臺灣大學數學系與國家理論科學研究中心演講公告 NTU/NCTS Colloquium

Speaker：Professor Richard Tsai, U of Texas-Austin

Title：An Implicit Interface Boundary Integral Method for Poisson’s Equation on Arbitrary Domains

Abstract：We propose a simple formulation for constructing boundary integral methods to solve Poisson’s equation on domains with piecewise smooth boundaries defined through their signed distance function. Our formulation is based on averaging a family of parameterizations of an integral equation defined on the boundary of the domain, where the integrations are carried out in the level set framework using an appropriate Jacobian. By the coarea formula, the algorithm operates in the Euclidean space and does not require any explicit parameterization of the boundaries. We present numerical results in two and three dimensions.

Time：14:20 - 15:20, May. 28(Mon.), 2012

Place：Room 202, Astronomy and Mathematics Building, National Taiwan University(臺灣大學天文數學館202室)