A monotone finite element method with test space of Legendre polynomials

DOI10.1016/S0045-7825(96)01158-9zbMath0898.76067MaRDI QIDQ1371696

J. Ning

Publication date: 1 November 1998

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

zbMATH Keywords

convection-diffusion problemboundary layerM-matrixmonotonicity-preserving propertysharp gradientsexponential weighting functionsirreducible diagonal-dominated coefficient matrixorthogonal propertyPetrov-Galerkin finite element model

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Diffusion and convection (76R99)

Related Items

A discontinuous enrichment method for variable-coefficient advection-diffusion at high Péclet number ⋮ Development of a high-resolution scheme for a multi-dimensional advection-diffusion equation ⋮ Application of an element-by-element BiCGSTAB iterative solver to a monotonic finite element model ⋮ Variable-order finite elements and positivity preservation for hyperbolic PDEs. ⋮ On an adaptive monotonic convection-diffusion flux discretization scheme ⋮ A higher-order discontinuous enrichment method for the solution of high péclet advection-diffusion problems on unstructured meshes ⋮ Preserving positivity for hyperbolic PDEs using variable-order finite elements with bounded polynomials

Cites Work

• A monotone streamline upwind finite element method for convection- dominated flows
• A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle
• A stable and accurate convective modelling procedure based on quadratic upstream interpolation
• Numerical solution of partial differential equations. Transl. from the German by Peter R. Wadsack
• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• Upstream-weighted differencing schemes and their application to elliptic problems involving fluid flow
• A monotone streamline upwind method for quadratic finite elements
• Treatment of numerical diffusion in strong convective flows
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item