A New Semidiscretized Order Reduction Finite Difference Scheme for Uniform Approximation of One-Dimensional Wave Equation
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Publication:5117356
DOI10.1137/19M1246535zbMath1446.65199OpenAlexW3046793034MaRDI QIDQ5117356
Publication date: 21 August 2020
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m1246535
Wave equation (35L05) Discrete version of topics in analysis (39A12) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Energie decay estimates and exact boundary value controllability for the wave equation in a bounded domain
- Uniform boundary stabilization for the finite difference discretization of the 1-D wave equation
- Boundary controllability of a linear semi-discrete 1-D wave equation derived from a mixed finite element method
- A finite difference scheme for solving the Timoshenko beam equations with boundary feedback
- Uniform boundary stabilization of the finite difference space discretization of the 1-D wave equation
- Uniformly exponentially stable approximations for a class of damped systems
- Boundary observability for the finite-difference space semi-discretizations of the 2-D wave equation in the square
- Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity
- Uniform boundary controllability of a semi-discrete 1-D wave equation
- Finite element approximation to global stabilization of the Burgers' equation by Neumann boundary feedback control law
- Uniform boundary controllability of a discrete 1-D wave equation
- Initial-boundary value problems for an extensible beam
- Approximation of the controls for the beam equation with vanishing viscosity
- A numerical approach to the exact boundary controllability of the wave equation (I) Dirichlet controls: Description of the numerical methods
- A mixed finite element formulation for the boundary controllability of the wave equation
- An Ingham type proof for a two-grid observability theorem
- Uniform Boundary Controllability of a Semidiscrete 1-D Wave Equation with Vanishing Viscosity
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- A Closed Form Solution of a Longitudinal Bar With a Viscous Boundary Condition
- Boundary observability for the space semi-discretizations of the 1 – d wave equation
- Numerical meshes ensuring uniform observability of one-dimensional waves: construction and analysis
- Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods
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