Wave propagation from lateral Cauchy data using a boundary element method
type: Item
instance of: scholarly article
title: Wave propagation from lateral Cauchy data using a boundary element method
author: Yuriy Muzychuk
author: Andriy Hlova
author: R. S. Chapko
author: B. Tomas Johansson
published in: Wave Motion
publication date: 2020-07-17T00:00:00Z
Mathematics Subject Classification ID: 35R25
Mathematics Subject Classification ID: 35L10
Mathematics Subject Classification ID: 35J47
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 65M38
zbMATH DE Number: 7222227
zbMATH Keywords: boundary element method
zbMATH Keywords: boundary integral equations
zbMATH Keywords: Galerkin method
zbMATH Keywords: hyperbolic lateral Cauchy inverse problem
zbMATH Keywords: Laguerre transform
zbMATH Keywords: single-layer potentials
zbMATH Keywords: system of elliptic equations
zbMATH Keywords: Tikhonov regularization
zbMATH Keywords: wave equation
describes a project that uses: DGM
MaRDI profile type: Publication
full work available at URL: j.wavemoti.2019.102385
OpenAlex ID: W2964861442
cites work: Numerical solution of a time-like Cauchy problem for the wave equation
cites work: Continuous dependence on data for solutions of partial differential equations with a prescribed bound
cites work: A timelike Cauchy problem and an inverse problem for general hyperbolic equations
cites work: Application of mixed formulations of quasi-reversibility to solve ill-posed problems for heat and wave equations: the 1D case
cites work: An inverse obstacle problem for the wave equation in a finite time domain
cites work: Inverse problems for partial differential equations
cites work: A boundary integral equation method for numerical solution of parabolic and hyperbolic Cauchy problems
cites work: Regularization of an ill-posed Cauchy problem for the wave equation (numerical experiment)
cites work: Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
cites work: Carleman weight functions for a globally convergent numerical method for ill-posed Cauchy problems for some quasilinear PDEs
cites work: Inverse problems of 3D ultrasonic tomography with complete and incomplete range data
cites work: Reconstruction of space-dependent potential and/or damping coefficients in the wave equation
cites work: Reflectors in wave equation imaging
cites work: Estimating the boundary condition in a 3D inverse hyperbolic heat conduction problem
cites work: Boundary estimation of hyperbolic bio-heat conduction
cites work: The Quasi-Reversibility Method for Thermoacoustic Tomography in a Heterogeneous Medium
cites work: On the numerical solution of a Cauchy problem for the Laplace equation via a direct integral equation approach
cites work: On the use of an integral equation approach for the numerical solution of a Cauchy problem for Laplace equation in a doubly connected planar domain
cites work: Integral equations for biharmonic data completion
cites work: Rothe's method for the heat equation and boundary integral equations
cites work: Q4955278
cites work: Q4001383
cites work: On variational formulations of inner boundary value problems for infinite systems of elliptic equations of special kind
cites work: DGM: a deep learning algorithm for solving partial differential equations
cites work: Integral equations for inverse problems in corrosion detection from partial Cauchy data
cites work: Q4942765
cites work: Boundary integral equations
cites work: Advanced Boundary Element Methods
DOI: 10.1016/J.WAVEMOTI.2019.102385
description: scientific article; zbMATH DE number 7222227