Name
Title | ||
|---|---|---|
Analysis for Time Discrete Approximations of Blow-up Solutions of Semilinear Parabolic Equations |
Abstract | ||
|---|---|---|
We prove a posteriori error estimates for time discrete approximations, for semilinear parabolic equations with solutions that might blow up in finite time. In particular we consider the backward Euler and the Crank-Nicolson methods. The main tools that are used in the analysis are the reconstruction technique and energy methods combined with appropriate fixed point arguments. The final estimates we derive are conditional and lead to error control near the blow up time. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1137/100796819 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
error control,crank-nicolson method,blow-up solutions,main tool,finite time,final estimate,appropriate fixed point argument,energy method,posteriori error estimate,time discrete approximations,time discrete approximation,reconstruction technique,semilinear parabolic equations,backward euler method,crank nicolson method | Parabolic partial differential equation,Mathematical optimization,Mathematical analysis,A priori and a posteriori,Approximations of π,Error detection and correction,Duhamel's principle,Fixed point,Backward Euler method,Mathematics,Crank–Nicolson method | Journal |
Volume | Issue | ISSN |
49 | 1 | 0036-1429 |
Citations | PageRank | References |
3 | 0.41 | 11 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Irene Kyza | 1 | 9 | 2.50 |
| Charalambos Makridakis | 2 | 253 | 48.36 |