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Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws

International Journal for Numerical Methods in Engineering, Volume 127, Issue 6, 30 March 2026.
ABSTRACT Homogenization methods simulate heterogeneous materials like composites effectively, but high computational demands can offset their benefits. This work balances accuracy and efficiency by assessing model and discretization errors of the finite element method (FEM) through an adaptive numerical scheme.
Arnold Tchomgue Simeu, Ismail Caylak, Richard Ostwald   +2 more
wiley   +1 more source

Algebraic Multigrid Based Preconditioning Approaches for Generalized Continuum Models and Indirect Displacement Control Techniques

International Journal for Numerical Methods in Engineering, Volume 127, Issue 6, 30 March 2026.
ABSTRACT The contribution deals with algebraic multigrid (AMG) based preconditioning methods for the iterative solution of a coupled linear system of equations arising in numerical simulations of failure of quasi‐brittle materials using generalized continuum approaches.
Nasser Alkmim, Peter Gamnitzer, Alexander Dummer, Matthias Neuner, Günter Hofstetter   +4 more
wiley   +1 more source

On von Neumann regular rings. V

On von Neumann regular rings. V
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On von neumann regular rings

Communications in Algebra, 2000
(2000). On von neumann regular rings. Communications in Algebra: Vol. 28, No. 2, pp. 791-801.
Chan Yong Hong, Jin Yong Kim, Nam Kyun Kim   +2 more
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Multipliers of von neumann regular rings

Communications in Algebra, 2000
We analyse the structure of the multiplier ring M(R) of a(nonuni-tal)Von Neumann regular ring R. We show that M(R) is not regular in general, but every principal right ideal is generated by two idempotents. This, together with Riesz Decomposition on idempotents of M(R), furnishes a description of the monoid V(M(R)) of Murray-Von Neumann equivalence ...
Pere Ara, Francesc Perera
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Characterizing von Neumann Regular Rings in Reverse Mathematics

Notre Dame Journal of Formal Logic, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Von Neumann Regular Rings Satisfying Weak Comparability

Applied Categorical Structures, 2007
For modules \(X\) and \(Y\) over a ring \(R\), write \(X\lesssim Y\) (resp. \(X\prec Y\)) in case \(X\) is isomorphic to a submodule (resp. proper submodule) of \(Y\). A regular ring \(R\) `satisfies weak comparability' if for each nonzero \(x\in R\) there is a positive integer \(n=n(x)\) such that \(n(yR)\lesssim R\) implies \(yR\lesssim xR\) for all \
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On von Neumann regular elements in f-rings

Algebra universalis, 2017
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Azouzi, Youssef, Ben Amor, Mohamed Amine
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Larders from Von Neumann Regular Rings

2011
The assignment that sends a regular ring R to its lattice of all principal right ideals can be naturally extended to a functor, denoted by L (cf. Sect. 1.1.2). An earlier occurrence of a condensate-like construction is provided by the proof in Wehrung (J. Math. Log. 6(1):1–24, 2006, Theo- rem 9.3).
Pierre Gillibert, Friedrich Wehrung
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Von Neumann regular graphs associated with rings

Discrete Mathematics, Algorithms and Applications, 2018
Let [Formula: see text] be a ring with nonzero identity. By the Von Neumann regular graph of [Formula: see text], we mean the graph that its vertices are all elements of [Formula: see text] such that there is an edge between vertices [Formula: see text] if and only if [Formula: see text] is a Von Neumann regular element of [Formula: see text], denoted
Taloukolaei, Ali Jafari, Sahebi, Shervin
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