Finite Element Method on the wave equation
High accuracy analysis of anisotropic finite element method for a class of nonlinear degenerate wave equation
... bilinear finite element method to a class of non-linear degenerate wave equation on anisotropic meshes is considered in this ...degenerate wave equation; anisotropic ...
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The controllability for the semi discrete wave equation with a finite element method
... one-dimensional wave equation with the finite element ...controlled wave equation, with the controls taken from a finite dimensional ...
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A space-time continuous finite element method for 2D viscoelastic wave equation
... Full list of author information is available at the end of the article Abstract In this article, we establish a space-time continuous finite element (STCFE) method for viscoelastic wave ...
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A new approach to convergence analysis of linearized finite element method for nonlinear hyperbolic equation
... hyperbolic equation is a kind of important problems on nonlinear vibration, the permeation fluid mechanics, and so ...two-grid method was studied for solving a type of nonlinear hyper- bolic equations, and ...
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An optimized finite element extrapolating method for 2D viscoelastic wave equation
... This has shown that the OFEE format is feasible and efficient for solving the viscoelastic wave equation. 5 Conclusions In this article, we use the POD technique to build the OFEE format for the D ...
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Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long Time Effects
... 5. Numerical experiments. We shall now demonstrate the accuracy and use- fulness of our FE-HMM-L scheme during both finite- and long-time regimes. First, we validate the optimal convergence rates of Theorems 4.4 and 4.5 ...
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The application of finite element method in burgers’ equation
... of Finite Element method in 1- dimensional Burgers’ ...Burgers’ equation captures very important phenomena surrounding ...differential equation. For this reason, Burgers equation ...
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On numerical issues for the wave/finite element method
... Ill-conditioning occurs when the eigenvalue problem is formed and solved and the resulting errors can become large, especially for complex structures. Zhong’s method is used to improve the conditioning of the ...
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A symmetric nodal conservative finite element method for the Darcy equation
... DARCY EQUATION GABRIEL ...where element-wise depen- dent residual functions, named multi-scale functions, enrich both velocity and pressure trial ...the method and its symmetric version are ...
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Evolving surface finite element method for the Cahn-Hilliard equation
... Cahn-Hilliard equation on an evolving surface using a local conservation ...a finite element discretisation of the continuous ...our finite element scheme and go on to show an optimal ...
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Adaptive Finite Element Method for Steady Convection Diffusion Equation
... convection-diffusion equation in 2-D. The solu- tion of this equation possesses singularities in the form of boundary or interior layers due to non-smooth boundary ...adaptive finite element ...
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A discontinuous Galerkin finite element method for the Zakharov Kuznetsov equation
... (LDG) method for the ZK equation, which is different from the DG method in our ...LDG method for the fractional Zakharov-Kuznetsov equation and proved the stability and ...DG ...
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Weak Galerkin Finite Element Method for the Unsteady Stokes Equation
... Abstract The Weak Galerkin (WG) finite element method for the unsteady Stokes equ- ations in the primary velocity-pressure formulation is introduced in this pa- per. Optimal-order error estimates are ...
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Formulation of Finite Element Method for 1D and 2D Poisson Equation
... The Finite Element Method (FEM) introduced by engineers in late 50's and 60's is a numerical technique for solving problems which are described by Ordinary Differential Equations (ODE) /Partial ...
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Formulation of Finite Element Method for 1-D Poisson Equation
... Abstract -This paper focuses on the use of solving electrostatic one-dimension Poisson differential equation boundary-value problem. Sample problems that introduce the finite element methods are ...
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Solutions of the Schrödinger equation for the ground. helium by finite element method
... The finite element method (FEM) is a numerical algorithm that uses local interpolation methods to solve second-order differential equations describing boundary-value ...accurate wave function ...
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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 ...(Bernoulli’s equation) on the free surface is not fixed and varies with ...The finite element technique is ...
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From Wave Mechanics to Matrix Mechanics: The Finite Element Method
... This is the general outline. The devil is in the details. So we now illustrate the workings of this method by outlining an example. 4 2D: Linear Functions The equations above show that there are a lot of integrals ...
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Linear convergence of an adaptive finite element method for the p-Laplacian equation
... p-LAPLACIAN EQUATION LARS DIENING AND CHRISTIAN KREUZER ...adaptive finite element method for the p-Laplacian like PDE’s using piecewise linear, continuous ...
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Finite Element Method
... simplest finite elements : the 2 nodes-bar element and the 2-nodes plane beam ...31 element is able to support forces in the element direction ...the element (area, Ixx, Iyy, Ixy, ...
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