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AN EFFICIENT FINITE ELEMENT METHOD FOR NONLINEAR DIFFUSION PROBLEMS [PDF]

, 1993
A mixed variable finite element method for a nonlinear diffusion problem is presented. It is shown that in this method the updating of material coefficients is simplified and the discrete approximation is much more accurate for problems with almost discontinuous coefficients, where discontinuity occurs in the interior of the elements.
Axelsson, A.O.H., Gustafsson, I.
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Finite element methods for nonlinear optical waveguides

2021
This thesis was scanned from the print manuscript for digital preservation and is copyright the author. Researchers can access this thesis by asking their local university, institution or public library to make a request on their behalf. Monash staff and postgraduate students can use the link in the References field.
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A Finite Element Method for Fully Nonlinear Water Waves

Journal of Computational Physics, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cai, Xing, Langtangen, Hans Petter, Nielsen, Bjørn Fredrik, Tveito, Aslak   +3 more
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Finite-Element Methods for Nonlinear Elastodynamics Which Conserve Energy

Journal of Applied Mechanics, 1978
A modification of the trapezoidal rule is presented which results in physically appropriate energy growth characteristics for nonlinear transient analysis. In particular, when external forces are absent, energy conservation is attained for nonlinear elastodynamics and unconditional stability is thereby automatically achieved. Implementation aspects and
Hughes, T. J. R., Caughey, T. K., Liu, W. K.   +2 more
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Stochastic Finite Element Method in Heat Transfer, Introduction of Nonlinear Perturbation Finite Element Method

1988
For structural analyses with uncertainties, stochastic finite element method (SFEM) has been developed by Nakagiri, etc.[1] Based on a perturbation method, derivatives by probabilistic variables, means and dispersions of responces can be obtained. In this paper, the application of SFEM to a heat transfer problem with radiative boundary conditions is ...
H. Noguchi, M. Kuzuhara, T. Tsutsumi, S. Nakagiri   +3 more
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Hybrid finite element-boundary element method for nonlinear electromagnetic problems

IEEE Transactions on Magnetics, 1995
The paper deals with the application of the hybrid finite element-boundary element method in the computation of linear and nonlinear magnetostatic field with a vector potential for 2D and with a scalar potential for 3D problems. The nonlinear part of the domain is solved by finite elements, while in the linear part of the domain, the boundary elements ...
M. Trlep, L. Skerget, B. Kreca, B. Hribernik   +3 more
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Nonlinear finite element methods for nonrigid motion analysis

Proceedings of the Workshop on Physics-Based Modeling in Computer Vision, 2002
The motion of nonrigid or deformable bodies has been studied in the field of engineering mechanics and applied mathematics for years with great success. In computer vision, the application of engineering mechanics for 3D shape fitting and motion analysis is generally called utilizing deformable shape models or physically-based modeling (usually using ...
null Wen-Chen Huang, D.B. Goldgof, L. Tsap   +2 more
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Finite Volume Element Method for a Nonlinear Parabolic Equation

Advances in Applied Mathematics and Mechanics
Summary: In this article, we study a parabolic equation with both nonlinear time-derivative term and nonlinear diffusion term by the finite volume element method. The optimal error estimate in \(H^1\)-norm is proved for fully discrete scheme. The suboptimal error estimate in \(L^2\)-norm is proved both for semi-discrete scheme and fully discrete scheme.
Du, Yanwei, Li, Yonghai
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Truncated newton methods for nonlinear finite element analysis

Computers & Structures, 1988
Abstract In the present study procedures for the solution of large-scale nonlinear algebraic discrete equations arising from the application of the finite element method to structural analysis problems are described and evaluated. The methods are based on Newton's method for the outer iterations, while for the linearized problem in each iteration the
M. Papadrakakis, C.J. Gantes
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Nonconforming Finite Element Method for Nonlinear Parabolic Equations

2010
In this paper, we consider a nonconforming finite element method for the nonlinear parabolic equations which has the superiority in computation compared with the conforming ones. The convergence analysis is discussed by making use of the particular characteristics of the finite element and the interpolation theorem, without recurring to the Ritz ...
Hongwu Yin, Buying Zhang, Qiumei Liu
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