On Solving the Ill-Conditioned System Ax=b: General-Purpose Conditioners Obtained From the Boundary-Collocation Solution of the Laplace Equation, Using Trefftz Expansions With Multiple Length Scales

DOI10.3970/cmes.2009.044.281zbMath1357.65246OpenAlexW73971795MaRDI QIDQ2969390

Weichung Yeih, Satya N. Atluri, Chein-Shan Liu

Publication date: 14 March 2017

Full work available at URL: https://jglobal.jst.go.jp/en/detail?JGLOBAL_ID=201402213044819002

dilation matrix transformation matrix rotation matrix ill-posed linear equations multi-scale Trefftz method (MSTM)multi-scale Trefftz-collocation Laplacian conditioner (MSTCLC)

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

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