%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Bibliography data base Bochev
%
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% Books, book chapters and lecture notes
%
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%
@book{BochevLSFEM:2001,
author={P. Bochev},
title={Finite element methods based on least squares and modified variational principles},
series={ COM2MAC Lecture Notes},
publisher={Postech},
address={Pohang, South Korea},
year={2001},
annote={Based on lecture notes given in Postec in 2001}
}
%
@book{BochevIMA:2006,
title={Compatible discretizations. Proceedings of {IMA} Hot Topics workshop on Compatible discretizations},
series={IMA Volume 142},
publisher={Springer Verlag},
editor={D. Arnold and P. Bochev and R. Lehoucq and R. Nicolaides and M. Shashkov},
year={2006},
annote={Collected lectures from the IMA workshop}
}
%
@inproceedings{BochevVKI:2003,
author={P. Bochev},
title={A discourse on variational and geometric aspects of stability of discretizations},
booktitle={33rd Computational Fluid Dynamics Lecture Series},
series={VKI LS 2003-05},
editor={H. Deconinck},
publisher={Von Karman Institute for Fluid Dynamics},
address={Chaussee de Waterloo, 72, B-1640 Rhode Saint Genese, Belgium},
year={2003},
note={90 pages},
annote={ISSN0377-8312. , 90 pages}
}
%
@inproceedings{bochevPSD,
author = {P. B. Bochev and A. C. Robinson},
title = {Matching algorithms with physics: exact sequences of finite
element spaces},
booktitle={Preservation of stability under discretization},
year ={2001},
editor={D. Estep and S. Tavener},
pages={145-165},
address={Philadelphia},
organization={Colorado State University},
publisher={SIAM}
}
%
@inproceedings{bh:2006,
author={P. Bochev and M. Hyman},
title={Principles of compatible discretizations},
booktitle = {Compatible discretizations, Proceedings of IMA Hot Topics workshop on Compatible discretizations},
volume={IMA 142},
publisher={Springer Verlag},
year={2006},
pages={89--120}
}
%
@inproceedings{BochevICM:2006,
author={P. Bochev and M. Gunzburger},
title={Least-squares finite element methods},
booktitle={Proceedings of the International Congress of Mathematicians (ICM)},
address={Madrid},
year={ 2006},
annote={ Plenary Lectures. SAND 2006-0198C.},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Refereed journal articles
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
@article{Bochev:1987,
author = {P. Bochev},
title = { Application of the extended interval arithmetic to a
real initial value problem},
journal = { Annuaire Univ. Sofia Fac. Math. Inform.},
volume = { 81},
number={1},
year = { 1987 },
pages = { 167--180},
annote = { My first ever paper. Appeared in (1994); MR 95f:65096}
}
%
@inproceedings{Bochev:1989,
author={P. Bochev},
title={Safe and accurate computation of the matrix exponential},
booktitle={Numerical Methods and Applications},
address={Sofia},
year={1988},
publisher={Publishing House of the Bulgarian Academy of Sciences},
pages={65--69}
}
%
@inproceedings{BochevHIFICOMP:1989,
author={R. Angelov and P. Bochev and G. Grozev and S. Markov},
title={Highly accurate and safe numerical computations via interval analysis and advanced computer arithmetic},
booktitle={Numerical methods and applications},
pages={23--27},
publisher={Publ. House Bulgar. Acad. Sci.},
address={Sofia},
year={1989},
annote={ CNO 1027605}
}
%
@article{BochevMarkov:1989,
author = { P. Bochev and S. Markov},
title = { A self-validating numerical method for the matrix exponential},
journal = { Computing },
volume = { 43},
number = {1},
year = { 1989 },
pages = { 59--72 },
