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The paper is devoted to error estimates of a special FEM with lumping for parabolic PDEs in the L2-norm. This well-known FEM is given by the use of the vertical line method and conforming linear finite elements on a triangulation. The main result of the paper are new estimates in the L2-norm for the additional error term originated by lumping. Using these ones, for the FEM with lumping we can apply...
A self-stabilizing algorithm is presented in this paper that constructs a transport net corresponding to an undirected biconnected graph on a distributed or network model of computation. The algorithm is resilient to transient faults and does not require initialization. In addition, it is capable of handling topology changes in a transient manner. The paper includes a correctness proof of the algorithm...
A new domain decomposition method based on natural boundary reduction is devised for the solution of nonlinear time-dependent exterior wave problems. The two-dimensional nonlinear scalar wave equation is taken as a model to illustrate the method. The governing equation is first discretized in time, leading to a time-stepping scheme, where a nonlinear exterior elliptic problem has to be solved at each...
We discuss sequencing problems on a single machine with controllable job processing times. For the maximum job cost criterion, we present several polynomial time results. For the total weighted job completion time criterion, we present an NP-hardness result. Our results settle several open questions in this area.
We use solutions to quadratic forms in d+1 variables over finite fields to scatter points on the surface of the unit sphere Sd, d1. Applications are given for spherical t designs and generalized s energies.
In computer vision, an attention has been devoted to image-based scene representations. They allow to construct an arbitrary view of a rigid 3-D scene using transfer from two real 2-D reference images, rather than by rendering an explicit 3-D model. We focus on selecting the optimal set of reference images from a large set of images representing the scene. The selected set minimizes a weighted sum...
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