Publications
A.T. Patera and E.M. Rønquist,
Regression on parametric manifolds: estimation of spatial fields, functional outputs, and parameters from noisy data.
Submitted to Comptes Rendus de l'Academie des Sciences - Series I (2012).

J.L. Eftang, D.B.P. Huynh, D.J. Knezevic, E.M. Rønquist, and A.T. Patera,
Adaptive port reduction in static condensation,
Proceedings of 7th Vienna Conference on Mathematical Modelling - MATHMOD 2012
(submitted December 2011).

J.L. Eftang, M.A. Grepl, E.M. Rønquist and A.T. Patera,
Approximation of parametric derivatives by the empirical interpolation method.
Submitted to Foundations of Computational Mathematics, 2011.

J.S. Hesthaven and E.M. Rønquist (Editors),
Spectral and High Order Methods for Partial Differential Equations,
Lecture Notes in Computational Science and Engineering, Vol. 76, Springer, 2011.

A.M. Kvarving, T. Bjøntegaard and E.M. Rønquist,
On pattern selection in three-dimensional Benard-Marangoni flows,
Communications in Computational Physics, Vol. 11, pp. 893-924, 2012,
DOI: 10.4208/cicp.280610.060411a.

A.M. Kvarving and E.M. Rønquist,
A fast tensor-product solver for incompressible fluid flow
in partially deformed three-deformed domains: Parallel implementation.
Computers & Fluids, Vol. 52, pp. 22-32, 2011.

Ø. Tråsdahl and E.M. Rønquist,
High order numerical approximation of minimal surfaces.
Journal of Computational Physics, Vol. 230, Issue 12, pp. 4795-4810, 2011.

T. Bjøntegaard, E.M. Rønquist and Ø. Tråsdahl,
Spectral approximation of partial differential equations in highly distorted domains,
Journal of Scientific Computing , in press, DOI 10.1007/s10915-011-9561-8.

J.L. Eftang, A.T. Patera and E.M. Rønquist,
An "hp" certified reduced basis method for parametrized elliptic partial differential equations.
SIAM Journal on Scientific Computing, Vol. 32, Issue 6, pp. 3170-3200, 2010.

T. Bjøntegaard, E.M. Rønquist and Ø. Tråsdahl,
High order polynomial interpolation of parametrized curves.
J.S. Hesthaven and E.M. Rønquist (eds.), Spectral and High Order Methods for PDEs,
Lecture Notes in Computational Science and Engineering Vol. 76, Springer, pp. 365-372, 2011.

J.L. Eftang, A.T. Patera and E.M. Rønquist,
An "hp" certified reduced basis method for parametrized parabolic partial differential equations.
J.S. Hesthaven and E.M. Rønquist (eds.), Spectral and High Order Methods for PDEs,
Lecture Notes in Computational Science and Engineering Vol. 76, Springer, pp. 179-187, 2011.

J.L. Eftang and E.M. Rønquist,
Evaluation of flux integral outputs for the reduced basis method.
Mathematical Models and Methods in Applied Sciences (M3AS), Vol. 20, No. 3, pp. 351-374, 2010.

A.E. Løvgren, Y. Maday and E.M. Rønquist,
Global C¹ maps on general domains.
Mathematical Models and Methods in Applied Sciences (M3AS), Vol. 19, No. 5, pp. 803-832, 2009.

T. Bjøntegaard and E.M. Rønquist,
Accurate interface tracking for arbitrary Lagrangian-Eulerian schemes.
Journal of Computational Physics , Vol. 228, No. 12, pp. 4379-4399, 2009.

T. Bjøntegaard and E.M. Rønquist,
Simulation of three-dimensional Benard-Marangoni flows including deformed surfaces
Communications in Computational Physics , Vol. 5, pp. 273-295, 2009.

T. Bjøntegaard, Y. Maday, and E.M. Rønquist,
Fast tensor-product solvers: Partially deformed three-dimensional domains.
Journal of Scientific Computing, Vol. 39, Issue 1, pp. 28-48, 2009.

T. Bjøntegaard and E.M. Rønquist,
A high order splitting method for time-dependent domains.
Computer Methods in Applied Mechanics and Engineering , Vol. 197, pp. 4763-4773, 2008.

Y. Maday and E.M. Rønquist,
Parallelization in time through space-time solvers.
C. R. Acad. Sci. Paris, Ser. I, Vol. 346, pp. 113-118, 2008.

A.T. Patera and E.M. Rønquist,
Reduced basis approximation and a posteriori error estimation for a Boltzmann model.
Computer Methods in Applied Mechanics and Engineering, Vol. 196, Nos. 29-30, pp. 2925-2942, 2007.

T. Bjøntegaard and E.M. Rønquist,
High order methods for incompressible flow: Application to free surface problems.
in Proceedings of the Fourth National Conference on Computational Mechanics,
edited by B. Skullerud and H.I. Andersson, Tapir Academic Press, 2007.