annote = {A method to compute exp(A) with guarantee. Cited
in the republished paper by Moler and Van Loan: 19
dubious ways to compute the matrix exponential. MR 90i:65072}
}
%
@article{Bochev:1990,
author = { P. Bochev},
title = { Simultaneous self-verified computation of $exp(A)$ and
$\int^1_0 exp(As)ds$},
journal = { Computing },
volume = { 45},
number = {2},
year = { 1990 },
pages = { 183--191},
annote = { Continues BochevMarkov:1989 ny extending the method to also
compute an integral of the exponential. MR 91i:65058}
}
%
@inproceedings{BochevSCAN:1989,
author={P. Bochev},
title={Enclosure methods for set valued phase flow},
booktitle={Contributions to computer arithmetic and self-validating numerical methods},
publisher={Baltzer},
address={Basel},
year={1989},
pages={173--181},
annote={Paper presented at SCAN89 conference in Basel, 1990; MR 92h:65070}
}
%
@phdthesis{PB2,
author = {P. Bochev},
title = {Least-squares finite element methods for the {S}tokes and
{N}avier-{S}tokes equations},
school = {Virginia Polytechnic Institute and State University, Blacksburg,
Virginia},
year = {1994},
annote = {The definitive source on mathematics of least-squares for incompressible flows :))}
}
%
@article{PG1,
author = { P. Bochev and M. Gunzburger},
title = { A least-squares finite element method for the Navier-{S}tokes
equations},
journal = { Appl. Math. Lett.},
volume = { 6},
number = {2},
year = { 1993 },
pages = { 27--30},
annote = {Our first joint paper with Max about velocity-vorticity-pressure
lsfem for Navier-{S}tokes. MR 96e:76077}
}
@article{PG2,
author = { P. Bochev and M. Gunzburger},
title = { Accuracy of least-squares methods for the Navier-{S}tokes equations },
journal= { Comput. \& Fluids},
volume = { 22},
number = {4-5},
year = { 1993},
pages = { 549--563},
annote = {Conatins numerical study of convergence rates for VVP {S}tokes. MR 94e:76053}
}
%
@article{PG3,
author = { P. Bochev and M. Gunzburger},
title = { Analysis of least-squares finite element methods for the {S}tokes
equations },
journal = { Math. Comp.},
volume = { 63 },
year = { 1994},
pages = {479--506},
annote = {Extends Aziz, Kellog, Osborne analysis to weighted LSFEm for
VVP {S}tokes. MR 95c:76060}
}
%
@article{BochevScovel:1994,
author = { P. Bochev and C. Scovel},
title = { On quadratic invariants and symplectic structure},
journal = { BIT },
volume = { 34},
number={3},
year = { 1994 },
pages = { 337--345},
annote = {Our famous paper about symplectic methods. Even has a commuting
diagram property. Gives conditions that make a scheme symplectic.
MR97k:65164}
}
@article{PG5,
author = { P. Bochev and M. Gunzburger},
title = { Least-squares for the velocity-pressure-stress formulation of the
{S}tokes equations},
journal= { Comput. Meth. Appl. Mech. Engrg.},
volume = { 126},
number={3-4},
year = { 1995},
pages = { 267--287},
annote = { Extends analysis of PG3 to weighted LSFEM for VPS {S}tokes. MR 96g:76034}
}
@article{PB1,
author = { P. Bochev},
title = { Analysis of least-squares finite element methods
for the Navier-{S}tokes equations},
journal= { SIAM J. Num. Anal.},
volume = { 34},
number={5},
year = { 1997 },
pages = { 1817--1844},
annote = { Analysis of LSFEM for VVP Navier-{S}tokes. The SIAM student prize paper.
MR 98g:76053}
}
@article{BochevLiao:1996,
author = {P. Bochev and and G. Liao and G. dela Pena},
title = { Analysis and computation of adaptive moving grids by deformation},
journal = { Numer. Methods Partial Differential Equations},
volume = { 12},
number={4},
year = { 1996 },
pages = { 489--506},
annote = { Uses LSFEM for div - curl equations in a moving mesh method.
