Multigrid convergence for
second order elliptic problems with
smooth
complex coefficients
by J. Gopalakrishnan and J.E. Pasciak
Multigrid convergence for
second order elliptic problems with
smooth
complex coefficients
by J. Gopalakrishnan and J.E. Pasciak
Abstract.
PDF.
Exact de Rham sequences of spaces defined on macro-elements in two
and three spatial dimensions.
by J. E. Pasciak and P. S. Vassilevski
Abstract.
PDF.
A note on
the existence and uniqueness of solutions of frequency domain
elastic wave problems:
Abstract.
PDF.
The computation of resonances in open systems
using a perfectly matched layer.
by S. Kim and J.E. Pasciak
Abstract.
PDF.
Stability of
discrete Stokes operators in fractional Sobolev spaces
by J.-L. Guermond and J.E. Pasciak
Abstract.
PDF.
(to appear) J. Math. Fluid Mech.
A Mixed Method for Axisymmetric Div-curl
Systems by D.M. Copeland, J. Gopalakrishnan and J.E. Pasciak
Abstract.
PDF.
(to appear) Math. Comp.
Analysis of a finite element PML
approximation for the three dimensional time-harmonic Maxwell
problem
by
J.H. Bramble and J.E. Pasciak
Abstract.
PDF.
(to appear) Math. Comp.
H(curl) auxiliary mesh preconditioning
by
T.V. Kolev, J.E. Pasciak, and P.S. Vassilevski
Abstract.
PDF.
Num. Linear Alg. App.
(Electronic) DOI:10.1002/nla.534.
Analysis of a finite PML
approximation for the three dimensional time-harmonic Maxwell and
acoustic scattering
problems
by J.H. Bramble and J.E. Pasciak
Abstract.
PDF.
Math. Comp. 77
(2007) 597-614.
A multigrid preconditioner for the mixed formulation of linear plane elasticity
by J.E. Pasciak and Y. Wang
Abstract.
PDF.
SIAM J. Numer. Anal.
44 (2006) 478-493.
The convergence of V-cycle multigrid
algorithms
for axisymmetric Laplace and Maxwell equations by J. Gopalakrishnan and
J.E. Pasciak
Abstract.
PDF.
Math. Comp.
75 (2006) 1607-1719.
Mesh independent convergence of the modified inexact Newton method for
a second order nonlinear problem
by T. Kim, J.E. Pasciak and P.D. Vassilevski
Abstract.
PDF.
Num. Linear Algebra Appl.
13 ,(2006) pp.23-47.
A Least-Squares Method for Axisymmetric
Div-curl Systems
by
D.M. Copeland and J.E. Pasciak
Abstract.
PDF.
Numerical Linear Algebra with Applications
13 ,(2006) pp.733-752.
A least-squares method for the time-harmonic Maxwell equations
by J.H. Bramble, T.V. Kolev and J.E. Pasciak
Abstract.
PDF.
J. Numer. Math.
13 ,(2005) pp.237-263.
The approximation of the Maxwell eigenvalue problem using a
least-squares method
by J.H. Bramble, T.V. Kolev and J.E. Pasciak
Abstract.
PDF.
Math. Comp.
74 (2005), no. 252, 1575--1598 (electronic).
A new approximation technique for div-curl systems
by J.H. Bramble and J.E. Pasciak.
Abstract.
PDF.
Math. Comp. 73 2004,
1729-1762.
Analysis of a multigrid algorithm for time harmonic Maxwell equations, by
L. Demkowicz, J. Gopalakrishnan and J.E. Pasciak.
Abstract.
PDF.
SIAM J. Numer. Anal.
42
2004,
(Electronically posted:
to appear) 42 2005, 90-108.
Almost optimal interior penalty discontinuous approximations of symmetric
elliptic problems on non-matching grids,
by R.D. Lazarov, J.E. Pasciak, J. Schoberl, and P.S. Vassilevski
Abstract.
PDF.
Numer. Math.
96 2003, 295-315.
Overlapping Schwarz preconditioners for indefinite Maxwell
equations, by
J. Gopalakrishnan and J.E. Pasciak.
Abstract.
Postscript.
Math. Comp. 72 2003, 1-16.
Using finite element tools in proving shift theorems for elliptic boundary
value problems, by
C. Bacuta, J.H. Bramble, and J.E. Pasciak.
Abstract.
Postscript.
Journal of
Computational Linear Algebra 10 2003, 33-64.
Overlapping Schwarz methods in
Abstract.
PDF.
East West J. Numer. Anal..
10 2002, 221-234.
Multiplier spaces for the mortar finite element method in three
dimensions
by C. Kim, R.D. Lazarov, J.E. Pasciak, and P.S. Vassilevski
Abstract.
Postscript.
SIAM
J. Numer. Anal 39
2001, 519-538.
On the stability of the $L^2$ projection
in $H^1(\Omega)$, by James H. Bramble, Joseph E. Pasciak, and Olaf Steinbach.
Abstract.
Postscript.
