finite-element Galerkin formulation
Automatic symbolic computation for discontinuous Galerkin finite element methods
... mathematical formulation of the underlying ...for element stiffness and face matrices and load/residual vectors are automatically generated by the so-called form ...assembling element and face ...
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Discontinuous Galerkin Finite Element Methods for Photonic Crystals
... on Finite Element Methods [21, 28, ...weak formulation of the Maxwell equations and to approximate the solution using a piecewise polynomial basis, such that each basis function is non-zero only on a ...
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Analysis of a group finite element formulation
... stabilized finite element methods, where the stabilizing term is positive semidefinite and, in particular, may vanish for some meshes and discrete ...group formulation of the underlying ...
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Numerical modelling of MPA CVD reactors with the discontinuous Galerkin finite element method
... DG finite element formulation has been generated based on employing the symbolic algebra toolkit AptoPy ...underlying finite element ...
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Weak Galerkin Finite Element Method for the Unsteady Stokes Equation
... The finite element method for the unsteady Stokes equations developed over the last several decades is based on the weak formulation by constructing a pair of finite element spaces ...
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Petrov-Galerkin formulation for compressible Euler and Navier-Stokes equations
... The finite element method is one of the most powerful numerical methods conceived to ...classical formulation of the finite element method is based on the Galerkin weighted ...
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Elastic Perfectly Plastic Behavior modeling by a Meshless Method
... the finite element method ...incremental formulation of elasto-plastic problems based on the element-free Galerkin method (EFG) using the Moving Least Squares (MLS) approximation, the ...
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A Hybrid Reconstructed Discontinuous Galerkin and Continuous Galerkin Finite Element Method for Incompressible Flows on Unstructured Grids.
... discontinuous Galerkin method by increasing the order of the underlying polynomial ...unified formulation for both finite volume and DGM, and contain both classical finite volume and standard ...
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X-FEM simulation of 2-D fracture mechanics problem
... A formulation based on viscosity-regularized continuum damage constitutive model has been coupled with the XFEM ...the element free Galerkin method with the extended partition of unity finite ...
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SEMI DISCRETE FORMULATION OF GALERKIN -PARTIAL ARTIFICIAL DIFFUSION FINITE ELEMENT METHOD FOR COUPLED BURGERS' PROBLEM
... 3. Chan, J., Demkowicz, L., Moser, R. and Roberts, N., 2010, ''A New Discontinuous Petrov- Galerkin Method with Optimal Test Functions. Part V: Solution of 1-D Burgers’ and Navier- Stokes Equations '' , The ...
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Finite element computation for solving pulsatile blood flow: relevance in assessing the flow dynamics in abdominal aortic aneurysms
... the finite element method is commonly used these days ...the finite element scheme is its stability. Generally, the finite element computation of incompressible flows involves ...
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hp Adaptive discontinuous Galerkin methods for neutron transport criticality problems
... indicating the order in which each vertex is visited by the depth first search and an array of length | V | which contains a pointer to the vertex with the lowest index that can be reached from each vertex on the stack. ...
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A Powell-Sabin finite element scheme for partial differential equations
... the finite dimensional space, and the exact solution ...stabilized finite element problem corresponding to (14) reads: find U ∈ [S 2 1 (T ∗ )] 3 such ...
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Numerical Solution of the Three Dimensional Time Harmonic Maxwell Equations by DG Method Coupled with an Integral Representation
... boundary finite element technique is not yet applicable and it is with coupling between finite element method and integral equation method that it is ...the finite element ...
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A Second Order Characteristic Mixed Finite Element Method for Convection Diffusion Reaction Equations
... [24] Bermúdez, A., Nogueiras, M.R. and Vázquez, C. (2006) Numerical Analysis of Convection-Diffusion-Reaction Problems with Higher Order Characteristic/Finite Elements, Part II: Fully Discretized Scheme and ...
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TAYLOR GALERKIN PRESSURE CORRECTION (TGPC) FINITE ELEMENT METHOD FOR INCOMPRESSIBLE NEWTONIAN DIE-SWELL FLOW
... In this study, Taylor Galerkin/pressure-correction (TGPC) approach has been implemented to solve the incompressible Newtonian flow in steady free-surface die swell situations. Here, the numerical solution for ...
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Finite Element Method for a Kind of Two Dimensional Space Fractional Diffusion Equation with Its Implementation
... of finite element method for fractional differential equations is very ...the Galerkin approximating using continuous piecewise polynomial basis functions on a regular triangulation of the ...
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A Study on the Impact of Ethical Behaviour of Firms on Global Competitiveness Ranking
... of Galerkin-weighted- residual finite element method to develop models for predicting velocities and pressure distribution in two- dimensional, viscous-incompressible-steady-laminar- Newtonian fluid ...
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Index Terms — Hydrodynamic lubrication, parabolic slider,
... the finite element solution converges at points ...the finite element method demonstrates that the method can be used to correctly simulate the hydrodynamic scheme of inclined slider bearing ...
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A High Order Nodal Discontinuous Galerkin Method for 1D Morphodynamic Modelling
... The structure of the paper is organized as follows. Section 2 reviews the governing sediment transport equations to be solved. Section 3 describes the numerical scheme and discusses in detail the spatial discretization ...
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