85 citations · 136 across the 6 of their papers we have counts for
8 papers
A robust solver for elliptic PDEs in 3D complex geometries
Matthew J. Morse, Abtin Rahimian, Denis Zorin
We develop a boundary integral equation solver for elliptic partial differential equations on complex \threed geometries. Our method is efficient, high-order accurate and robustly…
Scalable Simulation of Realistic Volume Fraction Red Blood Cell Flows through Vascular Networks
Libin Lu, Matthew J. Morse, Abtin Rahimian +2
High-resolution blood flow simulations have potential for developing better understanding biophysical phenomena at the microscale, such as vasodilation, vasoconstriction and overal…
Parallel contact-aware simulations of deformable particles in 3D Stokes flow
Libin Lu, Abtin Rahimian, Denis Zorin
We present a parallel-scalable method for simulating non-dilute suspensions of deformable particles immersed in Stokesian fluid in three dimensions. A critical component in these s…
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…
Cytoplasmic flows as signatures for the mechanics of mitotic positioning
Ehssan Nazockdast, Abtin Rahimian, Daniel Needleman +1
The proper positioning of the mitotic spindle is crucial for asymmetric cell division and generating cell diversity during development. Proper position in the single-cell embryo of…
A Tensor-Train accelerated solver for integral equations in complex geometries
Eduardo Corona, Abtin Rahimian, Denis Zorin
We present a framework using the Quantized Tensor Train (QTT) decomposition to accurately and efficiently solve volume and boundary integral equations in three dimensions. We descr…