A.E. Løvgren, Y. Maday and E.M. Rønquist,
The reduced basis element method for fluid flows.
In Analysis and Simulation of Fluid Dynamics, edited by C. Calgaro, j.-F. Coulombel, and T. Goudon,
Advances in Mathematical Fluid Mechanics , Birkauser, pp. 129-154, 2007.

A.E. Løvgren, Y. Maday and E.M. Rønquist,
A reduced basis element method for complex fluid systems,
in Proceedings European Conference on Computational Fluid Dynamics,
ECCOMAS CFD 2006, P.Wesseling, E. Onate, J. Periaux (Editors), 2006.

A.E. Løvgren, Y. Maday and E.M. Rønquist,
A reduced basis element method for the steady Stokes problem,
Mathematical Modelling and Numerical Analysis (M2AN), Vol 40, No. 3, pp. 529-552, 2006.

A.E. Løvgren, Y. Maday and E.M. Rønquist,
A reduced basis element method for the steady Stokes problem: application to hierarchical flow systems,
Modeling, Identification and Control, Vol. 27, No. 2., pp. 79-94, 2006.

P.S. Johansson, H.I. Andersson and E.M. Rønquist,
Reduced-basis modeling of turbulent plane channel flow,
Computers & Fluids, Vol. 35, Issue 2, pp. 189-207, 2006.

Gunnar A. Staff and E.M. Rønquist, Stability of the parareal algorithm,
in Proceedings of the 15th International Conference on Domain Decomposition Methods (Berlin 2003),
Lecture Notes in Computational Science and Engineering , Vol. 40, Springer, 2004.

E.M. Rønquist, Spectral element methods,
in Proceedings of the Second National Conference on Computational Mechanics,
edited by B. Skullerud and H.I. Andersson, Tapir Academic Press, 2003.

Y. Maday and E.M. Rønquist, The reduced-basis element method: application to a thermal fin problem,
SIAM Journal on Scientific Computing, Vol. 26, No. 1, pp. 240-258, 2004.

Y. Maday and E.M. Rønquist, A reduced-basis element method,
Journal of Scientific Computing, Vol. 17, Nos. (1-4), pp. 447-459, 2002.

Y. Maday and E.M. Rønquist, A reduced-basis element method,
C. R. Acad. Sci. Paris, Ser. I, Vol. 335, pp. 195-200, 2002.

A.T. Patera and E.M. Rønquist, A General Output Bound Result:
Application to Discretization and Iteration Error Estimation and Control,
Mathematical Models and Methods in Applied Sciences (M3AS), Vol. 11, No. 4, 685-712, 2001.

E.M. Rønquist, Domain Decomposition Methods for the Steady Stokes Equations,
in Proceedings of the Eleventh International Conference on Domain Decomposition Methods
(conference held in Greenwich, London, July 1998),
edited by C.-H. Lai, P.E. Bjørstad, M. Cross and O.B. Widlund, DDM.org, 1999.

E.M. Rønquist, The Design of a Finite Element / Spectral Element Code for Incompressible Fluid Flow,
in Proceedings of the 1998 SIAM Workshop on Object Oriented Methods for Interoperable Scientific
and Engineering Computing (workshop held at IBM TJ Watson Research Center, October 1998),
edited by M.E. Henderson, C.R. Anderson and S.L. Lyons, SIAM, 1999.

A. Deane & S. Sakimoto (NASA), E. Rønquist & E. Bullister (Nektonics),
Parallel Spectral Element Simulations in Earth and Space Sciences,
in Proceedings of the International Conference on High Performance Computing
(conference held in Bangalore, India, December 1997); see http://hipc.org/hipc97/total.html

E.M. Rønquist, A Domain Decomposition Solver for Three-Dimensional Steady Free Surface Flows,
in Proceedings of the Ninth Conference on Domain Decompostion Methods for PDE's
(conference held in Norway, June 1996), DDM.org, 1998.

E.M. Rønquist, A Domain Decomposition Solver for the Steady Navier-Stokes Equations,
in Proceedings of the Third International Conference on Spectral and High-Order Methods
(conference held in Houston, Texas, June 1995), edited by Andrew Ilin and Ridgway Scott,
Houston Journal of Mathematics, 1996.

E.M. Rønquist, Convection Treatment Using Spectral Elements of Different Order,
International Journal of Numerical Methods in Fluids, Vol. 22, 241-264, 1996.

Y. Maday and E.M. Rønquist, Spectral Element Approximation of Curved Geometries,
in Computational Fluid Dynamics Review 1995, edited by M.M. Hafez and K. Oshima, Wiley, 1995.

P.F. Fischer and E.M. Rønquist, Spectral Element Methods for Large Scale Parallel Navier-Stokes Calculations,
Computer Methods in Applied Mechanics and Engineering, Vol. 116, 69-76, 1994.

