This volume gathers papers presented at the international conference BAIL 2018, which was held at the University of Strathclyde, Scotland from the 18th to the 22nd of June 2018. Written by mathematicians and engineers, the respective papers chiefly concern the theoretical and numerical analysis of problems involving boundary and interior layers. Covering a wide range of topics and sharing a wealth of insights, they provide an overview of the latest research into the theory and numerical approximation of problems involving boundary and interior layers.
Introduction.- Dual weighted residual based error control for
nonstationary convection-dominated equations: potential or
ballast.- Automatic variationally stable analysis
for FE computations: An introduction.- Practical contributions on the
ctitious domainmethod for a fluid-structure interaction
problem.- Implicit-explicit multistep methods fornonlinear
convection-diffusion equations.- H(div)-conforming spaces based on general
meshes, with interface constraints: accuracy enhancement, multiscale, and
hp-adaptividy.- A numerical method for the Hemker Problem.- On basic
iteration schemes for nonlinear AFC discretizations.- A linearly implicit
splitting method for solving time dependent semilinear reaction-diffusion
systems.- Improved energy-norm a posteriori error estimates for singularly
perturbed reaction-diffusion problems on anisotropic meshes.- Implicit LES
with high-order H(div)-conforming FEM for incompressible Navier-Stokes
flows.- Numerical methods for singularly perturbed parabolic problems with
incompatible boundary-initial data in two space dimensions.- Quasinorms in
semilinear elliptic problems.- Centred splash of a vertical jet on a
horizontal rotating disc: recent findings and resolving controversies over
the hydraulic jump.- Homogenisation of parabolic/hyperbolic
media.- Isogeometric analysis for singularly perturbed problems in 1-D: a
numerical study.
