18 citations · 24 across the 4 of their papers we have counts for
4 papers
Incidence-based Combinatorial Geometry on Cell Complexes
Andrey P. Jivkov, Muhammad Azeem, Aneirin Griffiths +1
Combinatorial Mesh Calculus (CMC) formulates conservation laws directly on cell complexes using combinatorial differential forms and their cochain representations. This note develo…
Diffusion in multi-dimensional solids using Forman's combinatorial differential forms
Kiprian Berbatov, Pieter D. Boom, Andrew L. Hazel +1
The formulation of combinatorial differential forms, proposed by Forman for analysis of topological properties of discrete complexes, is extended by defining the operators required…
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…