nonlinear finite element equations
Finite element computation for solving pulsatile blood flow: relevance in assessing the flow dynamics in abdominal aortic aneurysms
... The objective of this paper is to present the mixed velocity-pressure (v-p) finite element method that solves the pulsatile blood flow in arteries. The solution exploits the Galerkin method and the fully ...
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A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations
... profile but they can be still observed inside the computational domain. For this value of β, the outflow profile does not differ too much from the outflow profile in Fig. 2, top right. However, inside the computational ...
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Quasi ALE finite element method for nonlinear water waves
... governing equations are made a bit more complex to account for the moving velocities of ...as finite element, finite volume and finite different methods have been used to solve the ...
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An Upwind-mixed Finite Element Method with Moving Grids for Quasi-nonlinear Sobolev Equations
... Sobolev equations different from parabolic e- ...for nonlinear Sobolev equations in [8], [9]. In [10], [11], nonlinear Sobolev equations with convection term were researched by using ...
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Edge-based nonlinear diffusion for finite element approximations of convection-diffusion equations and its relation to algebraic flux-correction schemes
... This work deals with the development of a method that satisfies the discrete analogue of the last definition. The quest for such a method has been a constant for the last couple of decades. Several methods have been ...
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A new positive definite semi-discrete mixed finite element solution for parabolic equations
... mixed finite element procedure) for treating the pressure equation of parabolic type in a nonlinear parabolic system which described a model for compressible flow displacement in a porous ...mixed ...
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A posteriori error estimation for a PDE constrained optimization problem involving the generalized Oseen equations
... trary finite element methods are not allowed, and second, considering standard finite element methods produces poor approximation results when convection–dominated regimes are considered ...of ...
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12. GEOMETRIC NONLINEAR FINITE ELEMENT ANALYSIS OF SCHWEDLER'S DOME
... GEOMETRIC NONLINEAR FINITE ELEMENT ANALYSIS OF SCHWEDLER’S DOME Geometric nonlinear F E A is done with ANSYS 12 for the Schwedler’s ...becomes nonlinear. The challenge is to calculate ...
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Solution of Wave Equations Near Seawalls by Finite Element Method
... 2D finite element model for the solution of wave equations is ...The finite element technique is applied to solve nonlinear wave ...The finite element model ...
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A Neuro-Finite Element Analysis of Partial Differential Equations of Solid Mechanics
... of Nonlinear FEM to non rigid motion ...adaptive finite element methods in which both grid size 'h' and local polynomial 'p' are dynamically altered, are very effective discretization schemes for the ...
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Non-linear Thermo-mechanical Bending Behavior of Thin and Moderately Thick Functionally Graded Sector Plates Using Dynamic Relaxation Method
... like finite element, finite difference, finite strip, relaxation, ...central finite difference discretization scheme has been used here to solve the nonlinear differential ...
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Least Squares Finite Element Method for the Steady Upper Convected Maxwell Fluid
... a finite element method for the upper-convected Maxwell fluid which is one of the most used viscoelastic ...The nonlinear model is first approached by li- nearizing the equations and a ...
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A multiscale finite element technique for nonlinear multi-phase materials
... In the computational homogenization approach no explicit form of the constitutive behavior on the macro-level is assumed a priori, so that the tangent modulus has to be determined numerically by relations between ...
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Error estimates of finite element methods for nonlinear fractional stochastic differential equations
... finite element approximations of the initial value problem for the nonlinear fractional stochastic partial differential equations with multiplicative ...finite element method and a fully discrete ...
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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 B spline finite element method for nonlinear differential equations describing crystal surface growth with variable coefficient
... quadratic B-splines is lower. Besides, Hermite type elements have two types of different basis functions, but the B-spline finite element only has one type of basis functions. So we consider the cubic B-spline FEM ...
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Paper 02-2013-2
... basic equations and finite element methodology for solving blood flow, nonlinear arterial wall and stent interaction with arterial wall are ...
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An unstructured immersed finite element method for nonlinear solid mechanics
... of nonlinear elasticity, based on a weak incorporation of Dirichlet boundary conditions and interface conditions with Nitsche’s method, an implicit geometry representation and accurate integration of the arising ...
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Dispersive properties of high order nedelec/edge element approximation of the time-harmonic Maxwell equations
... The ability of a numerical scheme to propagate discrete plane wave type solu- tions, discussed in the previous section, correctly has a significant impact on the quality of the approximation that will be obtained [4, 6]. ...
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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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