In this paper, we investigate and present an adaptive Discontinuous Galerkin algorithm driven by an adjoint-based error estimation technique for the inviscid compressible Euler equations. This approach requires the numerical approximations for the flow (i.e. primal) problem and the adjoint (i.e. dual) problem which corresponds to a particular simulation objective output of interest. The converg...

In this paper, we investigate and present an adaptive Discontinuous Galerkin algorithm driven by an adjoint-based error estimation technique for the inviscid compressible Euler equations. This approach requires the numerical approximations for the flow (i.e. primal) problem and the adjoint (i.e. dual) problem which corresponds to a particular simulation objective output of interest. The converg...

The pseudostress-velocity formulation of the stationary Stokes problem allows a Raviart-Thomas mixed finite element formulation with quasi-optimal convergence and some superconvergent reconstruction of the velocity. This local postprocessing gives rise to some averaging a posteriori error estimator with explicit constants for reliable error control. Standard residual-based explicit a posteriori...

In this paper, we propose a new framework for segmenting feature-based moving objects under affine subspace model. Since the feature trajectories in practice are highdimensional and contain a lot of noise, we firstly apply the sparse PCA to represent the original trajectories with a lowdimensional global subspace, which consists of the orthogonal sparse principal vectors. Subsequently, the loca...

In this paper, subpixel shift estimation method using phase correlation with local region is proposed for registration of noisy images. Commonly, phase correlation based on the Fourier shift property is used to estimate the shift between images. Subpixel shift of images can be estimated by the analysis for the phase correlation of downsampled images. However, in case of images with noise or ali...