A GPU parallelized spectral method for elliptic equations in rectangular domains

DOI10.1016/j.jcp.2013.05.031zbMath1349.65641OpenAlexW2081938939MaRDI QIDQ340929

Jie Shen, Feng Chen

Publication date: 15 November 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.05.031

zbMATH Keywords

diagonalizationelliptic equationCUDAGPUspectral-collocation method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Packaged methods for numerical algorithms (65Y15)

Related Items

An efficient wavefront parallel algorithm for structured three dimensional LU-SGS, Computational challenge of fractional differential equations and the potential solutions: a survey, A new framework of GPU-accelerated spectral solvers: collocation and Galerkin methods for systems of coupled elliptic equations

Uses Software

• CUDA

Cites Work

• Unnamed Item
• Efficient spectral and pseudospectral algorithms for 3D simulations of whistler-mode waves in a plasma
• Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
• Nodal discontinuous Galerkin methods on graphics processors
• Chebyshev 3-D spectral and 2-D pseudospectral solvers for the Helmholtz equation
• Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method
• Fast multipole methods on graphics processors
• A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
• Accelerating the Fourier split operator method via graphics processing units
• An overview of projection methods for incompressible flows
• Direct solution of partial difference equations by tensor product methods
• High-order finite-element seismic wave propagation modeling with MPI on a large GPU cluster
• Spectral Methods
• A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
• Finite Element Integration on GPUs
• The Spectrum of the Chebyshev Collocation Operator for the Heat Equation
• GPU-accelerated boundary element method for Helmholtz' equation in three dimensions
• Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
• Efficient Spectral-Galerkin Method II. Direct Solvers of Second- and Fourth-Order Equations Using Chebyshev Polynomials