Recent mathematical papers by Joseph E. Pasciak and colleagues:

Analysis of a Cartesian PML approximation to acoustic scattering problems in R² by S. Kim and J.E. Pasciak

Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem by J.H. Bramble, J.E. Pasciak and D. Trenev

Analysis of the spectrum of a Cartesian Perfectly Matched Layer (PML) approximation to acoustic scattering problems by S. Kim and J.E. Pasciak

Multigrid convergence for second order elliptic problems with smooth complex coefficients by J. Gopalakrishnan and J.E. Pasciak

The computation of resonances in open systems using a perfectly matched layer. by S. Kim and J.E. Pasciak

Postscript and/or PDF files for recent publications:

Stability of discrete Stokes operators in fractional Sobolev spaces by J.-L. Guermond and J.E. Pasciak

A Mixed Method for Axisymmetric Div-curl Systems by D.M. Copeland, J. Gopalakrishnan and J.E. Pasciak

Exact de Rham sequences of spaces defined on macro-elements in two and three spatial dimensions. by J. E. Pasciak and P. S. Vassilevski

A note on the existence and uniqueness of solutions of frequency domain elastic wave problems: apriori estimates in H¹. by J.H. Bramble and J.E. Pasciak

Stability of discrete Stokes operators in fractional Sobolev spaces by J.-L. Guermond and J.E. Pasciak

A Mixed Method for Axisymmetric Div-curl Systems by D.M. Copeland, J. Gopalakrishnan and J.E. Pasciak

Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem by J.H. Bramble and J.E. Pasciak

H(curl) auxiliary mesh preconditioning by T.V. Kolev, J.E. Pasciak, and P.S. Vassilevski

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

A multigrid preconditioner for the mixed formulation of linear plane elasticity by J.E. Pasciak and Y. Wang

The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations by J. Gopalakrishnan and J.E. Pasciak

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

A Least-Squares Method for Axisymmetric Div-curl Systems by D.M. Copeland and J.E. Pasciak

A least-squares method for the time-harmonic Maxwell equations by J.H. Bramble, T.V. Kolev and J.E. Pasciak

The approximation of the Maxwell eigenvalue problem using a least-squares method by J.H. Bramble, T.V. Kolev and J.E. Pasciak

A new approximation technique for div-curl systems by J.H. Bramble and J.E. Pasciak.

Analysis of a multigrid algorithm for time harmonic Maxwell equations, by L. Demkowicz, J. Gopalakrishnan and J.E. Pasciak.

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

Overlapping Schwarz preconditioners for indefinite Maxwell equations, by J. Gopalakrishnan and J.E. Pasciak.

Using finite element tools in proving shift theorems for elliptic boundary value problems, by C. Bacuta, J.H. Bramble, and J.E. Pasciak.

Overlapping Schwarz methods in H (curl) on nonconvex domains, by J.E. Pasciak and J. Zhao.

Multiplier spaces for the mortar finite element method in three dimensions by C. Kim, R.D. Lazarov, J.E. Pasciak, and P.S. Vassilevski

On the stability of the $L^2$ projection in $H^1(\Omega)$, by James H. Bramble, Joseph E. Pasciak, and Olaf Steinbach.

New interpolation results and applications to finite element methods for elliptic boundary value problems, by C. Bacuta, J.H. Bramble, and J.E. Pasciak.

Least-squares methods for linear elasticity based on a discrete negative norm, by James H. Bramble, Raytcho D. Lazarov and Joseph E. Pasciak

Analysis of an algorithm for computing electromagnetic Bloch modes using Nedelec spaces, by D.C. Dobson and J.E. Pasciak.

Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems, by R.D. Lazarov, J.E. Pasciak and P. Vassilevski,

An efficient method for band structure calculations in 3d photonic crystals, by D.C. Dobson, J. Gopalakrishnan, and J.E. Pasciak,

Multigrid for the Mortar finite element method, by Jayadeep Gopalakrishnan and Joseph E. Pasciak.

Numerical Well Model for Non-Darcy Flow, by R. Ewing, R. Lazarov, S.L. Lyons, D.V. Papavassiliou, J. Pasciak and G.X. Qin

Uzawa Type Algorithms for Nonsymmetric Saddle Point Problems, by James H. Bramble, Joseph E. Pasciak, and A. T. Vassilev.

Computational scales of Sobolev norms with application to preconditioning, by J.H Bramble, J.E. Pasciak and P.S. Vassilevski.

Least-Squares for Second Order Elliptic Problems, by James H. Bramble, Raytcho D. Lazarov, and Joseph E. Pasciak.

A least-squares approach based on a discrete minus one inner product, by James H. Bramble, Raytcho D. Lazarov, and Joseph E. Pasciak.

Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems, by James H. Bramble, Joseph E. Pasciak, and A. T. Vassilev.

Iterative techniques for time dependent Stokes problems, James H. Bramble and Joseph E. Pasciak.

Analysis of Non-Overlapping Domain Decomposition Algorithms, by James H. Bramble, Joseph E. Pasciak, and A. T. Vassilev.

Least-squares methods for Stokes equations based on a discrete minus one inner product, by James H. Bramble and Joseph E. Pasciak

A Subspace Preconditioning Algorithm for Eigenvector/Eigenvalue Computation, by James H. Bramble, Andrew V. Knyazev, and Joseph E. Pasciak.

Two-Level preconditioners for 2m'th order elliptic finite element problems by James H. Bramble, Joseph E. Pasciak and Xuejun Zhang

Uniform Convergence Estimates for Multigrid V-cycle Algorithms with Less than Full Elliptic Regularity, by James H. Bramble and Joseph E. Pasciak

New Estimates for Multilevel Algorithms Including the V-cycle, by James H. Bramble and Joseph E. Pasciak.