@Article{IJNAM-7-3, author = {}, title = {Parabolic Singularly Perturbed Problems with Exponential Layers: Robust Discretizations Using Finite Elements in Space on Shishkin Meshes}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2010}, volume = {7}, number = {3}, pages = {593--606}, abstract = {

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.

}, issn = {2617-8710}, doi = {https://doi.org/2010-IJNAM-740}, url = {https://global-sci.com/article/83610/parabolic-singularly-perturbed-problems-with-exponential-layers-robust-discretizations-using-finite-elements-in-space-on-shishkin-meshes} }