Journal ArticleDOI
A variational principle for the laplace's operator with application in the torsion of composite rods
Reads0
Chats0
TLDR
In this paper, the Ritz method with relaxed coordinate functions is used to establish a minimizing sequence for an extended functional, where the integrand of the functional involves discontinuous functions, which implies that the gradient of the related extremal curve or surface also admits discontinuities.About:
This article is published in International Journal of Solids and Structures.The article was published on 1974-10-01. It has received 10 citations till now. The article focuses on the topics: Ritz method & Variational principle.read more
Citations
More filters
Journal ArticleDOI
A unified variational approach for coupling 3D-1D models and its blood flow applications
TL;DR: An extended variational formulation is proposed in order to handle the problem of the flow of an incompressible fluid in compliant vessels with discontinuous fields and makes possible to tackle in a consistent variational manner problems like the coupling between models of different dimensionality.
Journal ArticleDOI
A combined discontinuous Galerkin finite element method for miscible displacement problem
TL;DR: A new combined method is constructed for solving incompressible miscible displacement in porous media and a symmetric discontinuous Galerkin finite element method is proposed for the concentration equation, which makes the coefficient matrixes symmetric positive definite and conserves the local mass balance.
Journal ArticleDOI
On finite element methods for heterogeneous elliptic problems
TL;DR: In this article, residual based stabilized mixed methods were applied to Darcy flow in homogeneous porous media and extended them to heterogeneous media with an interface of discontinuity, where the proposed formulations preserve the continuity of the flux and exactly imposes the constraint between the tangent components of Darcy velocity on the interface.
Journal ArticleDOI
A Combined Discontinuous Galerkin Method for Saltwater Intrusion Problem with Splitting Mixed Procedure
TL;DR: In this paper, a splitting positive definite mixed element method was used to solve the water head equation, and a symmetric discontinuous Galerkin (DG) finite element method is used to solving the concentration equation.
Proceedings ArticleDOI
Torsion of Cylindrically Orthotropic Composite Bar with Cross Section of a Sector of Solid Circle
TL;DR: In this paper, an analytical method is presented to obtain the Prandtl's stress function and torsion function of the compound cross section made of two different cylindrically orthotropic material.
References
More filters
Book
The finite element method in engineering science
TL;DR: In this paper, the authors describe how people search numerous times for their favorite books like this the finite element method in engineering science, but end up in malicious downloads, and instead they cope with some infectious bugs inside their computer.
Book
The method of weighted residuals and variational principles
TL;DR: In this article, the method of Weighted Residuals is used to solve boundary-value problems in heat and mass transfer problems, and convergence and error bounds are established.