Mixed Finite Element Methods
A priori error estimates for higher order variational discretization and mixed finite element methods of optimal control problems
... the finite element community, mixed finite element methods should be used for discretization of the state equations in such ...problems, mixed finite element ...
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A posteriori error estimates for fourth order hyperbolic control problems by mixed finite element methods
... the mixed finite element method for the optimal control problems governed by fourth order hyperbolic ...Raviart–Thomas mixed elements and control is discretized by piecewise polynomials of degree ...
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A posteriori error estimates of mixed finite element methods for general optimal control problems governed by integro differential equations
... the mixed finite element methods for general convex optimal control problems governed by integro-differential ...Raviart-Thomas mixed finite element spaces and the control is discretized ...
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A Stable Mixed Finite Element Scheme for the Second Order Elliptic Problems
... The mixed finite element methods (MFEM) are widely used in the theoretical analysis and computations of many areas of science and ...polynomial finite element spaces for the ...
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A new positive definite semi-discrete mixed finite element solution for parabolic equations
... numerical methods for parabolic equations, such as finite element methods [1 ‒ 4], mixed finite element methods [5 ‒ 9], finite volume element method ...
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Stabilized finite element method for the stationary mixed Stokes–Darcy problem
... The rest of the paper is organized as follows. In Sect. 2, we describe the well known Stokes–Darcy fluid flow model with interface conditions. In Sect. 3, we present some no- tations, preliminaries, and variational ...
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Comparison of a finite difference and a mixed finite element formulation of the uniaxial perfectly matched layer
... numerical methods, such as the finite difference method or the finite element method, is dependent on the particular ab- sorbing boundary condition used to truncate the computational ...
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Finite element computation for solving pulsatile blood flow: relevance in assessing the flow dynamics in abdominal aortic aneurysms
... the mixed velocity-pressure (v-p) finite element method that solves the pulsatile blood flow in ...nonlinear finite element ...predictive methods via computational modelling for ...
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Stabilised finite element methods for a bending moment formulation of the Reissner-Mindlin plate model
... design finite element methods whose error estimates are independent of the thickness of the plate) a considerable amount of work has been produced over the last couple of ...a mixed ...
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New quadrilateral mixed finite elements
... The organization of this paper is as follows. In the next section, we introduce some basic material for mixed methods, focused on quadrilateral grids. Our new element is introduced and analyzed in ...
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Nonconforming H1 Galerkin Mixed Finite Element Method for Pseudo Hyperbolic Equations
... Wilson element is much better than that of conforming bilinear ...this element to arbitrary quadrilateral meshes, various im- proved methods have been developed in ...
5
Goal oriented a posteriori error estimation for the travel time functional in porous media flows
... of finite element methods has been demonstrated for many of the complex geometries and physical effects that are associated with the numerical approximation of groundwater flow and contaminant ...
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A two-level enriched finite element method for a mixed problem
... final methods are said to incorporate ”missing scales” not captured by the mesh, and so, named multi-scale ...Multi-Scale Methods (HMM) [18], and recently, Petrov-Galerkin Enriched Methods (PGEM) ...
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The hp version of Eulerian Lagrangian mixed discontinuous finite element methods for advection diffusion problems
... A slightly different discontinuous Galerkin method has recently been intro- duced in [32]. Their method is different from the global element method in that the sign in front of the so-called symmetric term was ...
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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 stabilized mixed discontinuous Galerkin method for the incompressible miscible displacement problem
... a mixed finite element (MFE) method for the compressible miscible displacement ...stabilized finite element formulation in which an appropriately weighted residual of the Darcy law is ...
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Modeling multiphase flow in porous medium systems at multiple scales
... these methods has followed two major themes: methods inspired by the original interior penalty method and those inspired by finite vol- ume techniques for hyperbolic problems, including the LDG ...of ...
188
Stable finite element methods for the Stokes problem
... finite element approximation of the stationary Stokes equations several approaches appear in the literature [6, 9, ...the mixed finite element scheme with pressure stabilization for some higher order ...
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Consistent local projection stabilized finite element methods
... stabilized finite element methods for the Stokes problem have been criticized because of their need to set a constant, called the stabilization ...stable finite element spaces and look ...
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A Second Order Characteristic Method for Approximating Incompressible Miscible Displacement in Porous Media
... Hermite finite element method is used for the pressure equation, which ensures the approximation of the velocity smooth ...characteristic finite element method is presented to handle the ...
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