A discontinuous Petrov-Galerkin method for compressible Navier-Stokes equations in three dimensions
DOI10.1016/j.camwa.2021.10.010OpenAlexW3207509522MaRDI QIDQ2239105
Adam Zdunek, Witold Cecot, Waldemar Rachowicz
Publication date: 2 November 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2021.10.010
finite element methoderror estimationcompressible Navier-Stokes equations\(h\)-adaptivitydiscontinuous Petrov-Galerkin
Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms
- Breaking spaces and forms for the DPG method and applications including Maxwell equations
- Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure
- An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation
- de Rham diagram for \(hp\) finite element spaces
- A DPG method for steady viscous compressible flow
- An adaptive DPG method for high frequency time-harmonic wave propagation problems
- Using a DPG method to validate DMA experimental calibration of viscoelastic materials
- Discrete least-squares finite element methods
- SUPG finite element computation of compressible flows with the entropy and conservation variables formulations
- A discontinuous Petrov-Galerkin methodology for adaptive solutions to the incompressible Navier-Stokes equations
- Robust DPG Method for Convection-Dominated Diffusion Problems
- An analysis of the practical DPG method
- Robust DPG Methods for Transient Convection-Diffusion
- A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
- Analysis of the DPG Method for the Poisson Equation
- An hp‐adaptive finite element method for electromagnetics—part II: A 3D implementation
- On the DPG method for Signorini problems
- An Adaptive Discontinuous Petrov--Galerkin Method for the Grad--Shafranov Equation
- Computing with hp-ADAPTIVE FINITE ELEMENTS