A partition of unity approach to adaptivity and limiting in continuous finite element methods
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[1] Igor Savostianov,et al. Error Analysis of Explicit Partitioned Runge–Kutta Schemes for Conservation Laws , 2013, J. Sci. Comput..
[2] Gabriel R. Barrenechea,et al. An algebraic flux correction scheme satisfying the discrete maximum principle and linearity preservation on general meshes , 2017 .
[3] Dmitri Kuzmin,et al. The Reference Solution Approach to Hp-Adaptivity in Finite Element Flux-Corrected Transport Algorithms , 2013, LSSC.
[4] Dmitri Kuzmin,et al. A parameter-free smoothness indicator for high-resolution finite element schemes , 2013 .
[5] Ivo Dolezel,et al. Arbitrary-level hanging nodes and automatic adaptivity in the hp-FEM , 2008, Math. Comput. Simul..
[6] Jean-Luc Guermond,et al. Invariant Domains and Second-Order Continuous Finite Element Approximation for Scalar Conservation Equations , 2017, SIAM J. Numer. Anal..
[7] Tim N. T. Goodman. Further variation diminishing properties of Bernstein polynomials on triangles , 1987 .
[8] James D. Baeder,et al. Concepts and Application of Time-Limiters to High Resolution Schemes , 2003, J. Sci. Comput..
[9] Dmitri Kuzmin,et al. An $$hp$$-adaptive flux-corrected transport algorithm for continuous finite elements , 2012, Computing.
[10] Gabriel R. Barrenechea,et al. Analysis of Algebraic Flux Correction Schemes , 2015, SIAM J. Numer. Anal..
[11] I. Doležel,et al. Higher-Order Finite Element Methods , 2003 .
[12] Alessandro Russo,et al. On the choice of a stabilizing subgrid for convection?diffusion problems , 2005 .
[13] Santiago Badia,et al. Monotonicity-preserving finite element schemes based on differentiable nonlinear stabilization , 2016, ArXiv.
[14] Jean-Luc Guermond,et al. A correction technique for the dispersive effects of mass lumping for transport problems , 2013 .
[15] Daniil Svyatskiy,et al. A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems , 2009, J. Comput. Phys..
[16] P. Knabner,et al. Numerical Methods for Elliptic and Parabolic Partial Differential Equations , 2003, Texts in Applied Mathematics.
[17] I. Babuska,et al. The partition of unity finite element method: Basic theory and applications , 1996 .
[18] Marsha J. Berger,et al. An Explicit Implicit Scheme for Cut Cells in Embedded Boundary Meshes , 2015, J. Sci. Comput..
[19] Robert C. Kirby,et al. Fast simplicial finite element algorithms using Bernstein polynomials , 2011, Numerische Mathematik.
[20] C Thompson,et al. Applied CFD techniques: An introduction based on finite element methods , 2002 .
[21] Gabriel R. Barrenechea,et al. Edge-based nonlinear diffusion for finite element approximations of convection–diffusion equations and its relation to algebraic flux-correction schemes , 2015, Numerische Mathematik.
[22] Colin B. Macdonald,et al. Spatially Partitioned Embedded Runge-Kutta Methods , 2013, SIAM J. Numer. Anal..
[23] Wolfgang Bangerth,et al. Data structures and requirements for hp finite element software , 2009, TOMS.
[24] A. Huerta,et al. Finite Element Methods for Flow Problems , 2003 .
[25] Cornelis Vuik,et al. A local theta scheme for advection problems with strongly varying meshes and velocity profiles , 2008 .
[26] Jeffrey W. Banks,et al. A stable and accurate partitioned algorithm for conjugate heat transfer , 2017, J. Comput. Phys..
[27] Hans D. Mittelmann,et al. Some remarks on the discrete maximum-principle for finite elements of higher order , 1981, Computing.
[28] T. Brunner. PRESERVING POSITIVITY OF SOLUTIONS TO THE DIFFUSION EQUATION FOR HIGHER-ORDER FINITE ELEMENTS IN UNDER RESOLVED REGIONS , 2015 .
[29] R. Abgrall,et al. High Order Schemes for Hyperbolic Problems Using Globally Continuous Approximation and Avoiding Mass Matrices , 2017, J. Sci. Comput..
[30] John N. Shadid,et al. Flux-corrected transport algorithms for continuous Galerkin methods based on high order Bernstein finite elements , 2017, J. Comput. Phys..
[31] Mark Ainsworth,et al. Bernstein-Bézier Finite Elements of Arbitrary Order and Optimal Assembly Procedures , 2011, SIAM J. Sci. Comput..