Optimization of Bathymetry for Long Waves with Small Amplitude
From MaRDI portal
Publication:5013563
DOI10.1137/20M1326337zbMath1480.35107arXiv2003.09135MaRDI QIDQ5013563
Julien Salomon, Sebastian Riffo, Pierre-Henri Cocquet
Publication date: 1 December 2021
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.09135
optimizationwave equationfinite element approximationHelmholtz equationNavier Stokes equationbathymetry
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Wave equation (35L05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs in connection with control and optimization (35Q93)
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Cites Work
- Unnamed Item
- Unnamed Item
- Inverse problems in free surface flows: a review
- Optimal dynamics of soft shapes in shallow waters
- Regularity of solutions of linear second order elliptic and parabolic boundary value problems on Lipschitz domains
- Lagrangian data assimilation for river hydraulics simulations
- Strong unique continuation for general elliptic equations in 2D
- Optimal treatment of structures
- On a topology optimization problem governed by two-dimensional Helmholtz equation
- Derivation of a non-hydrostatic shallow water model; comparison with Saint-Venant and Boussinesq systems
- Shape and topology optimization of an acoustic horn-lens combination
- On the convergence of interior-reflective Newton methods for nonlinear minimization subject to bounds
- Elliptic partial differential equations of second order
- An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry
- Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT
- The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances
- Optimal shape of an underwater moving bottom generating surface waves ruled by a forced Korteweg-de Vries equation
- Estimation techniques for distributed parameter systems
- Theory and practice of finite elements.
- Stability estimates for a class of Helmholtz problems
- Linear and quasilinear elliptic equations
- On Stability of Discretizations of the Helmholtz Equation
- Total Variation Minimization with Finite Elements: Convergence and Iterative Solution
- Stability analysis of heterogeneous Helmholtz problems and finite element solution based on propagation media approximation
- VERTICALLY AVERAGED MODELS FOR THE FREE SURFACE NON-HYDROSTATIC EULER SYSTEM: DERIVATION AND KINETIC INTERPRETATION
- APPROXIMATION BY PIECEWISE CONSTANT FUNCTIONS IN A BV METRIC
- Wavenumber-Explicit $hp$-BEM for High Frequency Scattering
- Generation of 2D water waves by moving bottom disturbances
- ASYMPTOTIC DERIVATION OF THE SECTION-AVERAGED SHALLOW WATER EQUATIONS FOR NATURAL RIVER HYDRAULICS
- Shape optimization of geotextile tubes for sandy beach protection
- An Augmented Lagrangian Method for Identifying Discontinuous Parameters in Elliptic Systems
- Recent Developments in Inverse Acoustic Scattering Theory
- A shape reconstruction method for electromagnetic tomography using adjoint fields and level sets
- Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations
- Introduction to Shape Optimization
- An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds
- Penalization model for Navier–Stokes–Darcy equations with application to porosity-oriented topology optimization
- Minimisation principles for the evolution of a soft sea bed interacting with a shallow sea
- Stability and finite element error analysis for the Helmholtz equation with variable coefficients
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
- Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation
