TY - JOUR
T1 - Parabolic Singularly Perturbed Problems with Exponential Layers: Robust Discretizations Using Finite Elements in Space on Shishkin Meshes
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 593
EP - 606
PY - 2010
DA - 2010/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/740.html
KW - Convection-diffusion, transient, finite element, Shishkin mesh, time discretization.
AB - <p style="text-align: justify;">A parabolic initial-boundary value problem with solutions displaying
exponential layers is solved using layer-adapted meshes. The paper combines
finite elements in space, i.e., a pure Galerkin technique on a Shishkin
mesh, with some standard discretizations in time. We prove error estimates as
well for the $\theta$-scheme as for discontinuous Galerkin in time.</p>