The Weak Galerkin Method for Linear Hyperbolic Equation
نویسندگان
چکیده
منابع مشابه
On Petrov-galerkin Formulations for the Linear Hyperbolic Equation
We consider conforming Petrov-Galerkin formulations for the advective and advec-tive-diiusive equations. For the linear hyperbolic equation, the continuous formulation is set up using diierent spaces and the discretization follows with diierent \bubble" enrichments for the test and trial spaces. Boundary conditions for residual-free bubbles are modiied to accommodate with the rst order equation...
متن کاملA Continuous Wavelet-galerkin Method for the Linear Wave Equation
We consider the continuous space-time Galerkin method for the linear second-order wave equation proposed by French and Peterson in 1996. A bottleneck for this approach is how to solve the discrete problems effectively. In this paper, we tackle this bottleneck by essentially employing wavelet bases in space. We show how to decouple the corresponding linear system and we prove that the resulting ...
متن کاملA Simplified Galerkin Method for Hyperbolic Equations
We modify a Galerkin method for nonlinear hyperbolic equations so that it becomes a simpler method of lines, which may be viewed as a collocation method. The high order of accuracy is preserved. We present a linear wave analysis of the scheme and discuss some aspects of nonlinear problems. Our numerical experiments indicate that the addition of a proper artificial viscosity makes the method com...
متن کاملGalerkin Method for the Numerical Solution of the Advection-Diffusion Equation by Using Exponential B-splines
In this paper, the exponential B-spline functions are used for the numerical solution of the advection-diffusion equation. Two numerical examples related to pure advection in a finitely long channel and the distribution of an initial Gaussian pulse are employed to illustrate the accuracy and the efficiency of the method. Obtained results are compared with some early studies.
متن کاملA Hybridized Weak Galerkin Finite Element Method for the Biharmonic Equation
This paper presents a hybridized formulation for the weak Galerkin finite element method for the biharmonic equation based on the discrete weak Hessian recently proposed by the authors. The hybridized weak Galerkin scheme is based on the use of a Lagrange multiplier defined on the element interfaces. The Lagrange multiplier is verified to provide a numerical approximation for certain derivative...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Computational Physics
سال: 2018
ISSN: 1815-2406
DOI: 10.4208/cicp.oa-2017-0052