Eigenfunction behavior and adaptive finite element approximations of nonlinear eigenvalue problems in quantum physics
DOI10.1051/m2an/2020078zbMath1476.35250arXiv1907.03968OpenAlexW3105082274MaRDI QIDQ5006305
Publication date: 13 August 2021
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.03968
complexityconvergencenonlinear eigenvalue problemunique continuation propertyadaptive finite element approximationnon-polynomial behavior
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Error bounds for boundary value problems involving PDEs (65N15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) NLS equations (nonlinear Schrödinger equations) (35Q55) 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)
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