Investigation of Solution Accuracy in PFEM Simulations Using Benchmark Problems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT The simulation of large topological changes, such as those occurring in Cone Penetration Testing (CPT) and vibratory pile driving, remains a major challenge in computational geomechanics. Excessive mesh distortions render classical approaches like the Finite Element Method (FEM) unsuitable, emphasizing the need for alternative methodologies ...
Antaeus Bettmann +4 more
wiley +1 more source
Stabilized Finite Elements for Incompressible, Stationary Navier–Stokes Flows on Manifolds
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT A surface finite element method with residual‐based stabilization for stationary Navier–Stokes flows on curved manifolds is introduced. The mixed formulation in stress‐divergence form leads to a system of equations that has a saddle‐point structure.
Michael Wolfgang Kaiser +1 more
wiley +1 more source
Studying the Hemibond: High-Level <i>Ab Initio</i> Calculations on Complexes of Atomic Fluorine with Halogenated Organic Molecules. [PDF]
J Phys Chem ABucher G.
europepmc +1 more source
Distributed Optimization of Finite Condition Number for Laplacian Matrix in Multi‐Agent Systems
International Journal of Robust and Nonlinear Control, Volume 36, Issue 9, Page 5030-5043, June 2026.ABSTRACT This paper addresses the distributed optimization of the finite condition number of the Laplacian matrix in multi‐agent systems. The finite condition number, defined as the ratio of the largest to the second smallest eigenvalue of the Laplacian matrix, plays an important role in determining the convergence rate and performance of consensus ...
Yicheng Xu, Faryar Jabbari
wiley +1 more source
Diversity patterns in terrestrial tetrapod clades are governed by equilibrium dynamics. [PDF]
PLoS BiolCerezer FO +5 more
europepmc +1 more source
Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 7975-8005, 30 May 2026.ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
wiley +1 more source
How to evaluate aromaticity under pressure? Benzene as a benchmark system. [PDF]
Chem SciEeckhoudt J +6 more
europepmc +1 more source
Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 8044-8060, 30 May 2026.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source
Crystallisation of 1,2-dimethylimidazole, and 1-methylimidazole with organic acids. [PDF]
Sci RepWaleed HQ +5 more
europepmc +1 more source
Efficient Deconvolution in Populational Inverse Problems
International Journal for Numerical Methods in Engineering, Volume 127, Issue 9, 15 May 2026.ABSTRACT This work is focused on the inversion task of inferring the distribution over parameters of interest, leading to multiple sets of observations. The potential to solve such distributional inversion problems is driven by the increasing availability of data, but a major roadblock is blind deconvolution, arising when the observational noise ...
Arnaud Vadeboncoeur +2 more
wiley +1 more source