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Efficient boundary element methods for three‐dimensional exterior viscous flows
Author(s) -
Hebeker FriecrichKarl
Publication year - 1986
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.1690020404
Subject(s) - mathematics , discretization , multigrid method , partial differential equation , finite element method , boundary element method , numerical analysis , boundary (topology) , algebraic number , boundary value problem , element (criminal law) , mathematical analysis , physics , thermodynamics , political science , law
An efficient numerical algorithm for partial differential equations in complicated three‐dimensional (3‐D) geometries is developed in case of exterior viscous flows. The algorithm essentially consists of a boundary element method, where the resulting algebraic system is solved with a multigrid procedure. Our investigation covers and exact mathematical foundation, a detailed analysis of the discretization error, and some numerical tests with reasonable physical examples.