L.W. Ho and E.M. Rønquist, Spectral Element Solution of Steady Incompressible Viscous Free-Surface Flows,
Finite Elements in Analysis and Design, Vol. 16, 207-227, 1994.

Y. Maday, D. Meiron, A.T. Patera and E.M. Rønquist, Analysis of Iterative Methods for
the Steady and Unsteady Stokes Problem: Application to Spectral Element Discretizations,
SIAM Journal of Scientific and Statistical Computing, Vol. 14, No. 2, 310-337, 1993.

E.T. Bullister, L.W. Ho and E.M. Rønquist, Accurate Calculation of Free Surface Flows using the
Spectral Element Method, FED-Vol. 137, Advances in Finite Element Analysis in Fluid Dynamics, ASME, 1992.

G.E. Karniadakis, S.A. Orszag, E.M. Rønquist and A.T. Patera, Spectral Element and
Lattice Gas Methods for Incompressible Fluid Dynamics in Incompressible Fluid Dynamics,
edited by M.D. Gunzburger and R.A. Nicolaides, Cambridge University Press, 203-266, 1993.

Y. Maday, A.T. Patera and E.M. Rønquist, The ${P_N}\times {P_{N-2}}$ Method for the
Approximation of the Stokes Problem, Technical Report No. 92009,
Department of Mechanical Engineering, Massachusetts Institute of Technology, 1992.

G. Anagnostou, E.M. Rønquist and A.T. Patera, A Computational Procedure for Part Design,
Computer Methods in Applied Mechanics and Engineering, Vol. 97, 33-48, 1992.
Also published in Very Large Scale Computation in the 21st Century, edited by J.P. Mesirov, SIAM, 1991.

Y. Maday, R. Munoz, A.T. Patera and E.M. Rønquist, Spectral Element Multigrid Methods,
in Proceedings of the International Symposium on Iterative Methods in Linear Algebra,
Brussels, Belgium, IMACS, 1991.

E.M. Rønquist, A Domain Decomposition Method for Elliptic Boundary Value Problems:
Appliciation to Unsteady Incompressible Fluid Flow, in Proceedings of the Fifth International
Symposium on Domain Decompostion Methods for Partial Differential Equations
(symposium held in Norfolk, Virginia, May 1991), SIAM, 545-557, 1992.

G. Anagnostou, P.F. Fischer, Y. Maday, E.M. Rønquist and A.T. Patera,
Numerical Simulation of Incompressible Fluid Flows.
Concurrency: Practice and Experience, Vol. 3, No. 6, 667-685, 1991.

Y. Maday, A.T. Patera and E.M. Rønquist, Operator-Integration-Factor Methods for
Time-Dependent Problems: Application to Incompressible Fluid Flows,
Journal of Scientific Computing, Vol. 5, No. 4, 263-292, 1990.

L.W. Ho, Y. Maday, A.T. Patera and E.M. Rønquist, A High-Order Lagrangian-Decoupling
Method for the Incompressible Navier-Stokes Equations,
Computer Methods in Applied Mechanics and Engineering, Vol. 80, 65-90, 1990.

Y. Maday and E.M. Rønquist, Optimal Error Analysis of Spectral Methods with
Emphasis on Non-Constant Coefficients and Deformed Geometries,
Computer Methods in Applied Mechanics and Engineering, Vol. 80, 91-115, 1990.

P.F. Fischer, E.M. Rønquist and A.T. Patera,
Parallel Spectral Element Methods for the Incompressible Navier-Stokes Equations,
in Parallel Supercomputing: Methods, Algorithms and Applications,
edited by G. Carey, Wiley, 223-238, 1989.

P.F. Fischer, L.W. Ho, G.E. Karniadakis, E.M. Rønquist and A.T. Patera,
Recent Advances in Parallel Spectral Element Simulation of Unsteady Incompressible Flows,
Computers and Structures, Vol. 30, No 1/2, 217-231, 1988.

E.M. Rønquist and A.T. Patera, A Legendre Spectral Element Method for the
Incompressible Navier-Stokes Equations, in the Proceedings of the Seventh GAMM-Conference
on Numerical Methods in Fluid Mechanics (conference held in Lovain-la-Neuve, Belgium),
edited by M. Deville, Vieweg, 318-326, 1988.

E.M. Rønquist and A.T. Patera,
Spectral Element Multigrid. I. Formulation and Numerical Results,
Journal of Scientific Computing, Vol. 2, No. 4, 389-406, 1987.

E.M. Rønquist and A.T. Patera,
A Legendre Spectral Element Method for the Stefan Problem,
International Journal of Numerical Methods in Engineering, Vol. 24, 2273-2299, 1987.

E.M. Rønquist and T. Sira,
A Boundary Element Solution to the Problem of Interacting A.C. Fields in Parallel Conductors,
Engineering Analysis, Vol. 1, No. 4, 230-234, 1984.

Last modified: Fri Dec 25 15:47:17 MET 2009