Local knot method for solving inverse Cauchy problems of Helmholtz equations on complicated two‐ and three‐dimensional domains
DOI10.1002/nme.7061zbMath1527.65119OpenAlexW4283368764MaRDI QIDQ6071437
Fajie Wang, Zeng-Tao Chen, Yanpeng Gong
Publication date: 23 November 2023
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.7061
Helmholtz equationsMoore-Penrose pseudoinverseinverse Cauchy problemslocal knot methodnon-singular general solution
Computational methods for sparse matrices (65F50) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs with randomness, stochastic partial differential equations (35R60) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20) Numerical radial basis function approximation (65D12)
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