A multiple-scale MQ-RBF for solving the inverse Cauchy problems in arbitrary plane domain

DOI10.1016/j.enganabound.2016.02.011zbMath1403.65116OpenAlexW2313355413MaRDI QIDQ1655072

Y. Aharonov

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.2016.02.011

zbMATH Keywords

elliptic PDEsinverse Cauchy problemmultiple-scale radial basis function expansionpost-conditioner

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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)

Related Items (10)

Initial boundary value problems for a multi-term time fractional diffusion equation with generalized fractional derivatives in time ⋮ An inverse source problem for a two parameter anomalous diffusion equation with nonlocal boundary conditions ⋮ Solving the 3D Cauchy problems of nonlinear elliptic equations by the superposition of a family of 3D homogenization functions ⋮ Radial basis function neural network (RBFNN) approximation of Cauchy inverse problems of the Laplace equation ⋮ Numerical solution of two-dimensional inverse time-fractional diffusion problem with non-local boundary condition using \(a\)-polynomials ⋮ An energy regularization of the MQ-RBF method for solving the Cauchy problems of diffusion-convection-reaction equations ⋮ Optimal shape parameter in the MQ-RBF by minimizing an energy gap functional ⋮ A collocation method with space-time radial polynomials for inverse heat conduction problems ⋮ Numerical Simulation of Non-Linear Schrodinger Equations in Arbitrary Domain by the Localized Method of Approximate Particular Solution ⋮ Inverse source problems for a space–time fractional differential equation

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