48 citations · 139 across the 10 of their papers we have counts for
3 papers · 1 filter
Analysis of heat transfer and water flow with phase change in saturated porous media by bond-based peridynamics
Petr Nikolaev, Majid Sedighi, Andrey P Jivkov +1
A wide range of natural and industrial processes involve heat and mass transport in porous media. In some important cases the transported substance may undergo phase change, e.g. f…
A Geometric Formulation of Linear Elasticity Based on Discrete Exterior Calculus
Pieter D. Boom, Odysseas Kosmas, Lee Margetts +1
A direct formulation of linear elasticity of cell complexes based on discrete exterior calculus is presented. The primary unknown are displacements, represented by primal vector-va…
Parallelized Discrete Exterior Calculus for Three-Dimensional Elliptic Problems
Pieter D. Boom, Ashley Seepujak, Odysseas Kosmas +2
A formulation of elliptic boundary value problems is used to develop the first discrete exterior calculus (DEC) library for massively parallel computations with 3D domains. This ca…