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19932026
most citedRevisiting the Edge of Chaos: Evolving Cellular Automata to Perform Computations

392 citations

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30 papers · 1 filter

math.NA2024

Graph Regularized Sparse Semi-Nonnegative Matrix Factorization for Data Reduction

Anthony Rhodes, Bin Jiang, Jenny Jiang

Non-negative Matrix Factorization (NMF) is an effective algorithm for multivariate data analysis, including applications to feature selection, pattern recognition, and computer vis…

math.NA2024★ 2 cited

Intrinsic mixed finite element methods for linear Cosserat elasticity

Andrea Dziubek, Kaibo Hu, Michael Karow +1

We propose two parameter-robust mixed finite element methods for linear Cosserat elasticity. The Cosserat coupling constant , connecting the displacement and rotation vect…

math.NA2024

Scalable Multilevel Monte Carlo Methods Exploiting Parallel Redistribution on Coarse Levels

Hillary R. Fairbanks, Delyan Z. Kalchev, Chak Shing Lee +1

We study an element agglomeration coarsening strategy that requires data redistribution at coarse levels when the number of coarse elements becomes smaller than the used computatio…

math.NA2023★ 7 cited

Matrix-free GPU-accelerated saddle-point solvers for high-order problems in

Will Pazner, Tzanio Kolev, Panayot Vassilevski

This work describes the development of matrix-free GPU-accelerated solvers for high-order finite element problems in . The solvers are applicable to grad-div and D…

math.NA2023★ 8 cited

The Hellan-Herrmann-Johnson and TDNNS method for linear and nonlinear shells

Michael Neunteufel, Joachim Schöberl

In this paper we extend the recently introduced mixed Hellan-Herrmann-Johnson (HHJ) method for nonlinear Koiter shells to nonlinear Naghdi shells by means of a hierarchical approac…

math.NA2022★ 8 cited

Analysis of curvature approximations via covariant curl and incompatibility for Regge metrics

Jay Gopalakrishnan, Michael Neunteufel, Joachim Schöberl +1

The metric tensor of a Riemannian manifold can be approximated using Regge finite elements and such approximations can be used to compute approximations to the Gauss curvature and…