SUPG reduced order models for convection-dominated convection–diffusion–reaction equations
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Traian Iliescu | Volker John | Swetlana Giere | David Wells | T. Iliescu | V. John | D. Wells | S. Giere
[1] Zhu Wang,et al. Are the Snapshot Difference Quotients Needed in the Proper Orthogonal Decomposition? , 2013, SIAM J. Sci. Comput..
[2] Thomas J. R. Hughes,et al. What are C and h ?: inequalities for the analysis and design of finite element methods , 1992 .
[3] Volker John,et al. Finite element methods for time-dependent convection – diffusion – reaction equations with small diffusion , 2008 .
[4] G. Karniadakis,et al. A spectral viscosity method for correcting the long-term behavior of POD models , 2004 .
[5] Traian Iliescu,et al. A numerical investigation of velocity-pressure reduced order models for incompressible flows , 2014, J. Comput. Phys..
[6] M. Stynes,et al. Robust Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion-Reaction and Flow Problems , 1996 .
[7] S. Volkwein,et al. MODEL REDUCTION USING PROPER ORTHOGONAL DECOMPOSITION , 2008 .
[8] Charbel Farhat,et al. Stabilization of projection‐based reduced‐order models , 2012 .
[9] J. Guermond. Stabilization of Galerkin approximations of transport equations by subgrid modelling , 1999 .
[10] Nadine Aubry,et al. Preserving Symmetries in the Proper Orthogonal Decomposition , 1993, SIAM J. Sci. Comput..
[11] Matthew F. Barone,et al. Stable Galerkin reduced order models for linearized compressible flow , 2009, J. Comput. Phys..
[12] Volker John,et al. Error Analysis of the SUPG Finite Element Discretization of Evolutionary Convection-Diffusion-Reaction Equations , 2011, SIAM J. Numer. Anal..
[13] Ramon Codina,et al. Explicit reduced‐order models for the stabilized finite element approximation of the incompressible Navier–Stokes equations , 2013 .
[14] John R. Singler,et al. New POD Error Expressions, Error Bounds, and Asymptotic Results for Reduced Order Models of Parabolic PDEs , 2014, SIAM J. Numer. Anal..
[15] Luca Dedè,et al. Reduced Basis method for parametrized elliptic advection-reaction problems , 2010 .
[16] Traian Iliescu,et al. Variational multiscale proper orthogonal decomposition: Navier‐stokes equations , 2012, 1210.7389.
[17] Christopher J. Earls,et al. International Journal for Numerical Methods in Engineering , 2009 .
[18] Nadine Aubry,et al. The dynamics of coherent structures in the wall region of a turbulent boundary layer , 1988, Journal of Fluid Mechanics.
[19] Philippe G. Ciarlet,et al. The finite element method for elliptic problems , 2002, Classics in applied mathematics.
[20] T. Hughes,et al. MULTI-DIMENSIONAL UPWIND SCHEME WITH NO CROSSWIND DIFFUSION. , 1979 .
[21] T. Hughes,et al. Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations , 1990 .
[22] Torsten Linß,et al. Numerical methods on Shishkin meshes for linear convection-diffusion problems , 2001 .
[23] Gilead Tadmor,et al. Reduced-Order Modelling for Flow Control , 2013 .
[24] G. Rozza,et al. Stabilized reduced basis method for parametrized advection-diffusion PDEs , 2014 .
[25] Traian Iliescu,et al. Proper orthogonal decomposition closure models for turbulent flows: A numerical comparison , 2011, 1106.3585.
[26] L. Sirovich. Turbulence and the dynamics of coherent structures. I. Coherent structures , 1987 .
[27] Karin Rothschild,et al. A Course In Functional Analysis , 2016 .
[28] Volker John,et al. An assessment of discretizations for convection-dominated convection–diffusion equations , 2011 .
[29] Charles-Henri Bruneau,et al. Enablers for robust POD models , 2009, J. Comput. Phys..
[30] Wolfgang Dahmen,et al. DOUBLE GREEDY ALGORITHMS: REDUCED BASIS METHODS FOR TRANSPORT DOMINATED PROBLEMS ∗ , 2013, 1302.5072.
[31] L. Sirovich. Turbulence and the dynamics of coherent structures. III. Dynamics and scaling , 1987 .
[32] Volker John,et al. On Finite Element Methods for 3D Time-Dependent Convection-Diffusion-Reaction Equations with Small Diffusion , 2008 .
[33] Jean-Antoine Désidéri,et al. Two stable POD-based approximations to the Navier–Stokes equations , 2000 .
[34] Volker John,et al. On spurious oscillations at layers diminishing (SOLD) methods for convection–diffusion equations: Part I – A review , 2007 .
[35] Stefan Volkwein,et al. Galerkin proper orthogonal decomposition methods for parabolic problems , 2001, Numerische Mathematik.
[36] P. Holmes,et al. Turbulence, Coherent Structures, Dynamical Systems and Symmetry , 1996 .
[37] Gianluigi Rozza,et al. Model Order Reduction in Fluid Dynamics: Challenges and Perspectives , 2014 .
[38] Matthew F. Barone,et al. Stabilization of projection-based reduced order models for linear time-invariant systems via optimization-based eigenvalue reassignment , 2014 .
[39] Yintzer Shih,et al. An exponential-fitting finite element method for convection-diffusion problems , 2011, Appl. Math. Comput..
[40] K. Kunisch,et al. Control of the Burgers Equation by a Reduced-Order Approach Using Proper Orthogonal Decomposition , 1999 .
[41] Gunar Matthies,et al. MooNMD – a program package based on mapped finite element methods , 2004 .
[42] Earl H. Dowell,et al. Stabilization of projection-based reduced order models of the Navier–Stokes , 2012 .