𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the superlinear convergence of PCG algorithms: Numerical experiments for convection-diffusion equations

✍ Scribed by Tamás Kurics

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
266 KB
Volume
55
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

The CGM is studied for nonsymmetric elliptic problems with both Dirichlet and mixed boundary conditions. The mesh independence of the convergence is an important property when symmetric part preconditioning is applied to the FEM discretizations of the boundary value problem. Computations in two dimensions are presented to illustrate the mesh independent superlinear convergence for convection-diffusion equations with both types of boundary conditions. Preconditioning by the leading term plus a zeroth-order term is also investigated in the aspect of superlinear convergence through numerical computations.

📜 SIMILAR VOLUMES

On the convergence of basic iterative me
On the convergence of basic iterative methods for convection–diffusion equations
✍ Jürgen Bey; Arnold Reusken 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB 👁 2 views

In this paper we analyze convergence of basic iterative Jacobi and Gauss-Seidel type methods for solving linear systems which result from finite element or finite volume discretization of convection-diffusion equations on unstructured meshes. In general the resulting stiffness matrices are neither M

A note on the numerical stability of the
A note on the numerical stability of the convection-diffusion equation
✍ Sedat Biringen 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 294 KB

Stability problems related to some finite-difference representations of the one-dimensional convection-diffusion equation are investigated. Numerical experiments are performed to test the applicability of the restrictive conditions of linear stability as well as to test the effect of an additional b

Convergence of high-order deterministic
Convergence of high-order deterministic particle methods for the convection-diffusion equation
✍ Ricardo Cortez 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 286 KB 👁 2 views

A proof of high-order convergence of three deterministic particle methods for the convectiondiffusion equation in two dimensions is presented. The methods are based on discretizations of an integro-differential equation in which an integral operator approximates the diffusion operator. The methods d