Results 21 to 30 of about 186,953 (245)
The Scientific World Journal, 2014 We discuss and analyze an H1-Galerkin mixed finite element (H1-GMFE) method to look for the numerical solution of time fractional telegraph equation. We introduce an auxiliary variable to reduce the original equation into lower-order coupled equations ...
Jinfeng Wang +4 more
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Robust shape optimization method for a linear elastic structure with unknown loadings
Nihon Kikai Gakkai ronbunshu, 2015 In this paper, we propose a robust shape optimization method for a linear elastic structure with unknown loadings. The concept of principal compliance for minimizing the maximal compliance in the unknown loadings is applied to a shape optimization ...
Masatoshi SHIMODA +3 more
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A Multiphase Shape Optimization Problem for Eigenvalues: Qualitative Study and Numerical Results [PDF]
, 2016 We consider the multiphase shape optimization problem $$\min\Big\{\sum_{i=1}^h\lambda_1(\Omega_i)+\alpha|\Omega_i|:\ \Omega_i\ \hbox{open},\ \Omega_i\subset D,\ \Omega_i\cap\Omega_j=\emptyset\Big\},$$ where $\alpha>0$ is a given constant and $ D\subset ...
Bogosel, Beniamin, Velichkov, Bozhidar
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A New Mixed Element Method for a Class of Time-Fractional Partial Differential Equations
The Scientific World Journal, 2014 A kind of new mixed element method for time-fractional partial differential equations is studied. The Caputo-fractional derivative of time direction is approximated by two-step difference method and the spatial direction is discretized by a new mixed ...
Yang Liu +4 more
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Free-form optimization method of frame structures for elastic buckling
Nihon Kikai Gakkai ronbunshu, 2016 In this study, we propose a shape optimization method of a frame structure for maximizing the elastic buckling load. The 1st buckling load factor is maximized under a volume constraint.
Masatoshi SHIMODA, Ryo YOSHIMOTO
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Shape optimization of viscous flow domain considering unsteady fluid structure interaction
Nihon Kikai Gakkai ronbunshu, 2023 This paper presents numerical solution to shape design problems of viscous flow field for unsteady fluid-structure-interactive (FSI) fields. In the FSI analysis, a strong coupled analysis is used to analyze the governing equation of the flow domain and ...
Eiji KATAMINE, Seiya SHIMAKAWA
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Finite element methods for surface PDEs [PDF]
, 2013 In this article we consider finite element methods for approximating the solution of partial differential equations on surfaces. We focus on surface finite elements on triangulated surfaces, implicit surface methods using level set descriptions of the ...
Aragón +21 more
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Mechanical Engineering JournalThis paper presents a numerical solution for the shape design problem in unsteady fluid-structure-interaction (FSI) fields with viscous flow. The FSI analysis uses a strongly coupled approach based on the Arbitrary Lagrange-Eulerian (ALE) method.
Shota NARUSE, Eiji KATAMINE
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Recovering boundary conditions in inverse Sturm-Liouville problems
, 2006 We introduce a variational algorithm, which solves the classical inverse Sturm-Liouville problem when two spectra are given. In contrast to other approaches, it recovers the potential as well as the boundary conditions without a priori knowledge of the ...
Roehrl, Norbert
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Improved ZZ A Posteriori Error Estimators for Diffusion Problems: Conforming Linear Elements [PDF]
, 2016 In \cite{CaZh:09}, we introduced and analyzed an improved Zienkiewicz-Zhu (ZZ) estimator for the conforming linear finite element approximation to elliptic interface problems. The estimator is based on the piecewise "constant" flux recovery in the $H(div;
Cai, Zhiqiang, He, Cuiyu, Zhang, Shun
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