MATLAB and C Programming for Trefftz Finite Element Methods (eBook, PDF)
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Collecting results scattered in the literature, this book provides the detailed MATLAB and C programming processes in applications of the Trefftz FEM to potential and elastic problems. It presents MATLAB and C subroutines for inputting data and outputting results, Gaussian integration, generating shape functions, assembling an elemental stiffness matrix, introducing boundary conditions, and solving global stiffness equations. The authors also address advanced topics, such as the construction of Trefftz p-elements, dimensionless transformation, and an alternative formulation to HT FEM. They inc...
Collecting results scattered in the literature, this book provides the detailed MATLAB and C programming processes in applications of the Trefftz FEM to potential and elastic problems. It presents MATLAB and C subroutines for inputting data and outputting results, Gaussian integration, generating shape functions, assembling an elemental stiffness matrix, introducing boundary conditions, and solving global stiffness equations. The authors also address advanced topics, such as the construction of Trefftz p-elements, dimensionless transformation, and an alternative formulation to HT FEM. They include numerous numerical examples as well as a CD-ROM with MATLAB and C codes.
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