High-order methods and numerical boundary conditions

DOI10.1016/j.cma.2007.04.015zbMath1173.76378OpenAlexW2171478188MaRDI QIDQ1033327

Ercília Sousa

Publication date: 6 November 2009

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/4599

zbMATH Keywords

boundary conditionsconvection-diffusionhigh-order finite differences

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Diffusion and convection (76R99)

Related Items (4)

Optimal solutions of numerical interface conditions in fluid-structure thermal analysis ⋮ An explicit high order method for fractional advection diffusion equations ⋮ Numerical Solution of Partial Differential Equations in Arbitrary Shaped Domains Using Cartesian Cut-Stencil Finite Difference Method. Part II: Higher-Order Schemes ⋮ Application of the \(\varTheta\)-method to a telegraphic model of fluid flow in a dual-porosity medium

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite difference schemes for three-dimensional time-dependent convection-diffusion equation using full global discretization
• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• High resolution schemes for hyperbolic conservation laws
• A stable and accurate convective modelling procedure based on quadratic upstream interpolation
• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• Efficient implementation of high-order methods for the advection-diffusion equation
• On the influence of numerical boundary conditions
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• Discretization of a convection-diffusion equation
• Finite element methods for second order differential equations with significant first derivatives
• An ‘upwind’ finite element scheme for two‐dimensional convective transport equation
• High-Order Methods for Incompressible Fluid Flow
• Difference schemes for hyperbolic equations with high order of accuracy

This page was built for publication: High-order methods and numerical boundary conditions