Domain Decomposition Methods for Problems with Partial Refinement. - James H. Bramble; Richard E. Ewing; Rossen R. Parashkevov; Joseph E. Pasciak (SIAM J. Sci. Comput., 1992)

Parallelization of Multiphase Models for Contaminant Transport in Porous Media. - Richard E. Ewing; Michael A. Celia; Patrick O'Leary; Joseph E. Pasciak; Apostol T. Vassilev (PPSC, 1993)

Multilevel Iteration for Mixed Finite Element Systems with Penalty. - Zhiqiang Cai 001; Charles I. Goldstein; Joseph E. Pasciak (SIAM J. Sci. Comput., 1993)

Analysis of V-Cycle Multigrid Algorithms for Forms Defined by Numerical Quadrature. - James H. Bramble; Charles I. Goldstein; Joseph E. Pasciak (SIAM J. Sci. Comput., 1994)

The Mathematical Theory of Finite Element Methods (Susanne C. Brenner and L. Ridgway Scott). - Joseph E. Pasciak (SIAM Rev., 1995)

The analysis of multigrid algorithms for cell centered finite difference methods. - James H. Bramble; Richard E. Ewing; Joseph E. Pasciak; Jian Shen (Adv. Comput. Math., 1996)

A subspace preconditioning algorithm for eigenvector/eigenvalue computation. - James H. Bramble; Joseph E. Pasciak; Andrew V. Knyazev (Adv. Comput. Math., 1996)

Inexact Uzawa Algorithms for Symmetric and Nonsymmetric Saddle-Point Problems. - Joseph E. Pasciak; Apostol T. Vassilev (LSSC, 1997)

A least-squares approach based on a discrete minus one inner product for first order systems. - James H. Bramble; Raytcho D. Lazarov; Joseph E. Pasciak (Math. Comput., 1997)

Analysis of non-overlapping domain decomposition algorithms with inexact solves. - James H. Bramble; Joseph E. Pasciak; Apostol T. Vassilev (Math. Comput., 1998)

Mixed Finite Element Methods for Elliptic Problems on Non-Matching Grids. - Raytcho D. Lazarov; Joseph E. Pasciak; Panayot S. Vassilevski (LSSC, 1999)

Computational scales of Sobolev norms with application to preconditioning. - James H. Bramble; Joseph E. Pasciak; Panayot S. Vassilevski (Math. Comput., 2000)

Uzawa type algorithms for nonsymmetric saddle point problems. - James H. Bramble; Joseph E. Pasciak; Apostol T. Vassilev (Math. Comput., 2000)

Multigrid for the Mortar Finite Element Method. - Jayadeep Gopalakrishnan; Joseph E. Pasciak (SIAM J. Numer. Anal., 2000)

New interpolation results and applications to finite element methods for elliptic boundary value problems. - Constantin Bacuta; James H. Bramble; Joseph E. Pasciak (J. Num. Math., 2001)

Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems. - Raytcho D. Lazarov; Joseph E. Pasciak; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2001)

Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions. - Chisup Kim; Raytcho D. Lazarov; Joseph E. Pasciak; Panayot S. Vassilevski (SIAM J. Numer. Anal., 2001)

Overlapping Schwarz methods in H(curl) on polyhedral domains. - Joseph E. Pasciak; Jun Zhao (J. Num. Math., 2002)

On the stability of the L2 projection in H1(Omega). - James H. Bramble; Joseph E. Pasciak; Olaf Steinbach (Math. Comput., 2002)

Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations. - Jayadeep Gopalakrishnan; Joseph E. Pasciak (Math. Comput., 2003)

Using finite element tools in proving shift theorems for elliptic boundary value problems. - Constantin Bacuta; James H. Bramble; Joseph E. Pasciak (Numer. Linear Algebra Appl., 2003)

Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids. - Raytcho D. Lazarov; Joseph E. Pasciak; Joachim Schöberl; Panayot S. Vassilevski (Numerische Mathematik, 2003)

A new approximation technique for div-curl systems. - James H. Bramble; Joseph E. Pasciak (Math. Comput., 2004)

Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations. - Jayadeep Gopalakrishnan; Joseph E. Pasciak; Leszek F. Demkowicz (SIAM J. Numer. Anal., 2004)

A least-squares approximation method for the time-harmonic Maxwell equations. - James H. Bramble; Tzanio V. Kolev; Joseph E. Pasciak (J. Num. Math., 2005)

