A class of implicit upwind schemes for euler simulations with unstructured meshes
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Fezoui, Loula, Stoufflet, Bruno
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ABSTRACT We develop and analyze a fully discrete finite difference approximation for a damped shear beam model with mixed boundary conditions and no rotational inertia. The absence of a second‐order time derivative in the rotational equation gives rise to an asymmetric temporal structure.
Anderson de Jesus Araújo Ramos +3 more
wiley +1 more source
A Finite-Difference Summation-by-Parts Conditionally Stable Partitioned Algorithm for Conjugate Heat Transfer Problems. [PDF]
Nataj S +3 more
europepmc +1 more source
A Phase‐Field Model for Quasi‐Dynamic Rupture Nucleation and Propagation of In‐Plane Faults
ABSTRACT Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase‐field method has recently enabled unified modeling of fault propagation and off‐fault damage within a fracture‐mechanics‐based framework ...
Fan Fei +3 more
wiley +1 more source
MAT-DiSMech: A Discrete Differential Geometry-Based Computational Tool for Simulation of Rods, Shells, and Soft Robots. [PDF]
Lahoti R, Khalid Jawed M.
europepmc +1 more source
Computational Analysis of the Vibrational Response of Lunar Regolith Made of Nonspherical Grains
ABSTRACT Vibration‐based systems have shown that appropriately oriented and tuned mechanical oscillations can disrupt regolith interlocking and promote flow. Building on this evidence, the present study investigates vibration‐controlled granular discharge as a potential ISRU (In Situ Resource Utilization) strategy, with the aim of supporting ...
Lewis Traquair +4 more
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Linearly Implicit Finite Element Methods Approximating the Solution to the Nonlinear Schrödinger Equation with a Schamel-Type Nonlinearity. [PDF]
Paraschis P, Zouraris GE.
europepmc +1 more source
ABSTRACT Rate‐independent single crystal plasticity requires robust solution methods due to the non‐uniqueness of slip system activity. The interior point method, which enforces the yield criterion via slack variables and a so‐called barrier term, has proven both robust and computationally efficient for this class of problems and has been applied to ...
Felix Steinmetz, Lisa Scheunemann
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Convergence Analysis of Iterative Deep Learning Algorithms for Fully Nonlinear BSPDEs in Non-Markovian Utility Maximization. [PDF]
Ma J, Wu H, Zheng HH.
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The Long Shadow of Karl Weierstraß Over the Calculus of Variations
ABSTRACT At first glance, it appears that the contents of Karl Weierstraß's (1815–1897) lecture courses on the calculus of variations were made available to the public only in the seventh volume of his Mathematische Werke, and thus not until 30 years after his death.
Peter Ullrich
wiley +1 more source

