A Hermitian box-scheme for one-dimensional elliptic equations -- application to problems with high contrasts in the ellipticity

DOI10.1007/s00607-006-0181-3zbMath1348.65149OpenAlexW2100876006MaRDI QIDQ858182

Jean-Pierre Croisille

Publication date: 8 January 2007

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-006-0181-3

zbMATH Keywords

collocation methodfinite volume methodelliptic problemsporous media equationmixed methodhigh-order compact schemebox-schemeMehrstellenverfahrenhermitian schemeKeller box-scheme

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite volume methods applied to problems in solid mechanics (74S10) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (2)

A fourth order Hermitian box-scheme with fast solver for the Poisson problem in a square ⋮ A fourth‐order Hermitian box‐scheme with fast solver for the Poisson problem in a cube

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Single cell discretizations of order two and four for biharmonic problems
• Finite difference methods on irregular networks. A generalized approach to second order elliptic problems. (Licensed ed.)
• On first and second order box schemes
• Compact finite difference schemes with spectral-like resolution
• Keller's box-scheme for the one-dimensional stationary convection-diffusion equation
• A pure-compact scheme for the streamfunction formulation of Navier-Stokes equations
• Finite elements for elliptic problems with wild coefficients
• Generalized Inf-Sup Conditions for Chebyshev Spectral Approximation of the Stokes Problem
• Existence, Uniqueness and Approximation for Generalized Saddle Point Problems
• Fast Direct Solvers for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations
• Mixed Covolume Methods for Elliptic Problems on Triangular Grids
• Finite Element Discretizations of Elliptic Problems in the Presence of Arbitrarily Small Ellipticity: An Error Analysis
• Finite Volume Box Schemes and Mixed Methods
• Some nonconforming mixed box schemes for elliptic problems
• A numerical upscaling method for an elliptic equation with heterogeneous tensorial coefficients
• Convergence of a Compact Scheme for the Pure Streamfunction Formulation of the Unsteady Navier–Stokes System

This page was built for publication: A Hermitian box-scheme for one-dimensional elliptic equations -- application to problems with high contrasts in the ellipticity