nonlinear finite element problems
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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NONLINEAR FINITE ELEMENT ANALYSIS OF SLAB
... and finite changes in the geometry of the ...many problems strains - displacement relations are not ...deflection problems like the analysis of tension structures & post buckling studies of ...
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A posteriori error estimates of fully discrete finite element schemes for nonlinear parabolic integro differential optimal control problems
... literature for this is huge. Some techniques directly relevant to our work can be found in [, ]. Recently, in [–], we derived a priori error estimates and superconvergence for linear quadratic optimal control ...
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12. GEOMETRIC NONLINEAR FINITE ELEMENT ANALYSIS OF SCHWEDLER'S DOME
... The finite element method sometimes also referred to as finite element analysis (FEA), is a computational technique used to obtain approximate solutions of boundary value problems in ...
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Quasi ALE finite element method for nonlinear water waves
... Lagrangian-Eulerian finite element method (QALE-FEM) for simulating water waves based on fully nonlinear potential ...conventional finite element method developed by one of authors of ...
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New a posteriori error estimates for hp version of finite element methods of nonlinear parabolic optimal control problems
... The paper is organized as follows. In Section , we shall construct the hp finite element approximation for nonlinear parabolic optimal control problems. In Section , we derive hp a posteriori error ...
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Software for finite element methods and its application to nonvariational problems
... For chapter 3, the second part of this thesis, we consider nonvariational problems and their discretization in Dune-Fempy . We first concretely define the problem and corresponding notation in section 3.1. Then in ...
173
On mixed finite element techniques for elliptic problems
... value problems for elliptic equations by means of finite element methods of mixed typ The main motivation of this paper is to extend these methods for a class of mildly nonlinear ellipti[r] ...
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A Generalized Multiscale Finite Element Method for poroelasticity problems II: nonlinear coupling
... a nonlinear way ...these nonlinear poroelasticity problems with the heterogeneous multiscale ...Multiscale Finite Element Method and its extension to nonlinear poroelasticity ...
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Error estimates for the finite element solutions of variational inequalities
... In this paper, we derive the finite element error estimates for the approximate solution of mildly nonlinear boundary value problems having auxiliary constraint conditions... ulate it in[r] ...
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Three Dimensional Nonlinear Finite Element Analysis of Airport Pavements.
... many different parameters that may impact the test results in order to consider their effects on the test. In addition, it is often difficult to know why a specimen behaves in a certain manner because of the lack of ...
221
An unstructured immersed finite element method for nonlinear solid mechanics
... elements are subdivided into two triangles which themselves are triangulated in order to recover the implicit surface in the form of triangle edges. This approach is akin to a two-dimensional version of marching cubes ...
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A multiscale finite element technique for nonlinear multi-phase materials
... The unit cell methods represent another way to approach the analysis of multi-phase materials. They appeared due to the complexity of microstructural mechanical and physical behaviour along with the developments of ...
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A nonlinear dynamic finite element approach for simulating muscular hydrostats
... An implicit non-linear finite element model for simulating biological muscle mechanics is developed. The numerical method is suitable for dynamic simulations of three-dimensional non-linear nearly ...
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A new positive definite semi-discrete mixed finite element solution for parabolic equations
... mixed finite element methods spent less time than the standard mixed finite element ...mixed finite element methods are more ...
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Nonlinear Large Deformation Analysis of Rubber Bumpers in Automotive Suspensions
... In nonlinear FEA, lower-order elements are often preferred over higher elements, because of reasonable accuracy at reduced cost and their robustness for large deformation ...linear element is preferred over ...
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The role of numerical integration in numerical homogenization*
... homogenization problems, nonlinear monotone elliptic homogeniza- tion problems and nonlinear nonmonotone elliptic homogenization problems in Sections 2,3,4, ...a finite number of ...
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Computational modeling of airway instability and collapse in tracheomalacia
... Computational nonlinear finite element models were developed to determine the effect of malacic segment length, tracheal diameter, and reduction in tissue nonlinear elastic properties on the ...
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H∞ Finite Time Control for Switched Linear Systems with Time Varying Delay
... finite-time boundedness for discrete switched system were proposed. In this paper, we extend the definitions to continuous switched linear system with time-varying delay. First, the following three lemmas are ...
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On mathematical modelling of aeroelastic problems with finite element method
... The aeroelasticians in practice use the linearized meth- ods to find the solution of aeroelastic problems usually in terms of the prediction of the aeroelastic instability, see [6]. The use of linearized ...
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