Fast Fourier solvers for the tensor product high-order FEM for a Poisson type equation
DOI10.1134/S096554252002013XzbMath1452.65366arXiv1701.03967OpenAlexW3017208693MaRDI QIDQ2206483
I. A. Zlotnik, Alexander Zlotnik
Publication date: 22 October 2020
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.03967
Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical solutions to equations with nonlinear operators (65J15) Numerical quadrature and cubature formulas (65D32) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Boundary eigenvalue problems for ordinary differential equations (34B09)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Matrix decomposition algorithms for arbitrary order \(C^0\) tensor product finite element systems
- Matrix decomposition algorithms for elliptic boundary value problems: A survey
- Matrix decomposition algorithms for the \(C^{0}\)-quadratic finite element Galerkin method
- Finite element method with discrete transparent boundary conditions for the time-dependent 1D Schrödinger equation
- An efficient direct parallel spectral-element solver for separable elliptic problems
- A fast direct algorithm for implementing a high-order finite element method on rectangles as applied to boundary value problems for the Poisson equation
- The splitting in potential Crank–Nicolson scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip
- The Methods of Cyclic Reduction, Fourier Analysis and the FACR Algorithm for the Discrete Solution of Poisson’s Equation on a Rectangle
This page was built for publication: Fast Fourier solvers for the tensor product high-order FEM for a Poisson type equation
