%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%                                           Bibliography data base Bochev
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% 					Books, book chapters and lecture notes
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
@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.