Metric Construction for Error Control of Finite Element Solutions

[1]  Weiming Cao,et al.  An interpolation error estimate in &Ropf2 based on the anisotropic measures of higher order derivatives , 2008, Math. Comput..

[2]  Frédéric Hecht,et al.  Anisotropic unstructured mesh adaption for flow simulations , 1997 .

[3]  Adrien Loseille,et al.  Anisotropic Adaptive Simulations in Aerodynamics , 2010 .

[4]  Frédéric Alauzet,et al.  A decade of progress on anisotropic mesh adaptation for computational fluid dynamics , 2016, Comput. Aided Des..

[5]  V. Dolejší.  Anisotropic mesh adaptation for finite volume and finite element methods on triangular meshes , 1998 .

[6]  David L. Darmofal,et al.  An optimization-based framework for anisotropic simplex mesh adaptation , 2012, J. Comput. Phys..

[7]  Georg May,et al.  A continuous hp-mesh model for adaptive discontinuous Galerkin schemes☆ , 2018 .

[8]  D. Gartling.  A test problem for outflow boundary conditions—flow over a backward-facing step , 1990 .

[9]  Michael Woopen,et al.  A Unifying Computational Framework for Adaptive High-Order Finite Element Methods , 2015 .

[10]  Rainald Löhner,et al.  Error and work estimates for high‐order elements , 2011 .

[11]  Frédéric Alauzet,et al.  Continuous Mesh Framework Part I: Well-Posed Continuous Interpolation Error , 2011, SIAM J. Numer. Anal..

[12]  Vít Dolejší,et al.  Anisotropic hp-adaptive method based on interpolation error estimates in the Lq-norm☆ , 2014 .

[13]  J. Alonso,et al.  SU2: An Open-Source Suite for Multiphysics Simulation and Design , 2016 .

[14]  T. Coupez,et al.  Metric construction by length distribution tensor and edge based error for anisotropic adaptive meshing , 2011, J. Comput. Phys..

[15]  William F. Mitchell,et al.  A collection of 2D elliptic problems for testing adaptive grid refinement algorithms , 2013, Appl. Math. Comput..

[16]  Frédéric Alauzet,et al.  Continuous Mesh Framework Part II: Validations and Applications , 2011, SIAM J. Numer. Anal..

[17]  Georg May,et al.  Mesh Adaptation and Optimization for Discontinuous Galerkin Methods Using a Continuous Mesh Model , 2016 .

[18]  Frédéric Alauzet,et al.  Achievement of Global Second Order Mesh Convergence for Discontinuous Flows with Adapted Unstructured Meshes , 2007 .

[19]  David L. Darmofal,et al.  An Optimization Framework for Anisotropic Simplex Mesh Adaptation: Application to Aerodynamic Flows , 2012 .

[20]  Rainald Löhner,et al.  Improved error and work estimates for high‐order elements , 2013 .