FOSLS manuscripts
- FOSLoSophy.ps
- First-order system least squares philosophy, manuascript by
the FOSLS gang. [Written to provide basic understanding and encourage discussion.]
- adapt.ps
- Local error estimates and adaptive refinement for first-order system
least squares (FOSLS), M. Berndt, T. Manteuffel, and S. McCormick, E.T.N.A.
6 (1998), pp. 35-43.
- adapt2.pdf
- Efficiency-based adaptive local refinement for first-order system least-squares formulations,
J. Adler, T. Manteuffel, S. McCormick, J. Nolting, J. Ruge, and L. Tang,
SIAM J. Sci. Comp. 33 (2011), pp. 1-24 .
- bloodflo2d.pdf
- First-order system least squares for elastohydrodynamics with
application to flow in compliant blood vessels, J. J. Heys, C. G. DeGroff,
W. W. Orlando, T. Manteuffel, and S. McCormick, Biomed. Sci. Instr. 38 (2002),
pp. 277-282.
- bloodflo3d.pdf
- Modeling 3-d compliant blood flow with FOSLS, J. J. Heys, C.
G. DeGroff, T. Manteuffel, S. McCormick, and H. Tufo, Biomed. Sci. Instr. 40
(2004), pp. 193-199.
- bloodflow.pdf
- First-order system least squares (FOSLS) for modeling blood flow,
J. J. Heys, C. G. DeGroff, T. Manteuffel, and S. McCormick,
Med. Eng. Phys. 28 (2006), pp. 495-503.
- coupled1.pdf
- First-order system least squares for coupled fluid-elasticity
problems, J. J. Heys, T. Manteuffel, S. McCormick, and J. Ruge,
J. Comp. Phys. 195 (2004), pp. 560-575.
- cd.ps
- First-order system least squares (FOSLS) for convection-diffusion
problems: numerical results, J.-M. Fiard, T. Manteuffel, and S. McCormick,
SIAM J. Sci. Comp. 19 (1998), pp. 1958-1979.
- disc-coef1.pdf
- Analysis of first-order system least squares (FOSLS) for elliptic
problems with discontinuous coefficients: Part I, M. Berndt, T. Manteuffel,
S. McCormick, and G. Starke, SIAM J. Numer. Anal. 43 (2005), pp.386-408.
- disc-coef2.pdf
- Analysis of first-order system least squares (FOSLS) for elliptic
problems with discontinuous coefficients: Part II, M. Berndt, T. Manteuffel,
and S. McCormick, SIAM J. Numer. Anal. 43 (2005), pp.409-436.
- divfree.pdf
- A robust approach to minimizing H(div) dominated functionals in an
H1-conforming finite element space, T. Austin, T. Manteuffel, and S.
McCormick, J. Numer. Lin. Alg. Appl. 11 (2004), pp. 115-140.
- egg.ps or egg.pdf
- Multilevel first-order system least squares for elliptic grid generation
, A. Codd, T. Manteuffel, S. McCormick, and J. Ruge, SIAM J.
Numer. Anal. 41 (2003), pp. 2210-2232.
- eit1.ps
- First-order system least squares and electrical impedance tomography,
H. MacMillan, S. McCormick, and T. Manteuffel, SIAM J. Numer. Anal.
42 (2004), pp. 461-483
- eit2.ps
- First-order system least squares and electrical impedance tomography:
part II, H. MacMillan, S. McCormick, and T. Manteuffel, manuscript.
- elas1.ps
- First-order system least squares for the pure traction problem
in planar linear elasticity, Z. Cai, T. Manteuffel, S. McCormick, and
S. Parter, SIAM J. Numer. Anal. 35 (1998), pp. 320-335.
- elas2.ps
- First-order system least squares for planar linear elasticity:
numerical results, Z. Cai, C.-O. Lee, T. Manteuffel, and S. McCormick,
SIAM J. Sci. Comp. 21 (2000), pp. 1706-1727.
