Domain decomposition algorithms for two dimensional linear Schrödinger equation
From MaRDI portal
Publication:1676922
DOI10.1007/s10915-017-0375-1zbMath1457.65088arXiv1506.05639OpenAlexW2963511128MaRDI QIDQ1676922
Publication date: 10 November 2017
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.05639
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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Uses Software
Cites Work
- Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations
- A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell's equations
- Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. II: Discretization and numerical results
- A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation
- Schwarz waveform relaxation method for one-dimensional Schrödinger equation with general potential
- Schwarz methods over the course of time
- Domain decomposition method and high-order absorbing boundary conditions for the numerical simulation of the time dependent Schrödinger equation with ionization and recombination by intense electric field
- GetDDM: an open framework for testing optimized Schwarz methods for time-harmonic wave problems
- Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations
- Nonlinear nonoverlapping Schwarz waveform relaxation for semilinear wave propagation
- OPTIMIZED AND QUASI-OPTIMAL SCHWARZ WAVEFORM RELAXATION FOR THE ONE-DIMENSIONAL SCHRÖDINGER EQUATION
- A Coarse Space Construction Based on Local Dirichlet-to-Neumann Maps
- ABSORBING BOUNDARY CONDITIONS FOR THE TWO-DIMENSIONAL SCHRÖDINGER EQUATION WITH AN EXTERIOR POTENTIAL PART I: CONSTRUCTION AND A PRIORI ESTIMATES
- Optimized Schwarz Methods for Maxwell's Equations
- Multiplicative Schwarz Methods for Parabolic Problems
- Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation
- FACTORIZATION OF THE CONVECTION-DIFFUSION OPERATOR AND THE SCHWARZ ALGORITHM
- Any Nonincreasing Convergence Curve is Possible for GMRES
- Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
- Space-Time Domain Decomposition Methods for Diffusion Problems in Mixed Formulations
- A Simple and Efficient Numerical Method for Computing the Dynamics of Rotating Bose--Einstein Condensates via Rotating Lagrangian Coordinates
- Optimized Schwarz Methods
- An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions
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