We present a numerical method for the approximation of microstructure in martensitic crystals by piecewise laminates, and we give computational results for several three-dimensional models of martensitic microstructure by using piecewise second-order laminates.

This paper is devoted to development of a new synthesis method of a multi-modal and 2-dimensional piecewise affine system that generates a desired stable limit cycle and investigation of some characteristics for the system. The new proposed method has some advantages on the convergence property of solution trajectories to a desired limit cycle in comparison with the previous one. First, the pro...

This paper presents an uncalibrated view synthesis method using piecewise planar regions that are extracted from a given set of image pairs through planar segmentation. Our work concentrates on a view synthesis method that does not need estimation of camera parameters and scene structure. For our goal, we simply assume that images of real world are composed of piecewise planar regions. Then, we...

In this letter we propose a new Shape from Focus (SFF) method using piecewise curved search windows for accurate 3-D shape recovery. The new method uses piecewise curved windows to compute focus measure and to search for Focus Image Surface (FIS) in image space. The experimental result shows that our new method gives more accurate result than the previous SFF methods. key words: CCD camera, foc...

We prove error estimates for the following two mixed finite element methods related to reduced integration: A method for Stokes' problem using rectangular elements with piecewise bilinear approximations for the velocities and piecewise constants for the pressure, and one method for a plate problem using bilinear approximations for transversal displacement and rotations and piecewise constants f...