Name
Abstract | ||
|---|---|---|
It is known that the energy technique for a posteriori error analysis of finite element discretizations of parabolic problems yields suboptimal rates in the norm $L^\infty (0,T; L^2 (\Omega)).$ In this paper, we combine energy techniques with an appropriate pointwise representation of the error based on an elliptic reconstruction operator which restores the optimal order (and regularity for piecewise polynomials of degree higher than one). This technique may be regarded as the "dual a posteriori" counterpart of Wheeler's elliptic projection method in the a priori error analysis. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1137/S0036142902406314 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
semidiscrete parabolic problems,finite element discretizations,elliptic reconstruction,error analysis,elliptic projection method,finite elements,posteriori error analysis,energy technique. 1,posteriori error estimates,appropriate pointwise representation,parabolic problems yield,optimal order,energy technique,elliptic reconstruction operator,. a posteriori error estimators,parabolic problems,piecewise polynomial,finite element,projection method | Mathematical optimization,Polynomial,Mathematical analysis,A priori and a posteriori,Projection method,Finite element method,Partial differential equation,Piecewise,Mathematics,Parabola,Pointwise | Journal |
Volume | Issue | ISSN |
41 | 4 | 0036-1429 |
Citations | PageRank | References |
33 | 2.26 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Charalambos Makridakis | 1 | 253 | 48.36 |
| Ricardo H. Nochetto | 2 | 907 | 110.08 |