Hybrid spectral difference methods for an elliptic equation

DOI10.1515/cmam-2016-0043zbMath1359.65257OpenAlexW2576282173MaRDI QIDQ521654

Youngmok Jeon, Dong-wook Shin, Eun-Jae Park

Publication date: 11 April 2017

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2016-0043

zbMATH Keywords

mass conservationspectral differencecell finite differencehybrid spectral differenceinterface finite difference

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (11)

An immersed hybrid difference method for the elliptic interface equation ⋮ Hybrid spectral difference methods for elliptic equations on exterior domains with the discrete radial absorbing boundary condition ⋮ The upwind hybrid difference methods for a convection diffusion equation ⋮ Numerical analysis of interface hybrid difference methods for elliptic interface equations ⋮ The Crank-Nicolson hybrid difference method for the time wave equation on exterior domains with the discrete radial absorbing boundary condition ⋮ Upwind Hybrid Spectral Difference Methods for Steady-State Navier–Stokes Equations ⋮ A novel hybrid difference method for an elliptic equation ⋮ Unnamed Item ⋮ A LOCAL CONSERVATIVE MULTISCALE METHOD FOR ELLIPTIC PROBLEMS WITH OSCILLATING COEFFICIENTS ⋮ Immersed hybrid difference methods for elliptic boundary value problems by artificial interface conditions ⋮ The Immersed Interface Hybridized Difference Method for Parabolic Interface Problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A stable high-order spectral difference method for hyperbolic conservation laws on triangular elements
• An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators
• Hybrid difference methods for PDEs
• A proof of the stability of the spectral difference method for all orders of accuracy
• A new spectral difference method using hierarchical polynomial bases for hyperbolic conservation laws
• Spectral and high order methods for partial differential equations, ICOSAHOM 2014. Selected papers from the ICOSAHOM conference, June 23--27, 2014, Salt Lake City, UT, USA
• A high-order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach
• Sixth order compact scheme combined with multigrid method and extrapolation technique for 2D Poisson equation
• Compact finite difference schemes with spectral-like resolution
• Spectral (finite) volume method for conservation laws on unstructured grids. Basic formulation
• A hybrid high-order locking-free method for linear elasticity on general meshes
• New locally conservative finite element methods on a rectangular mesh
• Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number
• A hybridized finite element method for the Stokes problem
• A locking-free locally conservative hybridized scheme for elasticity problems
• Spectral (finite) volume method for conservation laws on unstructured grids. VI: Extension to viscous flow
• Spectral difference method for unstructured grids. I. Basic formulation
• Computational Methods for Fluid Dynamics
• Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods
• A Hybrid Discontinuous Galerkin Method for Elliptic Problems
• Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
• Finite Volume Methods for Hyperbolic Problems
• Upwind Hybrid Spectral Difference Methods for Steady-State Navier–Stokes Equations
• High‐order CFD methods: current status and perspective

This page was built for publication: Hybrid spectral difference methods for an elliptic equation