 | 2011 |
| 20 |  | Pavel B. Bochev,
Denis Ridzal,
Joseph Young:
Optimization-Based Modeling with Applications to Transport: Part 1. Abstract Formulation.
LSSC 2011: 63-71 |
| 19 |  | Joseph Young,
Denis Ridzal,
Pavel B. Bochev:
Optimization-Based Modeling with Applications to Transport: Part 2. The Optimization Algorithm.
LSSC 2011: 72-80 |
| 18 |  | Denis Ridzal,
Joseph Young,
Pavel B. Bochev,
Kara Peterson:
Optimization-Based Modeling with Applications to Transport: Part 3. Computational Studies.
LSSC 2011: 81-88 |
| 17 |  | Pavel B. Bochev,
Denis Ridzal,
Guglielmo Scovazzi,
Mikhail Shashkov:
Formulation, analysis and numerical study of an optimization-based conservative interpolation (remap) of scalar fields for arbitrary Lagrangian-Eulerian methods.
J. Comput. Physics 230(13): 5199-5225 (2011) |
| 16 |  | Pavel B. Bochev,
Kara Peterson,
Christopher M. Siefert:
Analysis and Computation of Compatible Least-Squares Methods for div-curl Equations.
SIAM J. Numerical Analysis 49(1): 159-181 (2011) |
| 2009 |
| 15 |  | Pavel B. Bochev,
Max Gunzburger:
A Locally Conservative Mimetic Least-Squares Finite Element Method for the Stokes Equations.
LSSC 2009: 637-644 |
| 14 |  | Pavel B. Bochev,
Denis Ridzal:
Additive Operator Decomposition and Optimization-Based Reconnection with Applications.
LSSC 2009: 645-652 |
| 13 |  | Pavel B. Bochev,
Denis Ridzal:
An Optimization-Based Approach for the Design of PDE Solution Algorithms.
SIAM J. Numerical Analysis 47(5): 3938-3955 (2009) |
| 2008 |
| 12 |  | Michael L. Parks,
Pavel B. Bochev,
Richard B. Lehoucq:
Connecting Atomistic-to-Continuum Coupling and Domain Decomposition.
Multiscale Modeling & Simulation 7(1): 362-380 (2008) |
| 11 |  | Santiago Badia,
Michael L. Parks,
Pavel B. Bochev,
Max Gunzburger,
Richard B. Lehoucq:
On Atomistic-to-Continuum Coupling by Blending.
Multiscale Modeling & Simulation 7(1): 381-406 (2008) |
| 10 |  | Pavel B. Bochev,
Denis Ridzal:
Rehabilitation of the Lowest-Order Raviart-Thomas Element on Quadrilateral Grids.
SIAM J. Numerical Analysis 47(1): 487-507 (2008) |
| 9 |  | Pavel B. Bochev,
Jonathan J. Hu,
Christopher M. Siefert,
Raymond S. Tuminaro:
An Algebraic Multigrid Approach Based on a Compatible Gauge Reformulation of Maxwell's Equations.
SIAM J. Scientific Computing 31(1): 557-583 (2008) |
| 2007 |
| 8 |  | Santiago Badia,
Pavel B. Bochev,
Max Gunzburger,
Richard B. Lehoucq,
Michael L. Parks:
Bridging Methods for Coupling Atomistic and Continuum Models.
LSSC 2007: 16-27 |
| 7 |  | Pavel B. Bochev,
Denis Ridzal:
Finite Element Solution of Optimal Control Problems Arising in Semiconductor Modeling.
LSSC 2007: 235-242 |
| 2006 |
| 6 |  | Pavel B. Bochev,
Max Gunzburger:
Least-Squares Finite Element Methods for Optimality Systems Arising in Optimization and Control Problems.
SIAM J. Numerical Analysis 43(6): 2517-2543 (2006) |
| 5 |  | Pavel B. Bochev,
Clark R. Dohrmann,
Max Gunzburger:
Stabilization of Low-order Mixed Finite Elements for the Stokes Equations.
SIAM J. Numerical Analysis 44(1): 82-101 (2006) |
| 4 |  | Jonathan J. Hu,
Ray S. Tuminaro,
Pavel B. Bochev,
Christopher J. Garasi,
Allen C. Robinson:
Toward an h-Independent Algebraic Multigrid Method for Maxwell's Equations.
SIAM J. Scientific Computing 27(5): 1669-1688 (2006) |
| 2005 |
| 3 |  | Pavel B. Bochev,
Thomas J. R. Hughes,
Guglielmo Scovazzi:
A Multiscale Discontinuous Galerkin Method.
LSSC 2005: 84-93 |
| 2 |  | Pavel B. Bochev,
Max Gunzburger:
On Least-Squares Finite Element Methods for the Poisson Equation and Their Connection to the Dirichlet and Kelvin Principles.
SIAM J. Numerical Analysis 43(1): 340-362 (2005) |
| 2004 |
| 1 |  | Pavel B. Bochev,
Max Gunzburger:
An Absolutely Stable Pressure-Poisson Stabilized Finite Element Method for the Stokes Equations.
SIAM J. Numerical Analysis 42(3): 1189-1207 (2004) |