Preconditioned iterative methods for the convective FitzHugh-Nagumo equations

DOI10.1016/j.camwa.2020.10.016OpenAlexW3104926178MaRDI QIDQ2214456

Guo-Feng Zhang, Rui-Xia Li

Publication date: 8 December 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.10.016

zbMATH Keywords

preconditioningspectral propertiesKrylov subspace methodFitzHugh-Nagumo equation

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Existence theories for optimal control problems involving partial differential equations (49J20) Preconditioners for iterative methods (65F08)

Uses Software

• IFISS

Cites Work

• A note on preconditioners for complex linear systems arising from PDE-constrained optimization problems
• Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems
• A comparison of iterative methods to solve complex valued linear algebraic systems
• Numerical simulation of the FitzHugh-Nagumo equations
• Optimizing and improving of the C-to-R method for solving complex symmetric linear systems
• Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems
• A block product preconditioner for saddle point problems
• A robust structured preconditioner for time-harmonic parabolic optimal control problems
• Block triangular preconditioners for symmetric saddle-point problems
• A note on preconditioner for the Ohta-Kawasaki equation
• Reduced order optimal control of the convective FitzHugh-Nagumo equations
• On block diagonal and block triangular iterative schemes and preconditioners for stabilized saddle point problems
• Block triangular preconditioners based on symmetric-triangular decomposition for generalized saddle point problems
• A block alternating splitting iteration method for a class of block two-by-two complex linear systems
• Optimal control of convective FitzHugh-Nagumo equation
• A Note on Preconditioning Nonsymmetric Matrices
• A new approximation of the Schur complement in preconditioners for PDE-constrained optimization
• A splitting preconditioner for saddle point problems
• Structured preconditioners for nonsingular matrices of block two-by-two structures
• Numerical solution of saddle point problems
• Symmetric Indefinite Preconditioners for Saddle Point Problems with Applications to PDE-Constrained Optimization Problems
• Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
• Algorithm 866
• Constraint Preconditioners for Symmetric Indefinite Matrices
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• An explicit nonstandard finite difference scheme for the FitzHugh–Nagumo equations
• Constraint-Style Preconditioners for Regularized Saddle Point Problems
• On Inexact Preconditioners for Nonsymmetric Matrices
• A Preconditioner for the Ohta--Kawasaki Equation
• A New Preconditioning Strategy for Solving a Class of Time-Dependent Pde-Constrained Optimization Problems

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