ncku-talk2011-02-22

NCTS(South)/ NCKU Math Colloquium

DATE 2011-02-22　10:10-11:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER Dr Yu-Chen Shu（中央研究院應用科學中心）

TITLE Coupling Interface Method for Interface Problems

ABSTRACT In this talk, a coupling interface method (CIM) is proposed for solving complex interface problems, where the coefficients, the source terms, and the solutions may be discontinuous or singular across the interfaces. The method uses adaptive-order strategy in one dimension and is extended to high dimensions through a dimension-by-dimension approach. To connect information from each dimension, a coupled equation for the principal derivatives is derived through the jump conditions in each coordinate direction. The cross derivatives are approximated by one-side interpolation. The method is easy to implement and flexible to integrate with other approaches. Two applications, elliptic interface problems and wave-guide modes of surface plasmon, are shown. Several examples are tested to show the efficiency, robustness and accuracy of the method.

NCTS(South)/ NCKU Math Colloquium

DATE	2011-02-22　10:10-11:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	Dr Yu-Chen Shu（中央研究院應用科學中心）

TITLE	Coupling Interface Method for Interface Problems

ABSTRACT	In this talk, a coupling interface method (CIM) is proposed for solving complex interface problems, where the coefficients, the source terms, and the solutions may be discontinuous or singular across the interfaces. The method uses adaptive-order strategy in one dimension and is extended to high dimensions through a dimension-by-dimension approach. To connect information from each dimension, a coupled equation for the principal derivatives is derived through the jump conditions in each coordinate direction. The cross derivatives are approximated by one-side interpolation. The method is easy to implement and flexible to integrate with other approaches. Two applications, elliptic interface problems and wave-guide modes of surface plasmon, are shown. Several examples are tested to show the efficiency, robustness and accuracy of the method.