A Multi-Grid Algorithm for Mixed Problems with Penalty.
A Multigrid Method for a Parameter Dependent Problem in Solid Mechanics.
A multigrid method for Reissner-Mindlin plates.
A multiplicative Schwarz method and its application to nonlinear acoustic-structure interaction
A new Schwarz method for nonlinear systems is presented, constituting the multiplicative variant of a straightforward additive scheme. Local convergence can be guaranteed under suitable assumptions. The scheme is applied to nonlinear acoustic-structure interaction problems. Numerical examples validate the theoretical results. Further improvements are discussed by means of introducing overlapping subdomains and employing an inexact strategy for the local solvers.
A new approach for estimating the friction in thin film lubrication.
A new approach for simultaneous shape and topology optimization based on dynamic implicit surface function
A new approach of Timoshenko's beam theory by asymptotic expansion method
A new approach to fracture mechanics.
A New Class of Variational Problems Arising in the Modeling of Elastic Multi-Structures.
A New Family of Stabel Elements for Nearly Incompressible Elasticity Based on a Mixed Petrov-Galerkin Finite Element Formulation.
A new finite element approach for problems containing small geometric details
In this paper a new finite element approach is presented which allows the discretization of PDEs on domains containing small micro-structures with extremely few degrees of freedom. The applications of these so-called Composite Finite Elements are two-fold. They allow the efficient use of multi-grid methods to problems on complicated domains where, otherwise, it is not possible to obtain very coarse discretizations with standard finite elements. Furthermore, they provide a tool for discrete homogenization...
A new formulation for arch structures. Application to optimization problems
A new method for numerical solution of checkerboard fields.
A new method of exact controllability in short time and applications
A new method of solving the basic plane boundary value problems of statics of the elastic mixture theory.
A new mixed finite element method for the Timoshenko beam problem
A New Mixed Formulation for Elasticity.
A new model to describe the response of a class of seemingly viscoplastic materials
A new model is proposed to mimic the response of a class of seemingly viscoplastic materials. Using the proposed model, the steady, fully developed flow of the fluid is studied in a cylindrical pipe. The semi-inverse approach is applied to obtain an analytical solution for the velocity profile. The model is used to fit the shear-stress data of several supposedly viscoplastic materials reported in the literature. A numerical procedure is developed to solve the governing ODE and the procedure is validated...
A new numerical model for propagation of tsunami waves
A new model for propagation of long waves including the coastal area is introduced. This model considers only the motion of the surface of the sea under the condition of preservation of mass and the sea floor is inserted into the model as an obstacle to the motion. Thus we obtain a constrained hyperbolic free-boundary problem which is then solved numerically by a minimizing method called the discrete Morse semi-flow. The results of the computation in 1D show the adequacy of the proposed model.
A new quadrilateral MINI-element for Stokes equations
We introduce a new stable MINI-element pair for incompressible Stokes equations on quadrilateral meshes, which uses the smallest number of bubbles for the velocity. The pressure is discretized with the P1-midpoint-edge-continuous elements and each component of the velocity field is done with the standard Q1-conforming elements enriched by one bubble a quadrilateral. The superconvergence in the pressure of the proposed pair is analyzed on uniform rectangular meshes, and tested numerically on uniform...