2 papers
math.NA2018
QTT-isogeometric solver in two dimensions
L. Markeeva, I. Tsybulin, I. Oseledets
The goal of this paper is to develop a numerical algorithm that solves a two-dimensional elliptic partial differential equation in a polygonal domain using tensor methods and ideas…
math.OC2016
What Lies Beneath the Surface: Topological-Shape Optimization With the Kernel-Independent Fast Multipole Method
Igor Ostanin, Ivan Tsybulin, Mikhail Litsarev +2
The paper presents a new method for shape and topology optimization based on an efficient and scalable boundary integral formulation for elasticity. To optimize topology, our appro…