Adaptive grid refinement for a model of two confined and interacting atoms

DOI10.1016/j.apnum.2004.08.034zbMath1062.65119OpenAlexW1983404672MaRDI QIDQ1765349

William F. Mitchell, Eite Tiesinga

Publication date: 23 February 2005

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2004.08.034

zbMATH Keywords

numerical exampleseigenfunctionsQuantum computingSchrödinger's equationAdaptive grid refinementElliptic eigenvalue problem

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (1)

A collection of 2D elliptic problems for testing adaptive grid refinement algorithms

Uses Software

• MUMPS
• ARPACK
• PHAML
• P - ARPACK

Cites Work

• A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
• Adaptive refinement for arbitrary finite-element spaces with hierarchical bases
• Multifrontal parallel distributed symmetric and unsymmetric solvers
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• ARPACK Users' Guide
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