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SIAMNUM
2011
252views more  SIAMNUM 2011»
13 years 6 months ago
Analysis and Computation of Compatible Least-Squares Methods for div-curl Equations
We develop and analyze least-squares finite element methods for two complementary div-curl elliptic boundary value problems. The first one prescribes the tangential component of ...
Pavel B. Bochev, Kara Peterson, Christopher M. Sie...
JSCIC
2011
76views more  JSCIC 2011»
13 years 6 months ago
Two-Level Additive Schwarz Preconditioners for a Weakly Over-Penalized Symmetric Interior Penalty Method
We propose and analyze several two-level additive Schwarz preconditioners for a weakly over-penalized symmetric interior penalty method for second order elliptic boundary value pro...
A. T. Barker, Susanne C. Brenner, E.-H. Park, Li-Y...
MOC
2002
108views more  MOC 2002»
13 years 11 months ago
Convergence of the multigrid $V$-cycle algorithm for second-order boundary value problems without full elliptic regularity
The multigrid V -cycle algorithm using the Richardson relaxation scheme as the smoother is studied in this paper. For second-order elliptic boundary value problems, the contraction...
Susanne C. Brenner
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
NAA
2000
Springer
104views Mathematics» more  NAA 2000»
14 years 3 months ago
A Grid Free Monte Carlo Algorithm for Solving Elliptic Boundary Value Problems
In this work a grid free Monte Carlo algorithm for solving elliptic boundary value problems is investigated. The proposed Monte Carlo approach leads to a random process called a ba...
Todor V. Gurov, Paula A. Whitlock, Ivan Dimov