A BIEM using the Trefftz test functions for solving the inverse Cauchy and source recovery problems

DOI10.1016/j.enganabound.2015.10.004zbMath1403.65121OpenAlexW2153673888MaRDI QIDQ1654895

Chein-Shan Liu

Publication date: 9 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2015.10.004

zbMATH Keywords

Laplace equationPoisson equationboundary integral equation methodinverse source probleminverse Cauchy problemTrefftz test functions

Mathematics Subject Classification ID

Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (7)

A numerical method for inverse source problems for Poisson and Helmholtz equations ⋮ Method for recovering boundary data in a two-dimensional Poisson equation on annular domain ⋮ The scalability of the matrices in direct Trefftz method in 2D Laplace problem ⋮ Solving the <scp>2D</scp> and <scp>3D</scp> nonlinear inverse source problems of elliptic type partial differential equations by a homogenization function method ⋮ Solving nonlinear elliptic inverse source, coefficient and conductivity problems by the methods with bases satisfying the boundary conditions automatically ⋮ A global domain/boundary integral equation method for the inverse wave source and backward wave problems ⋮ An energetic boundary functional method for solving the inverse source problems of 2D nonlinear elliptic equations

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