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04/18/2023
An Augmented Subspace Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations
In this paper, we propose an augmented subspace based adaptive proper or...
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05/31/2022
Symmetrized two-scale finite element discretizations for partial differential equations with symmetric solutions
In this paper, a symmetrized two-scale finite element method is proposed...
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04/03/2022
Convergence of the Planewave Approximations for Quantum Incommensurate Systems
Incommensurate structures come from stacking the single layers of low-di...
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01/18/2022
Mathematical Analysis and Numerical Approximations of Density Functional Theory Models for Metallic Systems
In this paper, we investigate the energy minimization model of the ensem...
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11/03/2021
Convergent and orthogonality preserving schemes for approximating the Kohn-Sham orbitals
To obtain convergent numerical approximations without using any orthogon...
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06/02/2021
Convergence and Optimal Complexity of the Adaptive Planewave Method for Eigenvalue Computations
In this paper, we study an adaptive planewave method for multiple eigenv...
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07/15/2019
Gradient Flow Based Discretized Kohn-Sham Density Functional Theory
In this paper, we propose and analyze a gradient flow based Kohn-Sham de...
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07/09/2019
Eigenfunction Behavior and Adaptive Finite Element Approximations of Nonlinear Eigenvalue Problems in Quantum Physics
In this paper, we investigate a class of nonlinear eigenvalue problems r...
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06/24/2019