Name
Title | ||
|---|---|---|
Use of Asymptotics for New Dynamic Adapted Mesh Construction for Periodic Solutions with an Interior Layer of Reaction-Diffusion-Advection Equations. |
Abstract | ||
|---|---|---|
This paper presents the development of analytic-numerical approaches to study periodically moving fronts in singularly perturbed reaction-diffusion-advection models. We describe the results of rigorous asymptotic treatment of the problem and suggest a method to generate a dynamic adapted mesh for the numerical solution of such problems. This method based on a priori information. In particular, we take into account a priori estimates on the location of the transition layer, its width and structure. An example is presented to demonstrate the effectiveness of the proposed method. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1007/978-3-319-57099-0_10 | Lecture Notes in Computer Science |
Keywords | Field | DocType |
Singularly perturbed parabolic periodic problems,Interior layer,Shishkin mesh,Dynamic adapted mesh | Discrete mathematics,Applied mathematics,Topology,Computer science,A priori and a posteriori,Advection,Periodic graph (geometry),Reaction–diffusion system,Asymptotic analysis | Conference |
Volume | ISSN | Citations |
10187 | 0302-9743 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dmitry Lukyanenko | 1 | 0 | 2.70 |
| Nikolay Nefedov | 2 | 7 | 4.41 |
| Egor Nikulin | 3 | 0 | 0.34 |
| Vladimir Volkov | 4 | 0 | 0.68 |