In this article, we present an overview of different a posteriori error analysis and post-
processing methods proposed in the context of nonlinear eigenvalue problems, eg arising in …

Bridges occasionally suffer from the vehicle or ship collision accidents, leading to structural
damage and bridge collapse, resulting in severe consequences such as casualties, ship …

To solve the problems of expensive bridge load test cost, traffic congestion influence, and
damage to bridges by load test, the dynamic experimental results based on the inexpensive …

Density functional theory (DFT) provides the most widely used models for simulating
molecules and materials based on the fundamental laws of quantum mechanics. It earned …

In topology optimization, finite element methods are usually required to solve state
equations repeatedly. Considerable computational costs are required for iterative solvers to …

We propose an unconditionally energy-stable, orthonormality-preserving, component-wise
splitting iterative scheme for the Kohn-Sham gradient flow based model in the electronic …

Dai et al.[Multiscale Model. Simul. 18 (2020)] proposed a gradient flow model and a
numerical scheme for ground state calculations in Kohn-Sham density functional theory. It is …

A numerical framework is developed for aspherical atomic Kohn-Sham density functional
theory calculations. The framework invokes higher-order finite elements as a radial …

Kohn–Sham density functional theory is an ab initio framework for electronic structure
calculation that offers a basis for nonphenomenological multiscale approaches. In this work …

Based on density functional theory, the ground state for ultracold Fermi gases with dipole–
dipole interaction is a functional minimization problem with orthonormality constraints. Many …