MR 97c:65161}
}
@article{pb,
author = { P. Bochev},
title = { Least-squares methods for optimal control},
journal = {Nonlinear Anal.},
volume={ 30},
number={3},
year={1997},
pages={ 1875--1885},
annote={CNO 1490097}
}
@article{bb,
author={P. Bochev and D. Bedivan},
title={Least-squares methods for Navier-{S}tokes boundary control problems},
journal={Int. J. Comput. Fluid Dyn.},
volume={ 9},
number={1},
year={1997},
pages={43--58},
annote={ MR 98k:76084}
}
@article{PBetna,
author = { P. Bochev},
title = { Experiences with negative norm least-squares methods
for the Navier-{S}tokes equations},
journal = { ETNA },
volume = { 6 },
pages = { 44--62},
year = { 1997},
annote = { Contains numerical results with negative norm LSFEM for Navier-{S}tokes}
}
@article{PBnmpde,
author = { P. Bochev },
title = { Negative norm least-squares methods for the
velocity-vorticity-pressure Navier-{S}tokes equations},
journal = { Numerical Methods in PDE's},
volume = { 15 },
year = { 1999 },
pages = {237--256},
annote = { Rigorous analysis of the negative norm method for VVP Navier-{S}tokes}
}
@article{PCM2,
author = { P. Bochev and Z. Cai and T. Manteuffel and S. McCormick},
title = { Analysis of velocity-flux least squares methods for the {N}avier-{S}tokes
equations, {P}art-I},
journal = { SIAM. J. Num. Anal.},
volume = { 35},
number={3},
year = { 1998},
pages = { 990-1009},
annote = { Formulation and analysis of LSFEM for VF form of Navier-{S}tokes}
}
%
@article{PCM99,
author = { P. Bochev and T. Manteuffel and S. McCormick},
title = { Analysis of velocity-flux least squares methods for the
Navier-{S}tokes equations, Part-II },
journal = { SIAM. J. Num. Anal.},
volume = { 36},
number={4},
year = { 1999 },
pages = { 1125--1144},
annote = { Continuation of PCM2 - gives analysis of discrete negative norm method}
}
%
@article{PG98,
author = { P. Bochev and M. Gunzburger},
title = {Finite element methods of least-squares type},
journal= { SIAM Review },
volume = { 40},
number={4},
year = { 1998 },
pages = { 789--837},
annote = {The definitive reference about least-squares in general. MR 99k:65104 }
}
%
@inproceedings{BochevENUMATH:1997,
author={P. Bochev},
title={ Least-squares methods for the Navier-{S}tokes equations: trends and developments},
booktitle={Proceedings of the 2nd European Conference on Numerical Methods and Applications ENUMATH 97, Heidelberg, September 29- October 3, 1997},
editor={H. Bock and G. Kansacht and R. Rannacher and F. Brezzi and R. Glowinski and Y. Kuznetsov and J. Periaux},
pages={172--179},
publisher={World Sci. Publishing},
address={River Edge, NJ},
year={1998},
annote={ CNO 1705030, ISBN:981-02-3546-1}
}
%
@article{BochevChoi:2001a,
author = { P. Bochev and J. Choi},
title = { Improved least-squares error estimates for scalar hyperbolic problems},
journal = { Comput. Methods Appl. Math.},
volume = { 1},
number={2},
year = { 2001 },
pages = { 115--124},
annote = { Shows that the gap of the least-squares method for scalar
hyperbolic equation is less than suggested by conventional
analysis. MR 2002g:65139}
}
%
@article{BochevChoi:2001b,
author = { P. Bochev and J. Choi},
title = { A comparative study of least-squares, {SUPG} and {G}alerkin methods for
convection problems},
journal = { Int. J. Comput. Fluid Dyn.},
volume = { 15},
number={2},
year = { 2001 },
pages = { 127--146},
annote = { Compares three methods for scalar advection problem. MR 2002m:76066}
}
%
@article{BochevZPinch:2003,
author = { P. Bochev and J. Hu and A. Robinson and R. Tuminaro},
title = { Towards robust 3{D} Z-pinch simulations: discretization and fast
solvers for magnetic diffusion in heterogeneous conductors},