- elas3.ps
- First-order system least squares for the Stokes and elasticity
equations: further results, Z. Cai, C.-O. Lee, T. Manteuffel, and S.
McCormick, SIAM J. Sci. Comp. 21 (2000), pp. 1728-1739.
- elas4.ps
- First-order system least squares (FOSLS) for spatial linear elasticity:
pure traction, S.-D. Kim, T. Manteuffel, and S. McCormick, SIAM J.
Num. Anal. 38 (2001), pp. 1454-1482.
- elliptic1.ps
- First-order system least squares for second-order partial differential
equations: part I, Z. Cai, R. Lazarov, T. Manteuffel, and S. McCormick,
SIAM J. Num. Anal. 31 (1994), pp. 1785-1802.
- elliptic2.ps
- First-order system least squares for second-order partial differential
equations: part II, Z. Cai, T. Manteuffel, and S. McCormick, SIAM
J. Num. Anal. 34 (1997), pp. 425-454.
- fosllt.ps
- First-order system LL* (FOSLL*): scalar elliptic partial differential
equations, Z. Cai, T. Manteuffel, and S. McCormick, SIAM J. Num.
Anal. 39 (2001), pp. 1418-1445.
- fosllt2.pdf
- First-order system LL* (FOSLL*) for general scalar elliptic
problems
in the plane, T. Manteuffel, S. McCormick, J. Ruge, and J. G. Schmidt,
SIAM J. Num. Anal. 43 (2006), pp. 2098-2120.
- fosllt3.pdf
- FOSLL* method for the eddy current problem with three dimensional edge
singularities, E. Lee and T. Manteuffel,
SIAM J. Numer. Anal. 45 (2007), pp. 787-809.
- helmholtz1.ps
- Multilevel first-order system least squares (FOSLS) for Helmholtz
equations, S. McCormick, Procs. Conf. Maxwell Equations, D.C., John
Wiley and Sons, 1993.
- helmholtz2.ps
- First-order system least squares (FOSLS) for the Helmholtz equation,
B. Lee, T. Manteuffel, S. McCormick, and J. Ruge, SIAM J. Sci. Comp.
21 (2000), pp. 1927-1949.
- hpefficiency.pdf
- Efficiency-based h- and hp-refinement strategies for finite element methods,
H. De Sterck, T. Manteuffel, S. McCormick, J. Nolting, J. Ruge, and L. Tang,
J. Num. Lin. Alg. Appl. 15 (2008), pp. 249-270.
- hyp1.pdf
- Least-squares finite element methods and algebraic multigrid
solvers for linear hyperbolic PDEs, H. de Sterck, T. Manteuffel,
S. McCormick, and L. Olson, SIAM J. Sci Comp. 26 (2004),
pp. 31-54.
- hyp2.pdf
- Numerical conservation properties of H(div)-conforming least-squares
finite element methods for the Burgers equation, H. de Sterck, T. Manteuffel,
S. McCormick, and L. Olson, SIAM J. Sci Comp. 26 (2005), pp. 1573-1597.
- mass.pdf
- On mass-conserving least-squares methods,
J. Heys, E. Lee, T. Manteuffel, and S. McCormick,
SIAM J. Sci. Comp. 28 (2006), pp. 1675-1693.
- mass2.pdf
- An alternative least-squares formulation of
the Navier-Stokes equations with improved
mass conservation,
J. Heys, E. Lee, T. Manteuffel, and S. McCormick,
J. Comp. Phys., 226,(2008), pp. 994Ñ1006.
- mhd1.pdf
- First-order system least squares for resistive magnetohydrodynamics,
J. Adler, T. Manteuffel, S. McCormick, and J. Ruge,
SIAM J. Sci. Comp. 32 (2010), pp. 229-248.
- mhd2.pdf
- An efficiency-based adaptive refinement scheme applied to incompressible, resistive magnetohydrodynamics,,
J. Adler, T. Manteuffel, S. McCormick, J. Nolting, J. Ruge, and L. Tang,
Lecture Notes in Computer Science 5910 (2010), pp. 1-13.
