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Conforming Finite Element Methods

High order cut finite element methods for the Stokes problem

High order cut finite element methods for the Stokes problem

... a finite difference setting or [8] in a finite element set- ...extended finite element method (XFEM) also provides composite mesh han- dling techniques, see for example [9, ...both ...

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Numerical Experiments Using MATLAB: Superconvergence of Conforming Finite, Element Approximation for Second Order, Elliptic Problems

Numerical Experiments Using MATLAB: Superconvergence of Conforming Finite, Element Approximation for Second Order, Elliptic Problems

... several methods have been proposed in the literature in the last thirty ...the finite element mesh has some special properties such as uniformity [7], local point-symmetry [8] [10], local ...

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Study of Cubi Linear (Non Conforming) Element

Study of Cubi Linear (Non Conforming) Element

... The finite element method is computer aided mathematical technique to obtain approximate numerical solution to the abstract of equation that predict the response of physical system under eternal influence ...

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Stabilised finite element methods for the Oseen problem on anisotropic quadrilateral meshes

Stabilised finite element methods for the Oseen problem on anisotropic quadrilateral meshes

... macro element partition M that consists of closed parallelograms and satisfies a maximal angle ...is conforming, that is, the non-empty intersection of M, M 0 ∈ M is either a single common point or a shared ...

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Discontinuous Galerkin Finite Element Methods for Photonic
Crystals

Discontinuous Galerkin Finite Element Methods for Photonic Crystals

... In the k-shifted formulation there are still some factors of the form e −ik·x left inside the jump and average operators. This is because k was introduced on purpose to allow for periodic behaviour with a period not ...

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Finite Element Methods for Interface Problems with Locally Modified Triangulations

Finite Element Methods for Interface Problems with Locally Modified Triangulations

... Galerkin finite element method [4, ...the finite element method using body-fitted ...several finite element methods have been proposed using Cartesian meshes for elastic ...

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Finite element methods: Research in India over the last decade

Finite element methods: Research in India over the last decade

... for conforming, non- conforming and DG FEMs applied to von K´arm´an equations under realistic regularity assumptions on the exact solution, that is, u ∈ H 2+α (Ω), α ∈ (1/2, ...the conforming counter ...

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Immersed-Interface Finite-Element Methods for Elliptic and Elasticity Interface Problems

Immersed-Interface Finite-Element Methods for Elliptic and Elasticity Interface Problems

... In [30], a conforming IFEM has been developed for homogeneous jump conditions using piecewise linear basis functions. Those elements in which the interface cuts through are divided into three pieces according to ...

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Comparison of Finite Element Methods in Fusion Welding Processes—A Review

Comparison of Finite Element Methods in Fusion Welding Processes—A Review

... Kik and Górka [41] investigated numerical simulations based on the real experiments of S700MC steel T-joint laser and hybrid welding. The simulation was carried out with SYSWELD. Some variables such as the distribution ...

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Software for finite element methods and its application to nonvariational problems

Software for finite element methods and its application to nonvariational problems

... numerical methods that target this problem are relatively ...numerical methods developed for tackling nonvariational problems were finite difference methods ...

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Finite element least squares methods for a compressible stokes system

Finite element least squares methods for a compressible stokes system

... estimates for using finite element methods. The outline of the paper is as follows. In Section 2, we discuss least-squares system and other preliminaries. The continuity and ellipticity of least-squares ...

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Error estimate for finite element methods for scalar conservation laws

Error estimate for finite element methods for scalar conservation laws

... More precisely, we obtain new a posteriori error estimates which are then used to prove that the SCSD method and the SCDG method converge to the entropy solution of (1.1), (1.2) in the L[r] ...

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Rigorous analysis of numerical methods: a comparative study

Rigorous analysis of numerical methods: a comparative study

... popular methods in the 1970s for the analysis of optical waveguides whereby the rectangular structure is replaced by an equivalent slab with an effective refractive index obtained from another ...

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Analysis of a non-standard finite element method based on boundary integral operators

Analysis of a non-standard finite element method based on boundary integral operators

... non-standard finite element method based on element-local boundary inte- gral operators that permits polyhedral element shapes as well as meshes with hanging ...

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Automatic symbolic computation for discontinuous Galerkin finite element methods

Automatic symbolic computation for discontinuous Galerkin finite element methods

... The finite element method (FEM) represents an indispensable computational tool for the accurate, efficient, and rigorous numerical approximation of continuum models arising within a wide range of scientific ...

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Strong Superconvergence of Finite Element Methods for Linear Parabolic Problems

Strong Superconvergence of Finite Element Methods for Linear Parabolic Problems

... linear finite element approximations of a parabolic ...of finite element schemes for a class of Sobolev equations in R d d ≥ 1, and two order superconvergence results are proved in W 1,p Ω and ...

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Evolving surface finite element methods for random advection-diffusion equations

Evolving surface finite element methods for random advection-diffusion equations

... surface finite element discretization of advection-diffusion equations with uncertain coefficients on evolving ...surface finite elements, random advection- diffusion equation, uncertainty ...

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Iterative Solution Methods for a Class of State and Control Constrained Optimal Control Problems

Iterative Solution Methods for a Class of State and Control Constrained Optimal Control Problems

... Iterative methods for solving discrete optimal control problems are constructed and ...by finite difference method or by finite element method the optimal control problems which contain a ...

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Numerical Solution of Irrotational Fluid Flow Problem Using Finite Element Method

Numerical Solution of Irrotational Fluid Flow Problem Using Finite Element Method

... The Finite Element Method has its advancement over other finite difference methods due to taken into consideration the irregular shape domain of ...of Finite Element Method and ...

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Failure Analysis of fractured Fixing Bolts of a Mobile Elevating Work Platform using Finite Element Methods

Failure Analysis of fractured Fixing Bolts of a Mobile Elevating Work Platform using Finite Element Methods

... A mobile elevating work platform (MEWP) is a machine used for mobility. It moves persons to working positions where they can carry out their work from the work platform, with the intention that the workers board and ...

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