Anisotropic mesh adaptation for high-order finite elements spaces with the log-simplex method. Application to discontinuous Galerkin methods
DOI10.1016/j.jcp.2024.112774OpenAlexW4391069493WikidataQ129655867 ScholiaQ129655867MaRDI QIDQ6126555
Pierre Schrooyen, Adrien Loseille, Olivier Coulaud
Publication date: 9 April 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2024.112774
error estimatesdiscontinuous Galerkin methodshigh-order numerical schemesanisotropic metric based mesh adaptationhigh-order mesh adaptation
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Metric construction by length distribution tensor and edge based error for anisotropic adaptive meshing
- Anisotropic \(hp\)-adaptive discontinuous Galerkin method for the numerical solution of time dependent PDEs
- Adjoint-based anisotropic \(hp\)-adaptation for discontinuous Galerkin methods using a continuous mesh model
- Multigrid strategies for viscous flow solvers on anisotropic unstructured meshes
- Anisotropic mesh adaptation for finite volume and finite element methods on triangular meshes
- Anisotropic grid adaptation for functional outputs: application to two-dimensional viscous flows.
- A conservative staggered-grid Chebyshev multidomain method for compressible flows
- A priori error-based mesh adaptation in CFD
- An anisotropic \(h\)-adaptive strategy for discontinuous Petrov-Galerkin schemes using a continuous mesh model
- Periodic adjoints and anisotropic mesh adaptation in rotating frame for high-fidelity RANS turbomachinery applications
- An approximation of anisotropic metrics from higher order interpolation error for triangular mesh adaptation
- An optimization-based framework for anisotropic simplex mesh adaptation
- Anisotropic \(hp\)-adaptive method based on interpolation error estimates in the \(L^q\)-norm
- Anisotropic mesh adaptation for CFD computations
- Error estimation and anisotropic mesh refinement for 3D laminar aerodynamic flow simulations
- How a Nonconvergent Recovered Hessian Works in Mesh Adaptation
- Continuous Mesh Framework Part I: Well-Posed Continuous Interpolation Error
- Continuous Mesh Framework Part II: Validations and Applications
- Numerical comparison of some Hessian recovery techniques
- Linear Programming
- An Interpolation Error Estimate on Anisotropic Meshes in ${\mathcalR}^{n}$ and Optimal Metrics for Mesh Refinement
- An interpolation error estimate in $\mathcal{R}^2$ based on the anisotropic measures of higher order derivatives
- Optimal meshes for finite elements of arbitrary order
This page was built for publication: Anisotropic mesh adaptation for high-order finite elements spaces with the log-simplex method. Application to discontinuous Galerkin methods