Theoretical and computational analysis of a nonlinear Schrödinger problem with moving boundary
DOI10.1007/s10444-018-9643-3zbMath1415.65226OpenAlexW2901142226MaRDI QIDQ2000509
M. A. Rincon, Maria Darci G. da Silva, Gladson O. Antunes, Daniele C. R. Gomes
Publication date: 28 June 2019
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-018-9643-3
Newton's methodnoncylindrical domainexistence and uniquenessnumerical simulationnonlinear Schrödinger problem
Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Moving boundary problems for PDEs (35R37)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniform point-wise error estimates of semi-implicit compact finite difference methods for the nonlinear Schrödinger equation perturbed by wave operator
- Convergence rates for dispersive approximation schemes to nonlinear Schrödinger equations
- Analysis of finite element method for one-dimensional time-dependent Schrödinger equation on unbounded domain
- Error analysis of thermal equation with moving ends
- Beam equation with weak-internal damping in domain with moving boundary.
- Effect of moving boundaries on the vibrating elastic string.
- Finite element schemes for a class of nonlocal parabolic systems with moving boundaries
- The damped wave equation in a moving domain
- Sur \(\square u+u^3=f\) dans un domaine noncylindrique
- Galerkin Finite Element Methods for Parabolic Problems
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
