184 citations · 805 across the 36 of their papers we have counts for
4 papers · 1 filter
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…
Contact-aware simulations of particulate Stokesian suspensions
Libin Lu, Abtin Rahimian, Denis Zorin
We present an efficient, accurate, and robust method for simulation of dense suspensions of deformable and rigid particles immersed in Stokesian fluid in two dimensions. We use a w…
Ubiquitous evaluation of layer potentials using Quadrature by Kernel-Independent Expansion
Abtin Rahimian, Alex Barnett, Denis Zorin
We introduce a quadrature scheme--QBKIX--for the high-order accurate evaluation of layer potentials associated with general elliptic PDEs near to and on the domain boundary. Relyin…
A fast platform for simulating flexible fiber suspensions applied to cell mechanics
Ehssan Nazockdast, Abtin Rahimian, Denis Zorin +1
We present a novel platform for the large-scale simulation of fibrous structures immersed in a Stokesian fluid and evolving under confinement or in free-space. One of the main moti…