variational formulation
A Mixed Variational Formulation for a Slip-dependent Frictional Contact Model
... the variational approach we use; herein, a mixed variational formulation is proposed, in a form of a generalized saddle point prob- lem, the set of the Lagrange multipliers being solution- ...
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Variational Formulation of Mindlin Plate Equation, And Solution for Deflections of Clamped Mindlin Plates
... Ritz variational method, Galerkin variational method, Boundary element method, Collocation methods, and weighted residual ...the variational formulation of the circular thick plate problem is ...
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Complex Rectangular Filter Design Using Hybrid Finite Element Method and Modified Multimodal Variational Formulation
... multimodal variational formulation [3], the size of the scattering matrix depends only on the number of accessible modes, which is independent from the total number of modes used; this contributes to an ...
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Variational formulation and optimal control of fractional diffusion equations with Caputo derivatives
... In this paper we start by giving a new definition of weak Caputo derivative in the sense of distributions, and we give a variational formulation to a fractional diffusion equation with Caputo derivative. We ...
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Rigorous Analysis of Uniaxial Discontinuities Microwave Components Using a New Multimodal Variational Formulation
... multimodal variational formulation (NVMF) anal- ysis is used for a rigorous analysis of four microwave subsystems with multiple discontinuities: one double-step and one quadruple- step empty-ridged ...
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Ultra-Weak Variational Formulation and efficient Integral Representation in Electromagnetism: a thorough study of the algorithm complexity
... Ultra-Weak Variational Formulation (UWVF) is a volume based numerical method for solving the time- harmonic Maxwell system on a bounded domain developed by ...
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A variational formulation for translation and assimilation of coherent structures
... Numerical prediction of geophysical flows (meteorology, oceanography, hydrology, etc.) requires an analysis proce- dure. Its purpose is to obtain an optimal initial state at a given instant from which the forecast is ...
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A Special Case of Variational Formulation for Two Point Boundary Value Problem in L2(Ω)
... We write the BVP in variational form and use this together (with elements from functional analysis) we prove existence, uniqueness and continuous dependence on data. The finite difference method is a method for ...
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Finite element error estimates for nonlinear elliptic problems of monotone type
... In Chapter 6 , we use the method developed earlier to establish a variational formulation for a class of nonlinear vectorial boundary value problems and to derive error estimates for the[r] ...
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Computational methods for identification and feedback control in structures with piezoceramic actuators and sensors
... The minimization in our parameter estimation problems involves an innite dimensional state (and an innite dimensional admissible parameter space in some cases { for ease of exposition, we assume here that Q is nite ...
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Quasistatic Elastic Contact with Adhesion
... the variational study of the contact with adhesion between an elastic material and a rigid foundation in the quasistatic process where the deformations are supposed to be ...a variational formulation ...
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Some results on the eigenvalue problem for a fractional elliptic equation
... different variational formulation of the first eigenvalue for the above ...a variational proof of the fractional Faber–Krahn inequality by employing suitable rearrangement ...
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Variational integrators
... of variational integrators as it applies to mechanical systems of engineering ...the variational formulation of a given problem, rather than the differential ...discretizing variational ...
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A highly efficient spectral Galerkin method based on tensor product for fourth order Steklov equation with boundary eigenvalue
... However, as far as we know, there has appeared no report of numerical results on three- dimensional regions. In this article, we employ the Legendre polynomials to formulate the basis functions such that the matrices in ...
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Adjoint-consistent formulations of slip models for coupled electroosmotic flow systems
... a variational formulation for a modified version of the ‘slip’ model is presented and its adjoint is derived in Section “Variational formula- tion of the slip BC EOF ...naive formulation is ...
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Aspects of natural convention and of non linear hydridynamic stability
... Whitham’s variational method in the following ...averaged variational formulation then gives rise to Euler-Lagrange equations, which constitute the interaction equations for the given resonant group ...
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Finite-strain three-dimensional solids with rotational degrees of freedom: non-linear statics and dynamics
... In this paper we seek refined yet efficient computational models of large overall motion in statics and dynamics. The efficiency is achieved by the proposed model of 8-node brick element with rotational degrees of freedom ...
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A penalty method for the simulation of fluid - rigid body interaction
... Abstract . We present here a method to simulate the motion of a rigid body in a fluid. The method is based on a variational formulation on the whole fluid/solid domain, with some constraints on the unknown ...
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A mixed finite element method for the Reissner-Mindlin plate
... In this paper, the advantage is that only two unknowns (rotation θ and displacement ω) are computed. The existence and uniqueness of the solution of the variational formulation will be given. A low-degree ...
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A Novel Approach to Simultaneous Image Segmentation and Bias Correction
... our variational formulation, without any additional effort to maintain the smoothness of the bias field, and it can approximate bias fields of more general profiles, such as those in 7T MR ...
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