A block forward substitution method for solving the hypercomplex finite element system of equations

The hypercomplex finite element method, ZFEM, allows the analyst to compute highly-accurate arbitrary-order shape, material property, and loading derivatives by augmenting the traditional finite element method with multiple imaginary degrees of freedom. In ZFEM, the real variables are converted to h...

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Veröffentlicht in:	Computer methods in applied mechanics and engineering 2021-12, Vol.387, p.114195, Article 114195
Hauptverfasser:	Aguirre-Mesa, Andres M., Garcia, Manuel J., Aristizabal, Mauricio, Wagner, David, Ramirez-Tamayo, Daniel, Montoya, Arturo, Millwater, Harry
Format:	Artikel
Sprache:	eng
Schlagworte:	Complex Taylor series expansion Complex variables Complex-variable finite element method Computing time Degrees of freedom Dual numbers Finite element analysis Finite element method Hypercomplex numbers Hyperdual numbers Material properties Quaternions Real variables Run time (computers) Semi-analytical complex-variable method Stiffness matrix Substitutes Variables
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