Modified equation based mesh adaptation algorithm for evolutionary scalar partial differential equations
DOI10.1002/num.22860OpenAlexW4200500026WikidataQ114235157 ScholiaQ114235157MaRDI QIDQ6069499
Ritesh Kumar Dubey, Prabhat K. Mishra
Publication date: 16 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22860
evolutionary equationsfinite difference schemesmesh adaptationmodified equation analysisdata dependent stability
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)
Cites Work
- Unnamed Item
- Unnamed Item
- Flux limited schemes: their classification and accuracy based on total variation stability regions
- Moving mesh methods with upwinding schemes for time-dependent PDEs
- An adaptive meshfree spectral graph wavelet method for partial differential equations
- A numerical method based on Crank-Nicolson scheme for Burgers' equation
- High resolution schemes for hyperbolic conservation laws
- Simple adaptive grids for 1-D initial value problems
- The modified equation approach to the stability and accuracy analysis of finite-difference methods
- A review on TVD schemes and a refined flux-limiter for steady-state calculations
- High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments
- A fast adaptive diffusion wavelet method for Burger's equation
- Mesh redistribution strategies and finite element schemes for hyperbolic conservation laws
- Heuristic stability theory for finite-difference equations
- A Moving Mesh Method for One-dimensional Hyperbolic Conservation Laws
- Heuristic Modified Equation Analysis on Oscillations in Numerical Solutions of Conservation Laws
- Domain Decomposition Approaches for Mesh Generation via the Equidistribution Principle
- High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
- Moving Finite Elements. I
- High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
- A Moving Finite Element Method with Error Estimation and Refinement for One-Dimensional Time Dependent Partial Differential Equations
- On finite-difference approximations and entropy conditions for shocks
- Stability of Moving Mesh Systems of Partial Differential Equations
- Computational Gasdynamics
- Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
- Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
- Numerical Solution of Partial Differential Equations
- Adaptive mesh reconstruction for hyperbolic conservation laws with total variation bound
- New approach to the Lax‐Wendroff modified differential equation for linear and nonlinear advection
This page was built for publication: Modified equation based mesh adaptation algorithm for evolutionary scalar partial differential equations
