scientific article; zbMATH DE number 1442002

DOI<1791::AID-NME654>3.0.CO;2-Z 10.1002/(SICI)1097-0207(19990830)45:12<1791::AID-NME654>3.0.CO;2-ZzbMath0958.65125MaRDI QIDQ4951616

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Publication date: 8 May 2000

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zbMATH Keywords

stabilitynumerical resultsinverse problemregularizationsingular value decompositionboundary element methodbiharmonic equationLaplace equationinverse boundary value problemill-conditioned systemminimal energy methods

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Boundary value problems for higher-order elliptic equations (35J40) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

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An iterative regularizing method for an incomplete boundary data problem for the biharmonic equation ⋮ Fading regularization FEM algorithms for the Cauchy problem associated with the two‐dimensional biharmonic equation ⋮ Solving biharmonic problems with scattered-point discretization using indirect radial-basis-function networks ⋮ A domain-type boundary-integral-equation method for two-dimensional biharmonic Dirichlet problem ⋮ A multiple-scale Trefftz method for an incomplete Cauchy problem of biharmonic equation ⋮ Application of radial basis meshless methods to direct and inverse biharmonic boundary value problems ⋮ An effective high order interpolation scheme in BIEM for biharmonic boundary value problems ⋮ On numerical resolution of an inverse Cauchy problem modeling the airflow in the bronchial tree ⋮ Boundary element two-dimensional solution of an inverse Stokes problem ⋮ Inverse solutions of temperature, heat flux and heat source by the Green element method ⋮ An inverse Stokes problem using interior pressure data

Cites Work

• The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
• The Numerical Solution of Some Biharmonic Problems by Mathematical Programming Techniques
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