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The generalized stacking fault energy is a key ingredient to mesoscale models of dislocations. Here we develop an approach to quantify the dependence of generalized stacking fault energies on the degree of chemical disorder in…

Materials Science · Physics 2020-01-22 Anirudh Raju Natarajan , Anton Van der Ven

This paper presents an adaptive multi-model framework for jointly estimating spacecraft attitude and star-tracker misalignments in GPS-denied deep-space CubeSat missions. A Multiplicative Extended Kalman Filter (MEKF) estimates attitude,…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Ridma Ganganath , Simone Servadio , David Daeyoung Lee

We propose a new approach to predict the modulation of wavepackets in shock-containing jets. With a modelled ideally expanded mean flow as input, an approximation of the shock-cell structure is obtained from the parabolised stability…

For the two-layer shallow water equations, a high-order compact gas-kinetic scheme (GKS) on triangular mesh is proposed. The two-layer shallow water equations have complex source terms in comparison with the single layer equations. The main…

Numerical Analysis · Mathematics 2023-06-08 Fengxiang Zhao , Jianping Gan , Kun Xu

Stacking fault energy (SFE) plays an important role in deformation mechanisms and mechanical properties of face-centered cubic (fcc) metals and alloys. In metastable fcc alloys, the SFEs determined from density functional theory (DFT)…

Preconditioning techniques are crucial for enhancing the efficiency of solving large-scale linear equation systems that arise from partial differential equation (PDE) discretization. These techniques, such as Incomplete Cholesky…

Machine Learning · Computer Science 2024-12-11 Rui Li , Song Wang , Chen Wang

This paper presents a robust and efficient very high-order scheme for compressible flow simulation, addressing critical limitations of existing high-order methods. The proposed scheme combines the compact gas-kinetic scheme (CGKS) with an…

Computational Physics · Physics 2025-09-04 Junlei Mu , Hong Zhang , Xing Ji , Yang Zhang , Gang Chen , Kun Xu

We introduce a mixed density fitting scheme that uses both a Gaussian and a plane-wave fitting basis to accurately evaluate electron repulsion integrals in crystalline systems. We use this scheme to enable efficient all-electron Gaussian…

Chemical Physics · Physics 2017-11-22 Qiming Sun , Timothy C. Berkelbach , James D. McClain , Garnet Kin-Lic Chan

The mathematical formulation of sign-changing problems involves a linear second-order partial differential equation in the divergence form, where the coefficient can assume positive and negative values in different subdomains. These…

Numerical Analysis · Mathematics 2026-05-19 Eric T. Chung , Patrick Ciarlet , Xingguang Jin , Changqing Ye

In this paper, we propose oversampling strategies in the Generalized Multiscale Finite Element Method (GMsFEM) framework. The GMsFEM, which has been recently introduced in [12], allows solving multiscale parameter-dependent problems at a…

Analysis of PDEs · Mathematics 2013-04-18 Yalchin Efendiev , Juan Galvis , Guanglian Li , Michael Presho

We consider the preconditioned conjugate gradient method (PCG) with optimal preconditioner in the frame of the boundary element method (BEM) for elliptic first-kind integral equations. Our adaptive algorithm steers the termination of PCG as…

Numerical Analysis · Mathematics 2019-03-21 Thomas Führer , Alexander Haberl , Dirk Praetorius , Stefan Schimanko

A systematic expression quantifying the wave energy skewing phenomenon as a function of the mechanical characteristics of a non-isotropic structure is derived in this study. A structure of arbitrary anisotropy, layering and geometric…

Applied Physics · Physics 2017-06-30 D. Chronopoulos

In this paper, we derive an a-posteriori error indicator for the Generalized Multiscale Finite Element Method (GMsFEM) framework. This error indicator is further used to develop an adaptive enrichment algorithm for the linear elliptic…

Numerical Analysis · Mathematics 2015-06-17 Eric T. Chung , Yalchin Efendiev , Guanliang Li

Switching Kalman Filters (SKF) are well known for their ability to solve the piecewise linear dynamic system estimation problem using the standard Kalman Filter (KF). Practical SKFs are heuristic, approximate filters that are not guaranteed…

Signal Processing · Electrical Eng. & Systems 2022-01-31 Parisa Karimi , Zhizhen Zhao , Mark Butala , Farzad Kamalabadi

Understanding strongly correlated systems is essential for advancing quantum chemistry and materials science, yet conventional methods like Density Functional Theory (DFT) often fail to capture their complex electronic behavior. To address…

Chemical Physics · Physics 2025-09-01 Archith Rayabharam , N. R. Aluru

Supercell models are often used to calculate the electronic structure of local perturbations from the ideal periodicity in the bulk or on the surface of a crystal or in wires. When the defect or adsorbent is charged, a jellium counter…

Accurate and computationally light algorithms for estimating the State of Charge (SoC) of a battery's cells are crucial for effective battery management on embedded systems. In this letter, we propose an Adaptive Extended Kalman Filter…

Systems and Control · Electrical Eng. & Systems 2025-04-09 António Barros , Edoardo Peretti , Davide Fabroni , Diego Carrera , Pasqualina Fragneto , Giacomo Boracchi

Spectrum cartography reconstructs spatial radio fields from sparse and heterogeneous wireless measurements, underpinning many sensing and optimization tasks in wireless networks. Attention mechanisms have recently enabled adaptive…

Optimization and Control · Mathematics 2026-04-29 Liping Tao , Chee Wei Tan

Two weighted selection combining (WSC) schemes are proposed for a differential decode-and-forward relaying system in Rayleigh fading channels. Compared to the conventional selection combining scheme, the decision variable of the relay link…

Information Theory · Computer Science 2017-08-02 Yi Lou , Qiyue Yu , Julian Cheng , Honglin Zhao

This paper proposes a new method to provide the exponential convergence of both the parameter and tracking errors of the composite adaptive control system without the persistent excitation (PE) requirement. Instead, the derived composite…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Anton Glushchenko , Vladislav Petrov , Konstantin Lastochkin
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