Adaptive meshing for the boundary integral equation method: definition and test of an error estimator

An Efficient Adaptive Boundary Matching Algorithm for Video Error Concealment

Sending compressed video data in error-prone environments (like the Internet and wireless networks) might cause data degradation. Error concealment techniques try to conceal the received data in the decoder side. In this paper, an adaptive boundary matching algorithm is presented for recovering the damaged motion vectors (MVs). This algorithm uses an outer boundary matching or directional tempo...

The Boundary Integral Equation Method

Boundary temperature reconstruction in an inverse heat conduction problem using boundary integral equation method

‎In this paper‎, ‎we consider an inverse boundary value problem for two-dimensional heat equation in an annular domain‎. ‎This problem consists of determining the temperature on the interior boundary curve from the Cauchy data (boundary temperature and heat flux) on the exterior boundary curve‎. ‎To this end‎, ‎the boundary integral equation method is used‎. ‎Since the resulting system of linea...

Error analysis for a fast numerical method to the boundary integral equation of the first kind

[Received on 25 August 2005] For two-dimensional boundary integral equations of the first kind with logarithm kernels, the use of the conventional boundary element methods gives linear algebraic systems with dense matrix. In a recent work [J. Comput. Math., 22 (2004), pp. 287-298], it is demonstrated that the dense matrix can be replaced by a sparse one if appropriate graded meshes are used in ...

An error indicator and automatic adaptive meshing for electrostatic boundary element simulations