41 citations · 70 across the 7 of their papers we have counts for
7 papers
A fast solver for the spatially homogeneous electron Boltzmann equation
Milinda Fernando, Daniil Bochkov, James Almgren-Bell +5
We present a numerical method for the velocity-space, spatially homogeneous, collisional Boltzmann equation for electron transport in low-temperature plasma (LTP) conditions. Model…
A Sharp Numerical Method for the Simulation of Stefan Problems with Convective Effects
Elyce Bayat, Raphael Egan, Daniil Bochkov +2
We present a numerical method for the solution of interfacial growth governed by the Stefan model coupled with incompressible fluid flow. An algorithm is presented which takes spec…
A non-parametric shape optimization approach for solving inverse problems in directed self-assembly of block copolymers
Daniil Bochkov, Frederic Gibou
In this work we consider the inverse problem of finding guiding pattern shapes that result in desired self-assembly morphologies of block copolymer melts. Specifically, we model po…
Equilibrium of Free Surfaces and Nanoparticles in Self-Consistent Field Theory of Block Copolymers
Daniil Bochkov, Ivana Bagaric, Gaddiel Ouaknin +1
This work presents a general and unified theory describing block copolymer self-assembly in the presence of free surfaces and nanoparticles in the context of Self-Consistent Filed…
A Numerical Method for Sharp-Interface Simulations of Multicomponent Alloy Solidification
Daniil Bochkov, Tresa Pollock, Frederic Gibou
We present a computational method for the simulation of the solidification of multicomponent alloys in the sharp-interface limit. Contrary to the case of binary alloys where a fixe…
PDE-Based Multidimensional Extrapolation of Scalar Fields over Interfaces with Kinks and High Curvatures
Daniil Bochkov, Frederic Gibou
We present a PDE-based approach for the multidimensional extrapolation of smooth scalar quantities across interfaces with kinks and regions of high curvature. Unlike the commonly u…
Solving Elliptic Interface Problems with Jump Conditions on Cartesian Grids
Daniil Bochkov, Frederic Gibou
We present a simple numerical algorithm for solving elliptic equations where the diffusion coefficient, the source term, the solution and its flux are discontinuous across an irreg…