Convergence analysis for forward and inverse problems in singularly perturbed time-dependent reaction-advection-diffusion equations
DOI10.1016/j.jcp.2022.111609OpenAlexW3174305635MaRDI QIDQ2083695
Publication date: 11 October 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.15249
convergence ratesinverse problemregularizationerror estimationreaction-diffusion-advection equationsingularly perturbed PDE
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Miscellaneous topics in partial differential equations (35Rxx) Parabolic equations and parabolic systems (35Kxx)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reaction-diffusion-advection models for the effects and evolution of dispersal
- A modified coupled complex boundary method for an inverse chromatography problem
- Asymptotics of the front motion in the reaction-diffusion-advection problem
- Numerical simulation of the coagulation dynamics of blood
- Asymptotic theory of contrast structures (review)
- A Petrov-Galerkin formulation for advection-reaction-diffusion problems
- Qualitatively stable finite difference schemes for advection--reaction equations.
- ADER: Arbitrary high-order Godunov approach
- An inverse source problem for singular parabolic equations with interior degeneracy
- On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation
- Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation
- Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front
- Solving of the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction-diffusion equation with the location of moving front data
- Solving of the coefficient inverse problems for a nonlinear singularly perturbed reaction-diffusion-advection equation with the final time data
- Asymptotic solution of coefficient inverse problems for Burgers-type equations
- Numerical and analytical study of an atherosclerosis inflammatory disease model
- Existence and asymptotic stability of periodic solutions with an interior layer of reaction-advection-diffusion equations
- Modeling and simulation of pollutants transport in rivers
- An adaptive stabilized finite element scheme for the advection-reaction-diffusion equation
- Asymptotic solution of the inverse problem for restoring the modular type source in Burgers' equation with modular advection
- Some features of solving an inverse backward problem for a generalized Burgers' equation
- Inverse Problems Light: Numerical Differentiation
- A regularization method for the reconstruction of adsorption isotherms in liquid chromatography
- ANALYSIS OF A FINITE-DIFFERENCE SCHEME FOR A LINEAR ADVECTION–DIFFUSION–REACTION EQUATION
- A Stochastic Weighted Particle Method for Coagulation--Advection Problems
- Numerical simulation of the haemodynamics in end-to-side anastomoses
- High-order numerical methods for one-dimensional parabolic singularly perturbed problems with regular layers
- Error estimation for ill-posed problems on piecewise convex functions and sourcewise represented sets
- A regularizing Kohn–Vogelius formulation for the model-free adsorption isotherm estimation problem in chromatography
- Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method
- Hyperasymptotics and the Linear Boundary Layer Problem: Why Asymptotic Series Diverge
- An adjoint method in inverse problems of chromatography
This page was built for publication: Convergence analysis for forward and inverse problems in singularly perturbed time-dependent reaction-advection-diffusion equations