journal = { Electron. Trans. Numer. Anal.},
volume = { 15 },
year = { 2003 },
pages = { 186--210},
annote ={ (electronic); CNO 1991273. Edge elements and ML solvers for
eddy current like problem}
}
%
@article{BBGS02,
author = {T. Barth and P. Bochev and M. Gunzburger and J.N.Shadid},
title = {A Taxonomy of consistently stabilized finite element methods for the {S}tokes problem},
JOURNAL = {SIAM J. Sci. Comp.},
VOLUME = {25},
number={5},
YEAR = {2004},
PAGES = {1585-1607},
}
@inproceedings{BochevDD:2003,
author={P. Bochev and R. Lehoucq},
title={Regularized formulations of FETI},
booktitle={Domain Decomposition methods in Science and Engineering},
editor={I. Herera and D. Kayes and O. Widlund and R. Yates},
publisher={National Autonomous University of Mexico (UNAM)},
year={2003},
pages={203--209},
annote={ISBN970-32-0859-2, pp.203-209. SAND 2002-0965C.}
}
%
@article{BochevMHD:2004,
author={P. Bochev and C. Garasi and J. Hu and A. Robinson and R. Tuminaro},
title={An improved algebraic multigrid method for solving {M}axwell's equations},
journal={SIAM J. Sci. Comp.},
volume={ 25},
number={2},
pages={623--642},
year={ 2004},
annote={ SAND 2002-8222J}
}
%
@article{BochevAMG:2007,
author={P. Bochev and J. Hu and C. Siefert and R. Tuminaro},
title={An algebraic multigrid approach based on a compatible gauge reformulation of {M}axwellÕs equations},
journal={SIAM J. Sci. Comp.},
% volume={},
% number={2},
% pages={623--642},
year={ 2007},
note={submitted},
annote={ SAND 2007-XXXX}
}
%
@article{BochevSUPG:2004,
author={P. Bochev and M. Gunzburger and J. Shadid},
title={Stability of the {SUPG} finite element method for transient advection-diffusion problems.},
journal={Comp. Meth. Appl. Mech. Engrg.},
volume={193},
number={23-26},
pages={2301-2323},
year={2004},
annote={ SAND 2003-3576J.}
}
%
@ARTICLE{bgs04,
AUTHOR = { P. Bochev and M. Gunzburger and J. Shadid},
TITLE = {On inf-sup stabilized finite element methods for transient problems},
JOURNAL = {CMAME},
VOLUME = {193},
pages= {1471-1489},
YEAR = {2004}
}
%
@article{PG44,
author={P. Bochev and M. Gunzburger},
title={Least-squares finite element methods for optimization and control problems for the {S}tokes equations.},
journal={ Comp. Math. Appl.},
volume={48},
number={7},
year={2004},
pages={1035--1057},
annote={ SAND 2003-0744J.}
}
@inproceedings{PG55,
author={P. Bochev and M. Gunzburger},
title= {Least-squares/penalty finite element methods for optimization and control problems},
booktitle={Proceedings of the workshop "Towards real time and online {PDE} constrained optimization},
address={Santa Fe},
year={2005},
publisher={SIAM, Philadelphia},
note={To appear.}
}
%
@article{DB04,
AUTHOR = {C. Dohrmann and P. Bochev},
TITLE = {A stabilized finite element method for the {S}tokes problem based on polynomial pressure projections},
JOURNAL ={IJNME},
VOLUME = {46},
YEAR = {2004},
pages = {183-201},
}
%
@Article{bg03,
AUTHOR = {P. Bochev and M. Gunzburger},
TITLE = {An absolutely stable Pressure-{P}oisson stabilized method for the {S}tokes equations},
journal={SIAM. J. Num. Anal.},
volume={42},
number={3},
pages={1189--1207},
year={2005},
annote={Presents a version of the Pressure-{P}oisson stabilization that uses discrete Laplace operator and which is unconditionally stable.}
}
%
@article{PB2004,
author={P. Bochev},
title={Least-squares finite element methods for first-order elliptic systems},
journal={Int. J. Num. Anal. Modeling},
volume={1},
number={1},
pages={49--64},
year={2004},
annote={2004 SAND 2004-0299J},
}
%
@article{bl05,
author={P. Bochev and R. Lehoucq},
title={On the finite element solution of the pure Neumann problem},
