The deal. II library, version 9.2
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The deal. II finite element library: Design, features, and insights
Abstract deal. II is a state-of-the-art finite element library focused on generality, dimension-
independent programming, parallelism, and extensibility. Herein, we outline its primary …
independent programming, parallelism, and extensibility. Herein, we outline its primary …
The deal. II library, version 9.4
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The deal. II library, version 9.0
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The deal. II library, version 9.3
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The p-and hp-versions of the virtual element method for elliptic eigenvalue problems
We discuss the p-and h p-versions of the virtual element method for the approximation of
eigenpairs of elliptic operators with a potential term on polygonal meshes. An application of …
eigenpairs of elliptic operators with a potential term on polygonal meshes. An application of …
Orbital-enriched flat-top partition of unity method for the Schrödinger eigenproblem
C Albrecht, C Klaar, JE Pask, MA Schweitzer… - Computer Methods in …, 2018 - Elsevier
Quantum mechanical calculations require the repeated solution of a Schrödinger equation
for the wavefunctions of the system, from which materials properties follow. Recent work has …
for the wavefunctions of the system, from which materials properties follow. Recent work has …
Application of the generalized finite-element method to the acoustic wave simulation in exploration seismology
The generalized finite-element method (GFEM) has been applied frequently to solve
harmonic wave equations, but its use in the simulation of transient wave propagation is still …
harmonic wave equations, but its use in the simulation of transient wave propagation is still …
The Partition of Unity Finite Element Method for the Schrödinger Equation
D Boffi, O Certik, F Gardini, G Manzini - Computational Methods in …, 2024 - degruyter.com
A Schrödinger equation for the system's wavefunctions in a parallelepiped unit cell subject
to Bloch-periodic boundary conditions must be solved repeatedly in quantum mechanical …
to Bloch-periodic boundary conditions must be solved repeatedly in quantum mechanical …
Algorithms and data structures for matrix-free finite element operators with MPI-parallel sparse multi-vectors
D Davydov, M Kronbichler - ACM Transactions on Parallel Computing …, 2020 - dl.acm.org
Traditional solution approaches for problems in quantum mechanics scale as O (M 3), where
M is the number of electrons. Various methods have been proposed to address this issue …
M is the number of electrons. Various methods have been proposed to address this issue …