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Regular Seminar
Strong-Form Framework for Solving Boundary Value Problems with Geometric Nonlinearity(Joint with NCTS)

Speaker Professor Judy P. Yang 楊子儀
Affiliation Department of Civil Engineering, NCTU
Date 2015-07-02
Time 15:00-16:00pm
Venue SA307
Abstract A framework formulated in strong form for solving nonlinear boundary value problems by considering the effects of geometric nonlinearity is proposed, in which an incremental-iterative algorithm is developed. Traditionally, the finite element methods (FEMs) or weak-form based meshfree methods are the popular methods adopted to solve geometric nonlinear problems. Nevertheless, there are critical issues to be overcome, for instance, mesh dependency, numerical integration, and boundary imposition, thereby making the existing methods computationally expensive and inefficient. Recently, the strong form collocation methods have got great attention and succeeded in solving boundary value problems. The feasibility of the collocation method with nodal discretization such as the radial basis collocation method (RBCM) motivates the present work. Due to limited application to nonlinear analysis, we theoretically formulate the incremental-iterative algorithm by using the radial basis collocation method and numerically demonstrate the proposed formulation for solving geometric nonlinear problems.
 


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