Positivity preserving temporal second-order spatial fourth-order conservative characteristic methods for convection dominated diffusion equations
DOI10.1016/j.camwa.2023.08.032MaRDI QIDQ6072944
Publication date: 13 October 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)
Cites Work
- Unnamed Item
- Unnamed Item
- A mass-conservative characteristic finite element scheme for convection-diffusion problems
- Positivity preserving high-order local discontinuous Galerkin method for parabolic equations with blow-up solutions
- On the monotonicity and discrete maximum principle of the finite difference implementation of \(C^0\)-\(Q^2\) finite element method
- A semi-Lagrangian discontinuous Galerkin (DG)-local DG method for solving convection-diffusion equations
- The piecewise parabolic method (PPM) for gas-dynamical simulations
- The characteristic streamline diffusion method for convection-diffusion problems
- A characteristics mixed finite element method of numerical simulation for 2-phase immiscible flow
- Zur Inversmonotonie diskreter Probleme
- The time second order mass conservative characteristic FDM for advection-diffusion equations in high dimensions
- Positive and free energy satisfying schemes for diffusion with interaction potentials
- Superconvergence of \(C^0-Q^k\) finite element method for elliptic equations with approximated coefficients
- Superconvergence of high order finite difference schemes based on variational formulation for elliptic equations
- A two-grid combined finite element-upwind finite volume method for a nonlinear convection-dominated diffusion reaction equation
- The conservative characteristic FD methods for atmospheric aerosol transport problems
- Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes
- A semi-Lagrangian discontinuous Galerkin method for scalar advection by incompressible flows
- A positivity preserving characteristic finite element method for solving the transport and convection-diffusion-reaction equations on general surfaces
- A characteristic centred finite difference method for a 2D air pollution model
- Some Improved Error Estimates for the Modified Method of Characteristics
- Monotone Finite Volume Schemes of Nonequilibrium Radiation Diffusion Equations on Distorted Meshes
- Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
- Inversion of block-circulant matrices and circular array approach
- An Approximation to Miscible Fluid Flows in Porous Media with Point Sources and Sinks by an Eulerian--Lagrangian Localized Adjoint Method and Mixed Finite Element Methods
- A Characteristics-Mixed Finite Element Method for Advection-Dominated Transport Problems
- A Galerkin-Characteristic Algorithm for Transport-Diffusion Equations
- Mass conservative characteristic finite difference method for convection–diffusion equations
- Conservative Multimoment Transport along Characteristics for Discontinuous Galerkin Methods
- A Mass-Conservative Temporal Second Order and Spatial Fourth Order Characteristic Finite Volume Method for Atmospheric Pollution Advection Diffusion Problems
- A New Error Analysis of Characteristics-Mixed FEMs for Miscible Displacement in Porous Media
- High Order Maximum-Principle-Preserving Discontinuous Galerkin Method for Convection-Diffusion Equations
This page was built for publication: Positivity preserving temporal second-order spatial fourth-order conservative characteristic methods for convection dominated diffusion equations