journal={SIAM Review},
volume={47},
number={1},
pages={50--66},
year={2005},
annote={ SAND 2001-0733J},
}
%
@article{BochevREMAP:2005,
author={P. Bochev and M. Shashkov},
title={Constrained interpolation (remap) of divergence-free fields},
journal={Computer Methods in Applied Mechanics and Engineering},
volume={194},
year={2005},
pages={511Ñ530},
annote={ SAND 2003-3705J.},
}
@article{PGo1,
author={ P. Bochev and M. Gunzburger},
title={Least-squares finite element methods for optimality systems arising in optimization and control problems.},
journal={ SIAM J. Num. Anal.},
volume={43},
number={6},
pages={517--543},
year={2006},
annote={ SAND 2004-1017J.},
}
@article{BochevKPDP:2006,
author={P. Bochev and M. Gunzburger},
title={On least-squares finite element methods for the {P}oisson equation and their connection to the {D}irichlet and {K}elvin principles.},
journal={ SIAM J. Num. Anal.},
volume={43},
number={1},
pages={340--362},
year={2005}
}
@article{DBG05,
author={P. Bochev and C. Dohrmann and M.D. Gunzburger},
title={Stabilization of low-order mixed finite elements for the {S}tokes equations},
journal={SIAM J. Num. Anal.},
volume={44},
number={1},
pages={82--101},
year={2006},
annote={ SAND 2004-2391J},
}
%
@article{BochevMHD:2006,
author={J. Hu and R. Tuminaro and P. Bochev and C. Garasi and A. Robinson},
title={Toward an h-independent algebraic multigrid method for {M}axwellÕs equations.},
journal={ SIAM J. Sci. Comp.},
volume={27},
number={5},
pages={1669--1688},
year={2006},
annote={ SAND 2004-2134J.},
}
%
@article{BochevPPSDarcy:2006,
author={P. Bochev and C. Dohrmann},
title={A computational study of stabilized, low order ${C}^0$ finite element approximations of {D}arcy equations},
journal={Computational Mechanics},
year={2006},
note={To appear},
annote={SAND 2004-4652J.},
}
%
@inproceedings{BochevAT:2005,
author={P. Bochev and M. Gunzburger},
title={Compatible discretizations of second-order elliptic equations},
series={Zapiski Nauchnyh Seminarov POMI},
volume={318},
issue={35},
booktitle={Boundary-Value Problems of Mathematical Physics and Related Problems of Function Theory},
editors={S. Repin and G. A. Seregin},
pages={75--99},
year={2005},
annote={ SAND 2004-6077J.}
}
%
@article{bl06,
author={P. Bochev and R. Lehoucq},
title={Regularization and stabilization of discrete saddle-point variational problems},
journal={ETNA},
volume={ 22},
pages={97--113},
year={2006},
annote={ SAND 2005-1514J.},
}
@article{BochevMDG:2006,
author={T. Hughes and G. Scovazzi and P. Bochev and A. Buffa},
title={A multiscale {D}iscontinuous {G}alerkin method with the computational structure of a continuous {G}alerkin method},
journal={CMAME},
volume={195},
pages={2761--2787},
year={2006},
annote={ SAND 2005-2124J.},
}
%
@inproceedings{BochevMDG:2006a,
author={P. Bochev and T. Hughes and G. Scovazzi},
title={ A Multiscale {D}iscontinuous {G}alerkin Method},
booktitle={Proceedings of LSSC 2005},
editor={I. Lirkov and S. Margenov and J. Wasniewski},
series={Springer Lecture Notes in Computer Science},
volume={ 3743},
pages={84--93},
annote={SAND 2005-2587 C.},
year={2006}
}
%
@article{BochevKimShin:2006,
author={P. Bochev and S. Kim and B. Shin},
title={Analysis and computation of least-squares methods for a compressible {S}tokes problem},
journal={ Num. Meth PDE},
volume={22},
issue={4},
year={2006},
pages={867-883},
annote={ SAND 2006-2148J},
}
@article{BochevLSMT:2007,
author={P. Bochev and D. Day},
title={Analysis and computation of a least-squares method for consistent mesh tying.},
journal={J. Comp. Appl. Math},
year={2007},
note={Submitted},
annote={SAND 2007-XXXX},
}
%
@article{BochevLSMT:2006,
