Adjoint Consistency Analysis of Discontinuous Galerkin Discretizations
From MaRDI portal
Publication:5302195
DOI10.1137/060665117zbMath1189.76341OpenAlexW1986997550MaRDI QIDQ5302195
Publication date: 6 January 2009
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/060665117
compressible Navier-Stokes equationscompressible Euler equationscontinuous adjoint problemdiscrete adjoint problem
Gas dynamics (general theory) (76N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items
Comparison of hybrid and standard discontinuous Galerkin methods in a mesh-optimisation setting, Goal-oriented anisotropic \(hp\)-adaptive discontinuous Galerkin method for the Euler equations, A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows, Output error estimation strategies for discontinuous Galerkin discretizations of unsteady convection-dominated flows, Simultaneous approximation terms and functional accuracy for diffusion problems discretized with multidimensional summation-by-parts operators, Non-linear Boltzmann equation on hybrid-unstructured non-conforming multi-domains, Analysis of finite-volume discrete adjoint fields for two-dimensional compressible Euler flows, Optimal test functions for boundary accuracy in discontinuous finite element methods, Generalized adjoint consistent treatment of wall boundary conditions for compressible flows, An adjoint view on flux consistency and strong wall boundary conditions to the Navier-Stokes equations, Analysis and development of adjoint-based h-adaptive direct discontinuous Galerkin method for the compressible Navier-Stokes equations, Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations, A comparison of hybridized and standard DG methods for target-based \textit{hp}-adaptive simulation of compressible flow, Error estimation and anisotropic mesh refinement for 3D laminar aerodynamic flow simulations, Interior penalties for summation-by-parts discretizations of linear second-order differential equations, Adjoint consistency analysis of residual-based variational multiscale methods, Dual consistency and functional accuracy: a finite-difference perspective, PDE-constrained optimization with error estimation and control, Space-time adaptive solution of inverse problems with the discrete adjoint method, Adjoint-based error estimation and mesh adaptation for the correction procedure via reconstruction method, Arbitrary high-order explicit hybridizable discontinuous Galerkin methods for the acoustic wave equation, Efficient goal-oriented global error estimators for BDF methods using discrete adjoints, An adjoint method for a high-order discretization of deforming domain conservation laws for optimization of flow problems, Energy dependent mesh adaptivity of discontinuous isogeometric discrete ordinate methods with dual weighted residual error estimators, Accurate high-order tensor-product generalized summation-by-parts discretizations of hyperbolic conservation laws: general curved domains and functional superconvergence, A goal-orientedhp-adaptive discontinuous Galerkin approach for biharmonic problems, Direct immersogeometric fluid flow and heat transfer analysis of objects represented by point clouds, A continuous \textit{hp}-mesh model for discontinuous Petrov-Galerkin finite element schemes with optimal test functions, Investigation of commutative properties of discontinuous Galerkin methods in PDE constrained optimal control problems, Goal-oriented error analysis of iterative Galerkin discretizations for nonlinear problems including linearization and algebraic errors, A robust, discrete-gradient descent procedure for optimisation with time-dependent PDE and norm constraints, A high-order semi-explicit discontinuous Galerkin solver for 3D incompressible flow with application to DNS and LES of turbulent channel flow, A statistical framework for domain shape estimation in Stokes flows, Adjoint algorithms for the Navier-Stokes equations in the low Mach number limit, A goal-oriented anisotropic \(hp\)-mesh adaptation method for linear convection-diffusion-reaction problems, Adjoint analysis of Buckley-Leverett and two-phase flow equations, On the adjoint-consistent formulation of interface conditions in goal-oriented error estimation and adaptivity for fluid-structure interaction, An optimization-based framework for anisotropic simplex mesh adaptation, A hybrid mixed method for the compressible Navier-Stokes equations, A Direct Discontinuous Galerkin Method with Interface Correction for the Compressible Navier-Stokes Equations on Unstructured Grids, Local enhancement of functional evaluation and adjoint error estimation for variational multiscale formulations, An equilibrated fluxes approach to the certified descent algorithm for shape optimization using conforming finite element and discontinuous Galerkin discretizations, Output-based adaptive aerodynamic simulations using convolutional neural networks, An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations, Stability and consistency of discrete adjoint implicit peer methods, On the algorithmic and implementational aspects of a discontinuous Galerkin method at finite strains, Adjoint-based error estimation and adaptive mesh refinement for the RANS and \(k-\omega\) turbulence model equations, Spatio-stochastic adaptive discontinuous Galerkin methods, Goal-oriented adaptivity for a conforming residual minimization method in a dual discontinuous Galerkin norm, Goal-oriented mesh adaptation method for nonlinear problems including algebraic errors, Adjoint-Based Adaptive Model and Discretization for Hyperbolic Systems with Relaxation, Adaptive mesh refinement for steady flows in Nek5000, Superconvergent functional estimates from tensor-product generalized summation-by-parts discretizations in curvilinear coordinates, Entropy-stable, high-order summation-by-parts discretizations without interface penalties, An adjoint-based hp-adaptive stabilized finite-element method with shock capturing for turbulent flows, Stability and functional superconvergence of narrow-stencil second-derivative generalized summation-by-parts discretizations, Duality based error estimation in the presence of discontinuities, A Goal-Oriented High-Order Anisotropic Mesh Adaptation Using Discontinuous Galerkin Method for Linear Convection-Diffusion-Reaction Problems, Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov--Galerkin Methods, An anisotropic \(h\)-adaptive strategy for discontinuous Petrov-Galerkin schemes using a continuous mesh model, Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua, Discretely exact derivatives for hyperbolic PDE-constrained optimization problems discretized by the discontinuous Galerkin method, Inexact Hessian-vector products in reduced-space differential-equation constrained optimization
Uses Software