MATCHED ASYMPTOTIC EXPANSION METHOD FOR A HOMOGENIZED INTERFACE MODEL

Matched asymptotic expansion method for an homogenized interface model

Homogenized Interface Model Describing Inhomogeneities Located on a Surface

We study the influence of heterogeneities located near a planar surface on the elastic response of a three-dimensional elastic medium. These heterogeneities can be either reinforcements, like steel reinforcements in concrete, or defects, like micro-cracks periodically distributed. We prove that their influence is of the second order from an energetic viewpoint. Then, we propose an “up to second...

Matched interface and boundary method for elasticity interface problems

Elasticity theory is an important component of continuum mechanics and has had widely spread applications in science and engineering. Material interfaces are ubiquity in nature and man-made devices, and often give rise to discontinuous coefficients in the governing elasticity equations. In this work, the matched interface and boundary (MIB) method is developed to address elasticity interface pr...

Comparison of the Matched Asymptotic Expansions Method

Either the matched asymptotic expansions method or the two-variable technique are available for treating boundary layer problems. A comparison of the two methods is achieved on dealing with elliptic boundary value problems. The two-variable technique is proved to be slightly more powerful than the matched expansions method. Nevertheless it fails to determine a closed class of approximate soluti...

Option Pricing in HJM Model using an Asymptotic Expansion Method

* This is the English version of the paper titled "Option Pricing in HJM Model using an Asymptotic Expansion Method" published in December 2004. This paper represents the personal views of the authors and is NOT the official view of the Financial Services Agency or the Financial Research and Training Center. † In preparing this paper, valuable advice was provided by Mr. Yoshihiko Uchida (Instit...