author={P. Bochev and D. Day},
title={A least-squares method for consistent mesh tying},
journal={Int. J. Num. Anal. Modeling},
year={2007},
volume={4},
issue={3-4},
pages={342-352},
annote={ SAND 2006-1412J},
}
%
@article{PGo2,
author={P. Bochev and M. Gunzburger},
title={On least-squares variational principles for the discretization of
optimization and control problems},
journal={Methods and Applications of Analysis},
volume={12},
number={4},
pages={395--426},
year={2005},
annote={SAND 2005-4939J.}
}
%
@article{BochevSmallDt:2006,
author={P. Bochev and M. Gunzburger and R. Lehoucq},
title={On stabilized finite element methods for the {S}tokes problem in the small time step limit},
journal={Int. J. Num. Meth. Fluids.},
volume={53},
issue={4},
pages={573-597},
doi={10.1002/fld.1295},
year={2007},
annote={SAND 2005-7817J},
}
%
@article{BochevMLS:2006,
author={P. Bochev and M. Gunzburger},
title={A locally conservative least-squares method for {D}arcy flows},
journal={Communications in Numerical Methods in Engineering},
note={To appear.},
annote={ SAND 2006-2097J},
year={2007}
}
@article{BochevMT:2007,
author={M. Parks and L. Romero and P. Bochev},
title={A novel {L}agrange-multiplier based method for consistent mesh tying},
journal={Computer Methods in Applied Mechanics and Engineering},
note={Accepted},
annote={SAND 2006-6840J},
year={2007}
}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Conference proceedings
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
@inproceedings{PCM1,
author = { P. Bochev and Z. Cai, T. Manteuffel and S. McCormick},
title = { First order least squares for the Navier-{S}tokes equations},
booktitle = { Proceedings of the Seventh Copper Mountain Conference on Multigrid
Methods, Part 1},
series = {NASA Conference Publication },
number = { 3339 },
year = { 1996 },
pages = { 41--55}
}
%
@inproceedings{PG4,
author={P. Bochev and M. Gunzburger},
title={Analysis of weighted least-squares finite element methods for the Navier-{S}tokes equations}, booktitle={Proceedings of the 14th IMACS World Congress},
volume ={2},
Editor={W.F. Ames},
publisher={ Georgia Tech},
address={Atlanta},
pages={584-587},
year={1994}
}
%
@INCOLLECTION{bgl04,
AUTHOR = { P. Bochev and M. Gunzburger and R. Lehoucq},
TITLE = {On stabilized finite element methods for transient problems with varying time scales.},
BOOKTITLE ={Proceedings of ECOMASS 2004},
PUBLISHER = {European Congress on Computational Methods in Applied Sciences and Engineering},
YEAR = {2004}
}
%
@incollection{BochevPPS:2004,
author={P. Bochev and C. Dohrmann},
title={ Stabilized finite element methods for the {S}tokes problem based on polynomial pressure projections},
booktitle={ Proceedings of ECOMASS 2004},
year={2004}
}
%
@inproceedings{BochevWCCM:2002,
author={P. Bochev and J. N. Shadid and M. D. Gunzburger},
title={On stabilized finite element methods for transient problems with varying time scales.},
booktitle={Proceedings of the Fifth World Congress on Computational Mechanics (WCCMÊV)},
editor={ H.A. Mang and F.G. Rammerstorfer and J. Eberhardsteiner},
publisher={ Vienna University of Technology, Austria},
address={Vienna, Austria},
year={2002},
month={7-12 July},
ANNOTE={ ISBNÊ3-9501554-0-6, http://wccm.tuwien.ac.at. SAND 2002-1487C.}
}
%
@inproceedings{BochevODE:1987,
author={P. Bochev and S. Markov},
title={Interval analytic methods for solving ODEÕs},
note={in Bulgarian},
booktitle={Proceedings of the {XIII} {N}ational {W}orkshop Ò{A}pplications of {M}athematicsÓ},
address={Varna},
year={1987},
pages={200-203}
}
%
@inproceedings{BochevHIFICOMP:1989,
author={P. Bochev and T. Velitchkov and S. Markov},
