Reconstruction of a space-dependent coefficient in a linear Benjamin-Bona-Mahony type equation
DOI10.1515/cmam-2019-0031zbMath1477.65153OpenAlexW3135673586MaRDI QIDQ823679
Juan Carlos Muñoz Grajales, Anibal Sosa, Felipe Alexander Pipicano
Publication date: 16 December 2021
Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/cmam-2019-0031
Numerical optimization and variational techniques (65K10) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Finite element methods applied to problems in solid mechanics (74S05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50) Method of lines for boundary value problems involving PDEs (65N40)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear total variation based noise removal algorithms
- Identification of an unknown coefficient in KdV equation from final time measurement
- Well-posedness of boundary-value problems for the linear Benjamin-Bona-Mahony equation
- On the determination of the principal coefficient from boundary measurements in a KdV equation
- An inverse problem for the KdV equation with Neumann boundary measured data
- Automated solution of differential equations by the finite element method. The FEniCS book
- Rothe's method for the heat equation and boundary integral equations
- Unique continuation for the linearized Benjamin-Bona-Mahony equation with space-dependent potential
- Automating the finite element method
- Automated Derivation of the Adjoint of High-Level Transient Finite Element Programs
- DOLFIN
- A new solution representation for the BBM equation in a quarter plane and the eventual periodicity
- Variable depth KdV equations and generalizations to more nonlinear regimes
- Algorithm 778: L-BFGS-B
- Edge-preserving and scale-dependent properties of total variation regularization
- A Limited Memory Algorithm for Bound Constrained Optimization
- Solitary waves propagating over variable topography
- Stability estimate for an inverse problem for the Schrödinger equation in a magnetic field with time-dependent coefficient
- Internal solitary waves in a variable medium
- Unified form language
- An inverse problem for Schrödinger equations with discontinuous main coefficient
- Model equations for long waves in nonlinear dispersive systems
This page was built for publication: Reconstruction of a space-dependent coefficient in a linear Benjamin-Bona-Mahony type equation