The approximation of the Maxwell eigenvalue problem using a least-squares method. - James H. Bramble; Tzanio V. Kolev; Joseph E. Pasciak (Math. Comput., 2005)

The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations. - Jayadeep Gopalakrishnan; Joseph E. Pasciak (Math. Comput., 2006)

A least-squares method for axisymmetric div-curl systems. - Dylan M. Copeland; Joseph E. Pasciak (Numer. Linear Algebra Appl., 2006)

Mesh-independent convergence of the modified inexact Newton method for a second order non-linear problem. - Taejong Kim; Joseph E. Pasciak; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2006)

On the occasion of the sixtieth birthday of Richard E. Ewing. - Raytcho D. Lazarov; Joseph E. Pasciak; Guan Qin (Numer. Linear Algebra Appl., 2006)

A Multigrid Preconditioner for the Mixed Formulation of Linear Plane Elasticity. - Joseph E. Pasciak; Yanqiu Wang (SIAM J. Numer. Anal., 2006)

Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems. - James H. Bramble; Joseph E. Pasciak (Math. Comput., 2007)

Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem. - James H. Bramble; Joseph E. Pasciak (Math. Comput., 2008)

A mixed method for axisymmetric div-curl systems. - Dylan M. Copeland; Jayadeep Gopalakrishnan; Joseph E. Pasciak (Math. Comput., 2008)

H(curl) auxiliary mesh preconditioning. - Tzanio V. Kolev; Joseph E. Pasciak; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2008)

Exact de Rham Sequences of Spaces Defined on Macro-Elements in Two and Three Spatial Dimensions. - Joseph E. Pasciak; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2008)

The computation of resonances in open systems using a perfectly matched layer. - Seungil Kim; Joseph E. Pasciak (Math. Comput., 2009)

Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem. - James H. Bramble; Joseph E. Pasciak; Dimitar Trenev (Math. Comput., 2010)

Error analysis of the DtN-FEM for the scattering problem in acoustics via Fourier analysis. - George C. Hsiao; Nilima Nigam; Joseph E. Pasciak; Liwei Xu (J. Comput. Appl. Math., 2011)

Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H - s , 0 ≤ s ≤ 1. - Bangti Jin; Raytcho D. Lazarov; Joseph E. Pasciak; Zhi Zhou 002 (NAA, 2012)

Convergence analysis of variational and non-variational multigrid algorithms for the Laplace-Beltrami operator. - Andrea Bonito; Joseph E. Pasciak (Math. Comput., 2012)

Analysis of a Cartesian PML approximation to acoustic scattering problems in R2 and R3. - James H. Bramble; Joseph E. Pasciak (J. Comput. Appl. Math., 2013)

Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation. - Bangti Jin; Raytcho D. Lazarov; Joseph E. Pasciak; Zhi Zhou 002 (SIAM J. Numer. Anal., 2014)

Numerical approximation of fractional powers of elliptic operators. - Andrea Bonito; Joseph E. Pasciak (Math. Comput., 2015)

Variational formulation of problems involving fractional order differential operators. - Bangti Jin; Raytcho D. Lazarov; Joseph E. Pasciak; William Rundell (Math. Comput., 2015)

A convergence analysis for a sweeping preconditioner for block tridiagonal systems of linear equations. - Hakan Bagci 001; Joseph E. Pasciak; Kostyantyn Y. Sirenko (Numer. Linear Algebra Appl., 2015)

Numerical Approximation of Space-Time Fractional Parabolic Equations. - Andrea Bonito; Wenyu Lei; Joseph E. Pasciak (Comput. Methods Appl. Math., 2017)

The approximation of parabolic equations involving fractional powers of elliptic operators. - Andrea Bonito; Wenyu Lei; Joseph E. Pasciak (J. Comput. Appl. Math., 2017)

Space-Time Petrov-Galerkin FEM for Fractional Diffusion Problems. - Beiping Duan; Bangti Jin; Raytcho D. Lazarov; Joseph E. Pasciak; Zhi Zhou 002 (Comput. Methods Appl. Math., 2018)

On sinc quadrature approximations of fractional powers of regularly accretive operators. - Andrea Bonito; Wenyu Lei; Joseph E. Pasciak (J. Num. Math., 2019)

Numerical approximation of the integral fractional Laplacian. - Andrea Bonito; Wenyu Lei; Joseph E. Pasciak (Numerische Mathematik, 2019)

Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation. - Stanislav Harizanov; Raytcho D. Lazarov; Svetozar Margenov; Pencho Marinov; Joseph E. Pasciak (J. Comput. Phys., 2020)