Unconditionally convergence and superconvergence error analysis of a mass- and energy-conserved finite element method for the Schrödinger-Poisson equation
DOI10.1007/s40314-024-02822-3MaRDI QIDQ6576412
Publication date: 22 July 2024
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Schrödinger-Poisson equationmass- and energy-conserved FEMunconditionally optimal and superconvergent error estimates
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discrete Schrödinger-Poisson systems preserving energy and mass
- Superconvergence error estimate of Galerkin method for Sobolev equation with Burgers' type nonlinearity
- A mass- and energy-conserved DG method for the Schrödinger-Poisson equation
- Superconvergence analysis of anisotropic linear triangular finite element for nonlinear Schrödinger equation
- On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Convergence of a Strang splitting finite element discretization for the Schrödinger–Poisson equation
- Galerkin Finite Element Methods for Parabolic Problems
- Error Estimates for Galerkin Approximations to the Periodic Schrödinger‐Poisson System
- A novel, structure-preserving, second-order-in-time relaxation scheme for Schrödinger-Poisson systems
This page was built for publication: Unconditionally convergence and superconvergence error analysis of a mass- and energy-conserved finite element method for the Schrödinger-Poisson equation