@Article{IJNAM-3-1,
author = {Ern, A. and Proft, J.},
title = {Multi-Algorithmic Methods for Coupled Hyperbolic-Parabolic Problems},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2006},
volume = {3},
number = {1},
pages = {94--114},
abstract = {<p style="text-align: justify;">We study computational methods for linear, degenerate
advection-diffusion equations leading to coupled hyperbolic-parabolic
problems. A multi-algorithmic approach is proposed in which a different
approximation method is used locally depending on the mathematical
nature of the problem. Our analysis focuses on stability and a priori
error estimates of coupled continuous and discontinuous Galerkin
methods, achieving a global $h^{p+\frac{1}{2}}$ estimate. Both the mathematical
analysis and the numerical results demonstrate that careful
consideration is necessary when defining appropriate interface
conditions between the hyperbolic and parabolic regions.</p>},
issn = {2617-8710},
doi = {https://doi.org/2006-IJNAM-891},
url = {https://global-sci.com/article/83815/multi-algorithmic-methods-for-coupled-hyperbolic-parabolic-problems}
}