- mhd3.pdf
- Nested iteration and first-order system least squares for incompressible, resistive magnetohydrodynamics,,
J. Adler, T. Manteuffel, S. McCormick, J. Ruge, and G. Sanders,
SIAM J. Sci. Comp. 32 (2010), pp. 1506-1526.
- nitsche.ps
- Improved discretization error estimates for first- order system
least squares (FOSLS), T. Manteuffel, S. McCormick, and C. Pflaum, J.
Num. Math. 11 (2003), pp.163-177.
- nonlinear.ps or nonlinear.pdf
- Multilevel first-order system least squares for nonlinear partial
differential equations , A. Codd, T. Manteuffel, and S. McCormick, SIAM
J. Numer. Anal. 41 (2003), pp. 2197-2209.
- nonlinelas.pdf
- First-order system least squares (FOSLS for
geometrically nonlinear elasticity ,
T. Manteuffel, S. McCormick, J. Schmidt, and C. Westphal SIAM
J. Numer. Anal. 44 (2006), pp. 2057-2081.
- nsfosll.pdf
- Enhanced mass conservation in least-squares methods
for Navier-Stokes equations,
J. Heys, E. Lee, T. Manteuffel, S. McCormick, and J. Ruge,
SIAM J. Sci. Comp. 31 (2009), pp. 2303-2321.
- nstokes1.ps
- Analysis of velocity-flux first-order system least-squares principles
for the Navier-Stokes equations: Part I, P. Bochev, Z. Cai, T. Manteuffel,
and S. McCormick, SIAM J. Numer. Anal. 35 (1998), pp. 990-1009.
- nstokes2.ps
- Analysis of velocity-flux least-squares principles for the Navier-Stokes
equations: Part II, P. Bochev, Z. Cai, T. Manteuffel, and S. McCormick,
SIAM J. Numer. Anal. 36 (1999), pp. 1125-1144.
- oseen.pdf
- First-order system least-squares for the Oseen
equations, S.-D. Kim, C.-O. Lee,
T. Manteuffel, S. McCormick, and O. Roehrle,
J. Numer. Lin. Alg. Appl. 13 (2006), pp. 461-486.
- piv.pdf
- Weighted least-squares finite elements for particle imaging velocimetry analysis, M. Belohlavek, J. Heys, T. Mantueffel,S. McCormick, M. Milano, and E. McMahon,
JCP 229 (2010), pp. 107-118.
- refine.pdf
- Further results on error estimators for local refinement with first-order
system least squares (FOSLS), T. Manteuffel, S. McCormick, J. Nolting, J. Ruge, and G. Sanders,
J. Num. Lin. Alg. Appl. 17 (2010), pp. 387-413.
- stokes1.ps
- First-order system least squares for the Stokes equations, with
application to linear elasticity, Z. Cai, T. Manteuffel, and S. McCormick,
SIAM J. Numer. Anal. 34 (1997), pp. 1727-1741.
- stokes2.ps
- First-order system least squares for the vorticity form of the
Stokes equations, with application to linear elasticity, Z. Cai, T.
Manteuffel, and S. McCormick, E.T.N.A. 3 (1997), pp. 150-159.
- trans1.ps
- Least-squares finite-element solution of the neutron
transport equation in diffusive regimes, T. Manteuffel and K. Ressel, SIAM J. Num. Anal.
85 (1998), pp. 806-835.
- trans4.pdf
- A least-squares finite element method for the linear
Boltzmann equation with anisotropic scattering, T. Austin and
T. Manteuffel, SIAM J. Num. Anal. 44 (2006),
pp. 540-560.
- trans5.pdf
- Spatial multigrid for isotropic neutron transport,
B. Chang, T. Manteuffel, S. McCormick, J. Ruge, and B. Sheehan, SIAM J. Sci. Comp.
29 (2007), pp. 1900-1917.
- weighted.pdf
- Weighted-norm first-order system least squares for problems with
corner singularities, E. Lee, T. Manteuffel, and C. Westphal.