Name
Title | ||
|---|---|---|
Goal-Oriented Local A Posteriori Error Estimators for H(div) Least-Squares Finite Element Methods |
Abstract | ||
|---|---|---|
We propose a goal-oriented, local a posteriori error estimator for H(div) least-squares (LS) finite element methods. Our main interest is to develop an a posteriori error estimator for the flux approximation in a preassigned region of interest $D \subset \Omega$. The estimator is obtained from the LS functional by scaling residuals with proper weight coefficients. The weight coefficients are given in terms of local mesh size $h_T$ and a function $\omega_D$ depending on the distance to $D$. This new error estimator measures the pollution effect from the outside region of $D$ and provides a basis for local refinement in order to efficiently approximate the solution in $D$. Numerical experiments show superior performances of our goal-oriented a posteriori estimators over the standard LS functional and global error estimators. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1137/110822682 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
proper weight coefficient,error estimators,posteriori error estimator,preassigned region,local refinement,least-squares finite element methods,global error estimator,local mesh size,outside region,main interest,new error estimator,posteriori estimator,goal-oriented local a posteriori,finite element methods,least squares method | Least squares,Mathematical optimization,Mathematical analysis,A priori and a posteriori,Finite element method,Omega,Region of interest,Global error,Scaling,Mathematics,Estimator | Journal |
Volume | Issue | ISSN |
49 | 6 | 0036-1429 |
Citations | PageRank | References |
1 | 0.37 | 10 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| zhiqiang cai | 1 | 344 | 78.81 |
| JaEun Ku | 2 | 14 | 6.30 |