国家数学与交叉科学中心合肥分中心报告【Wei Cai 】
Title: Three New Mathematical Results for Scientific Computations
Speaker: Prof. Wei Cai , 0029cc金沙贵宾会大师讲席教授 & The University of North
Carolina at Charlotte
Place: Rm. 1416
Time: August 1, 2013, P.M. 3:30
with direct applications in scientific computations. First, we will
present an image charge method for Poisson and Poisson-Boltzmann
equations in a dielectric sphere and its application in
molecular dynamics simulations of biomolecules. Secondly, we will
present the construction of a new high order hierarchical basis
functions in the Sobolev space H(div) and its application in
imposing exact divergence-free conditions in MHD problems. Thirdly, we
will present a hybrid method of computing the Dirichlet-to-Neumann
mapping of elliptic equations by combining random walk method for
Feynman-Kac formula and a deterministic local boundary element method,
and its application for a parallel solver for projection methods for
incompressible flows.