title={Numerical methods with result verification and software environment for their realization},
note={In Bulgarian},
booktitle={Proceedings 18th Spring Conference of the Union of Mathematicians in Bulgaria}, address={Albena, April 6-10},
year={1989},
pages={67-79}
}
%
@inproceedings{BochevASME:1997,
author={P. Bochev and M. Gunzburger},
title={Least-squares finite element methods for viscous, incompressible flows},
note={ASME Paper FEDSM97-3487},
booktitle={1997 ASME Fluids Engineering Division Summer Meeting},
address={Vancouver, British Columbia, June 22-26},
year={1997}
}
%
@inproceedings{BochevKAIST:1999,
author={P. Bochev and J. Deang and M. Gunzburger},
title={Least-squares finite element methods with applications to the {S}tokes equations}, booktitle={Proceedings of the KAIST Mathematics workshop on Finite Element Methods, {D}aejon, {S}outh {K}orea, {F}ebruary 1999},
editor={Do Young Kwak},
publisher={KAIST},
pages={ 21-39},
year={1999}
}
%
@inproceedings{BochevMDG:2005ASME,
author={P. Bochev and T. Hughes and G. Scovazzi},
title={Variational multiscale framework for {DG}},
booktitle={Proceedings of 2005 {ASME} {I}nternational {M}echanical {E}ngineering {C}ongress and {E}xposition},
note={ASME paper IMECE2005-80894},
address={ Orlando, Florida},
year={2005},
}
%
@inproceedings{BochevREMAP_5LAB:2005,
author={P. Bochev and M. Shashkov},
title={Constrained interpolation remap of discrete divergence free fields},
booktitle={ Proceedings of the Five-Laboratory Conference on Computational Mathematics}, address={Vienna, Austria, 19Ð 23 June 2005},
year={2005},
annote={ SAND 2005-3330C. Accepted 06/01/2005}
}
%
@inproceedings{BochevAT_5LAB:2005,
author={P. Bochev and M. Hyman},
title={Application of algebraic topology to mimetic discretizations},
booktitle={ Proceedings of the Five-Laboratory Conference on Computational Mathematics}, address={Vienna, Austria, 19Ð 23 June 2005},
year={2005},
annote={SAND 2005-3331C, Accepted 06/01/2005}
}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Technical reports
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
@techreport{BochevNASA:1993,
author={P. Bochev and M. Gunzburger},
title={Accuracy of least-squares methods for the Navier-{S}tokes equations},
institution={NASA},
number={ Technical Memorandum, 106209, ICOMP-93-19},
year={June 1993}
}
%
@techreport{BochevScovel:1993,
author={P. Bochev and C. Scovel},
title={On quadratic invariants and simplectic structure},
number={LA-UR-93-3198},
institution={Los Alamos National Laboratory},
year={1993}
}
%
@techreport{BochevSNL:2000,
author={P. Bochev},
title={Finite Element Methods: a variational approach to theory and practice},
institution={Sandia National Laboratories},
number={Report SAND2000-0979},
volume={SCAN Issue 2},
year={July 2000},
note={133 pages}
}
%
@techreport{BochevVMS:2004,
author={P. Bochev and M. Christon and S. Collis and R. Lehoucq and A. Slepoy and J. Shadid},
title={A Mathematical Framework for Multiscale Science and Engineering: The Variational Multiscale Method and Interscale Transfer Operators},
institution={Sandia National Laboratories},
number={SAND2004-2871},
year={2004}
}
%
@techreport{BochevGEO:2005,
author={D. Day and P. Bochev and K. Pendley and C. Weiss and A. Robinson},
title={Geophysical Subsurface Imaging and Interface Identification},
institution={Sandia National Laboratories},
number={SAND2005-6272},
year={2005}
}
%[5] P. Bochev, Least-squares methods for elliptic problems, in Proceedings of Conference on Iterative Solution Methods for the Elasticity Equations as Arising in Mechanics and Biomechanics, IMMBÕ98, University of Nijmegen, Netherlands, September 28-30, 1998.