Convergence analysis of a new dynamic diffusion method
DOI10.1016/j.camwa.2021.06.012OpenAlexW3179591412MaRDI QIDQ2047602
Lucia Catabriga, Andrea M. P. Valli, Sandra M. C. Malta, Regina C. Almeida, Isaac P. Santos
Publication date: 20 August 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2021.06.012
stability analysisdynamic diffusion methoda priori error estimatesadvection-diffusion-reaction equations
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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Diffusion and convection (76R99)
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- Convergence of a residual based artificial viscosity finite element method
- Edge-based nonlinear diffusion for finite element approximations of convection-diffusion equations and its relation to algebraic flux-correction schemes
- A consistent approximate upwind Petrov-Galerkin method for convection- dominated problems
- Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. II: Analysis for \(P_{1}\) and \(Q_{1}\) finite elements
- A nonlinear subgrid method for advection-diffusion problems
- On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- The variational multiscale method -- a paradigm for computational mechanics
- Stabilized finite element methods with shock capturing for advection-diffusion problems
- On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation
- Numerical analysis of the nonlinear subgrid scale method
- Monotonicity-preserving finite element schemes based on differentiable nonlinear stabilization
- Blending low-order stabilised finite element methods: a positivity-preserving local projection method for the convection-diffusion equation
- A parameter-free dynamic diffusion method for advection-diffusion-reaction problems
- An adaptive Petrov-Galerkin formulation for the compressible Euler and Navier-Stokes equations
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Subgrid stabilization of Galerkin approximations of linear monotone operators
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Stabilization of Galerkin approximations of transport equations by subgrid modeling
- A residual-free bubble formulation for nonlinear elliptic problems with oscillatory coefficients
- Stabilized Galerkin approximation of convection-diffusion-reaction equations: discrete maximum principle and convergence
- Fully Computable Error Estimation of a Nonlinear, Positivity-Preserving Discretization of the Convection-Diffusion-Reaction Equation
- A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations
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