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Justin Crum

dblp:241/7282 · DBLP profile ↗
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2ranked-venue papers
2as first author
1since 2021 · last 2022
—ORCID · none

Domains — the database's venue-derived domains; a paper can count in several

Graphics, computer vision, multimedia, augmented reality and games · 1 · 1 first-authorTheory of computation · 1 · 1 first-author · 1 since 2021

Expertise — from the expertise taxonomy: the topics of the expert's papers under the CCF categories. A weight counts papers with recency: 1 for a paper about the topic, 0.3 when the topic is its context, halved every five years.

Computer graphics and multimedia
1 paper
Geometric modeling and processing · 100%
Theoretical computer science
1 paper
Mathematical optimization · 100%

Topics — the 3 heaviest of 3, each with the papers that count most for it

TopicWeightPapersLastEvidence papers
Geometric modeling and processing › discrete geometry
discrete differential geometry
0.412019
Extending Discrete Exterior Calculus to a Fractional Derivative · Comput. Aided Des. 2019
Geometric modeling and processing › discrete geometry › discrete differential geometry
discrete exterior calculus
0.412019
Extending Discrete Exterior Calculus to a Fractional Derivative · Comput. Aided Des. 2019
Mathematical optimization
fractional calculus
0.112019
Extending Discrete Exterior Calculus to a Fractional Derivative · Comput. Aided Des. 2019

Methods — techniques the papers use, named apart from their topics

fractional derivative extension · 0.8
YearPublicationVenuePosition
2022 Bringing Trimmed Serendipity Methods to Computational Practice in Firedrake
abstract
We present an implementation of the trimmed serendipity finite element family, using the open-source finite element package Firedrake. The new elements can be used seamlessly within the software suite for problems requiring H 1 , H (curl), or H (div)-conforming elements on meshes of squares or cubes. To test how well trimmed serendipity elements perform in comparison to traditional tensor product elements, we perform a sequence of numerical experiments including the primal Poisson, mixed Poisson, and Maxwell cavity eigenvalue problems. Overall, we find that the trimmed serendipity elements converge, as expected, at the same rate as the respective tensor product elements, while being able to offer significant savings in the time or memory required to solve certain problems.
Justin Crum, Cyrus Cheng, David A. Ham, Lawrence Mitchell, Robert C. Kirby, Joshua A. Levine, Andrew Gillette
ACM Trans. Math. Softw.1
2019 Extending Discrete Exterior Calculus to a Fractional Derivative
Justin Crum, Joshua A. Levine, Andrew Gillette
Comput. Aided Des.1