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Variable trial functions and the CVBEM
Author(s) -
Hromadka T. V.
Publication year - 1985
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.1690010403
Subject(s) - mathematics , variable (mathematics) , discretization , discretization error , matching (statistics) , boundary (topology) , element (criminal law) , function (biology) , boundary element method , laplace transform , matrix (chemical analysis) , boundary value problem , mathematical analysis , finite element method , mathematical optimization , statistics , physics , materials science , evolutionary biology , political science , law , composite material , biology , thermodynamics
The Complex Variable Boundary Element Method; or CVBEM will be developed with respect to a variable trial function definition over each boundary element. The benefits in using this technique are that the modeling error in matching the prescribed boundary conditions (there is no error in satisfying the Laplace equation) is reduced without the addition of nodal points to the problem discretization. Consequently, the n × n matrix requirements are not increased when using this new approach.