Recovery of a Time-Dependent Bottom Topography Function from the Shallow Water Equations via an Adjoint Approach
DOI10.1137/20M1341787OpenAlexW3195859873MaRDI QIDQ5010241
Weitao Chen, Yulong Xing, Yat Tin Chow, Jolene Britton
Publication date: 25 August 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.00117
inverse problemsshallow water equationsdiscontinuous Galerkin methodsadjoint methods\(L^1\) and \(H^1\) regularizationhyberbolic balance laws
Numerical optimization and variational techniques (65K10) Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)
Uses Software
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