Math. Comp.
71 2002, 147-156.
New interpolation results and applications to finite element methods
for elliptic boundary value problems, by
C. Bacuta, J.H. Bramble, and J.E. Pasciak.
Abstract.
Postscript.
East-West J. Numer. Math. 3 (2001) 179-198.
Least-squares methods for linear elasticity
based on a discrete negative norm, by James H. Bramble, Raytcho
D. Lazarov and Joseph E. Pasciak
Abstract.
Postscript.
Comput. Methods in Appl. Mech. Engrg.. 152 (2001) 520-543.
Analysis of an algorithm for computing electromagnetic Bloch modes
using Nedelec spaces, by
D.C. Dobson and J.E. Pasciak.
Abstract.
Postscript.
Comp. Math. App. Math..
1 2001, 138-153.
Iterative solution of a
coupled mixed and standard Galerkin discretization method for
elliptic problems, by R.D. Lazarov, J.E. Pasciak and P. Vassilevski,
Abstract.
Postscript.
Numer. Linear Algebra Appl. 8 (2001) 13-31.
An efficient method for band
structure calculations in 3d photonic crystals, by D.C. Dobson,
J. Gopalakrishnan, and J.E. Pasciak,
Abstract.
Postscript.
Journal of
Computational Physics.
Multigrid for the Mortar finite
element method, by Jayadeep Gopalakrishnan and Joseph E. Pasciak.
Abstract.
Postscript.
SIAM
J. Numer. Anal. 37
(2000) 1029-1052.
Numerical Well Model for Non-Darcy Flow,
by R. Ewing, R. Lazarov, S.L. Lyons, D.V. Papavassiliou, J. Pasciak and
G.X. Qin
Abstract.
Postscript.
Comp.
Geos. 3 (1999) 185-204.
Uzawa Type Algorithms for
Nonsymmetric Saddle Point Problems, by James H. Bramble, Joseph
E. Pasciak, and A. T. Vassilev.
Abstract.
Postscript.
Math. Comp.
69 (2000) 667-689.
Computational scales of Sobolev norms with application to
preconditioning, by J.H Bramble, J.E. Pasciak and P.S. Vassilevski.
Abstract.
Postscript.
Math. Comp.
69 (2000) 463-480.
Least-Squares for Second Order
Elliptic Problems, by James H. Bramble, Raytcho D. Lazarov, and
Joseph E. Pasciak.
Abstract.
Postscript.
Appeared:
Comput. Methods in
Appl. Mech. Engrg. 152 (1998) 195-210.
A least-squares approach based on a
discrete minus one inner product, by James H. Bramble, Raytcho D. Lazarov,
and Joseph E. Pasciak.
Abstract.
Postscript.
Appeared:
Math. Comp., 66 (1997) pp. 935-955.
Analysis of the Inexact Uzawa
Algorithm for Saddle Point Problems, by James H. Bramble, Joseph
E. Pasciak, and A. T. Vassilev.
Abstract.
Postscript.
Appeared:
SIAM J. Numer. Anal., 34 (1997) pp. 1072-1092.
Iterative techniques for time
dependent Stokes problems, James H. Bramble and Joseph E. Pasciak.
Abstract.
Postscript.
Appeared: Math. Applic.,
33 (1997) pp. 13-30.
Analysis of Non-Overlapping Domain Decomposition
Algorithms, by James H. Bramble, Joseph
E. Pasciak, and A. T. Vassilev.
Abstract.
Postscript.
Appeared: Math. Comp.
66 (1997) pp. 179-196.
Least-squares methods for Stokes equations based on a discrete minus one inner
product, by James H. Bramble and Joseph E. Pasciak
Abstract.
Postscript.
Appeared:
J. Comp. App. Math., 74 (1996) pp. 155-173.
A Subspace Preconditioning
Algorithm for Eigenvector/Eigenvalue Computation, by James H. Bramble,
Andrew V. Knyazev, and Joseph E. Pasciak.
Abstract.
Postscript.
Appeared: Advances in Comp. Math.,
6(1996) pp.159-189.
Two-Level preconditioners for 2m'th order elliptic
finite element problems
by James H. Bramble, Joseph E. Pasciak and Xuejun Zhang
Abstract.
Postscript.
Appeared:
East-West J. Numer. Math. 4 (1996) pp. 99-120.
Uniform Convergence Estimates for Multigrid
V-cycle Algorithms with Less than Full Elliptic Regularity,
by James H. Bramble and Joseph E. Pasciak
Abstract.
Postscript.
Appeared:
Domain Decomposition methods in
science and Engineering , A. Quarteroni, J. Periaux, Y.A. Kuznetsov and
O.B. Widlund, Eds,
Contemporary Mathematics Series \#157,
Am. Math. Soc (1994) pp. 17-26
New Estimates for Multilevel
Algorithms Including the V-cycle, by James H. Bramble and Joseph E. Pasciak.
Abstract.
Postscript.
Appeared:
Math.
Comp., V60, (1993) pp. 447-471.