New uniform estimates for multigrid algorithms are established for certain non-symmetric indefinite problems. In particular, we are concerned with the simple additive algorithm and multigrid (V(1, 0)-cycle) algorithms given in [5]. We prove, without full elliptic regularity assumption, that these al
New convergence estimates for multilevel algorithms for finite-element approximations
β Scribed by Junping Wang
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 713 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
By using a formulation of EHL problems which employs a nonlinear variational inequality and an exterior penalty method, convergence of finite element approximations to the EHL problem is studied. It is shown that the finite element method for the penalized problem is convergent. Then an a priori err
## Abstract This paper studies mixed finite element approximations to the solution of the viscoelasticity wave equation. Two new transformations are introduced and a corresponding system of firstβorder differentialβintegral equations is derived. The semiβdiscrete and fullβdiscrete mixed finite elem
Finite-element approximations for a fourth-order differential equation based on the space of piecewise linear polynomials on the uniform grid are introduced. And error estimates for the approximation are also given.
We present the results of some numerical experiments which were carried out in order to investigate the general characteristics of the algorithm described in Part 1 of this paper.