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MOC
2000
71views more  MOC 2000»
13 years 11 months ago
Zeroes of Dirichlet L-functions and irregularities in the distribution of primes
Seven widely spaced regions of integers with 4,3(x) < 4,1(x) have been discovered using conventional prime sieves. Assuming the generalized Riemann hypothesis, we modify a resul...
Carter Bays, Richard H. Hudson
MOC
2000
62views more  MOC 2000»
13 years 11 months ago
Uzawa type algorithms for nonsymmetric saddle point problems
In this paper, we consider iterative algorithms of Uzawa type for solving linear nonsymmetric saddle point problems. Specifically, we consider systems, written as usual in block fo...
James H. Bramble, Joseph E. Pasciak, Apostol T. Va...
MOC
2000
79views more  MOC 2000»
13 years 11 months ago
Computational scales of Sobolev norms with application to preconditioning
Abstract. This paper provides a framework for developing computationally efficient multilevel preconditioners and representations for Sobolev norms. Specifically, given a Hilbert s...
James H. Bramble, Joseph E. Pasciak, Panayot Vassi...
MOC
2000
103views more  MOC 2000»
13 years 11 months ago
An additive Schwarz method for variational inequalities
This paper proposes an additive Schwarz method for variational inequalities and their approximations by finite element methods. The Schwarz domain decomposition method is proved to...
Lori Badea, Junping Wang
MOC
2000
127views more  MOC 2000»
13 years 11 months ago
Can a finite element method perform arbitrarily badly?
In this paper we construct elliptic boundary value problems whose standard finite element approximations converge arbitrarily slowly in the energy norm, and show that adaptive proc...
Ivo Babuska, John E. Osborn
MOC
2000
83views more  MOC 2000»
13 years 11 months ago
On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form
In the approximation of linear elliptic operators in mixed form, it is well known that the so-called inf-sup and ellipticity in the kernel properties are sufficient (and, in a sens...
Daniele Boffi, Franco Brezzi, Lucia Gastaldi
MOC
2000
96views more  MOC 2000»
13 years 11 months ago
Galerkin eigenvector approximations
How close are Galerkin eigenvectors to the best approximation available out of the trial subspace? Under a variety of conditions the Galerkin method gives an approximate eigenvecto...
Christopher Beattie
MOC
2000
82views more  MOC 2000»
13 years 11 months ago
A Lanczos-type method for multiple starting vectors
José Ignacio Aliaga, D. L. Boley, Roland W....