Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
The superconvergent patch recovery (SPR) and adaptive finite element refinement
Computer Methods in Applied Mechanics and Engineering - Special issue on reliability in computational mechanics
A convergent adaptive algorithm for Poisson's equation
SIAM Journal on Numerical Analysis
Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence
SIAM Journal on Numerical Analysis
A Posteriori Error Estimates of Recovery Type for Distributed Convex Optimal Control Problems
Journal of Scientific Computing
A Posteriori Error Estimation for Discontinuous Galerkin Finite Element Approximation
SIAM Journal on Numerical Analysis
Analysis of linear and quadratic simplicial finite volume methods for elliptic equations
Numerische Mathematik
An adaptive discontinuous finite volume method for elliptic problems
Journal of Computational and Applied Mathematics
SIAM Journal on Numerical Analysis
| Hi-index | 7.29 |
This paper presents two types of a posterior error estimations for discontinuous finite volume methods to elliptic interface problems. One is the residual-based estimator and other one is the recovery-based estimator. For both a posterior error estimators, we establish reliability and efficiency bounds. Numerical experiments are conducted to validate our theoretical conclusions.