtual element method
p. 879-904
The electromagnetic scattering problem with generalized impedance boundary conditions
p. 905-920
A robust domain decomposition method for the Helmholtz equation with high wave number
p. 921-944

Sommaire du Fascicule no. 4

The Interaction Picture method for solving the generalized nonlinear Schrödinger equation in optics
p. 945-964
Stability analysis and error estimates of an exactly divergence-free method for the magnetic induction equations
p. 965-993
Domain decomposition method for crack problems with nonpenetration condition
p. 995-1009
An explicit finite-difference scheme for one-dimensional Generalized Porous Medium Equations: Interface tracking and the hole filling problem
p. 1011-1033
A posteriori analysis of iterative algorithms for Navier–Stokes problem
p. 1035-1055
Substructuring preconditioners for h-p Mortar FEM
p. 1057-1082
Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems
p. 1083-1105
Adaptive low-rank methods for problems on Sobolev spaces with error control in L 2
p. 1107-1136
Error estimates of the integral deferred correction method for stiff problems
p. 1137-1166
A two-fluid four-equation model with instantaneous thermodynamical equilibrium
p. 1167-1192
A posteriori error estimates for discontinuous Galerkin methods using non-polynomial basis functions Part I: Second order linear PDE
p. 1193-1222
Reconstruction of independent sub-domains for a class of Hamilton–Jacobi equations and application to parallel computing
p. 1223-1240
Distributed shape derivative via averaged adjoint method and applications
p. 1241-1267

Sommaire du Fascicule no. 5

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
p. 1269-1287
Convergence of fully discrete schemes for diffusive dispersive conservation laws with discontinuous coefficient
p. 1289-1331
Adaptive finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology
p. 1333-1369
Numerical aspects of large-time optimal control of Burgers equation
p. 1371-1401
Convergence rates of supercell calculations in the reduced Hartree−Fock model
p. 1403-1424
Multiscale analysis of linear evolution equations with applications to nonlocal models for heterogeneous media
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
p. 1457-1489
Coupling of a two phase gas liquid compositional 3D Darcy flow with a 1D compositional free gas flow
p. 1491-1522
Energy stable and convergent finite element schemes for the modified phase field crystal equation
p. 1523-1560
Higher-order finite element methods for elliptic problems with interfaces
p. 1561-1583

Sommaire du Fascicule no. 6

Energy conservative finite element semi-discretization for vibro-impacts of plates on rigid obstacles
p. 1585-1613
Numerical analysis of Darcy problem on surfaces
p. 1615-1630
Comparison of two-fluid models on steam-water transients
p. 1631-1657
Finite element heterogeneous multiscale method for nonlinear monotone parabolic homogenization problems
p. 1659-1697
Semi-Lagrangian discontinuous Galerkin schemes for some first- and second-order partial differential equations
p. 1699-1730
Detectability and state estimation for linear age-structured population diffusion models
p. 1731-1761
Maxwell’s equations for conductors with impedance boundary conditions: Discontinuous Galerkin and Reduced Basis Methods
p. 1763-1787
A posteriori error analysis for a viscous flow-transport problem
p. 1789-1816
Existence and uniqueness of global solutions for the modified anisotropic 3D Navier−Stokes equations
p. 1817-1823
Scaling limits in computational Bayesian inversion
p. 1825-1856
Reduced basis approximation and a posteriori error estimates for parametrized elliptic eigenvalue problems
p. 1857-1885
Nondiffusive conservative schemes based on approximate Riemann solvers for Lagrangian gas dynamics
p. 1887-1916
A convex analysis approach to multi-material topology optimization
p. 1917-1936