Adaptive analysis of transient problems involves getting solutions at many different time gap, each of which requires a sequence of adaptive meshes. Therefore, the execution speed of the adaptive algorithm is of paramount importance.
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In addition, transient problems require that the solution must be passed from one adaptive mesh to the next adaptive mesh with a bare minimum of solution-transfer error since this form of error compromises the initial conditions used for the next time step. A new adaptive finite element procedure (s-adaptive) is developed in this thesis for modeling transient phenomena in both linear elastic solids and nonlinear elastic solids caused by progressive damage.
Author:Yue, Zhihua
Source:University of Maryland
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