Analysis of a continuous Galerkin method with mesh modification for two-dimensional telegraph equation

2020 ◽  
Vol 79 (3) ◽  
pp. 588-602 ◽  
Author(s):  
Zhihui Zhao ◽  
Hong Li ◽  
Yang Liu
Keyword(s):  
Galerkin Method ◽  
Telegraph Equation ◽  
Two Dimensional ◽  
Continuous Galerkin

scholarly journals Existence and Uniqueness Results for Two-Dimensional Stochastic Linearised Boussinesq Equation

2020 ◽  
Vol 6 (1) ◽  
pp. 20
Author(s):  
Sofije Hoxha ◽  
Fejzi Kolaneci
Keyword(s):  
Galerkin Method ◽  
Existence And Uniqueness ◽  
Continuous Dependence ◽  
Boussinesq Equation ◽  
Initial Condition ◽  
Two Dimensional ◽  
Boussinesq Problem ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Drainable Porosity

The water flow in saturated zones of the soil is described by two-dimensional Boussinesq equation. This paper is devoted to investigating the linearised stochastic Boussinesq problem in the presence of randomness in hydraulic conductivity, drainable porosity, recharge, evapotranspiration, initial condition and boundary condition. We use the Sabolev spaces and Galerkin method. Under some suitable assumptions, we prove the existence and uniqueness results, as well as, the continuous dependence on the data for the solution of linearised stochastic Boussinesq problem. Keywords: linearised stochastic Boussinesq equation, Galerkin method, existence and uniqueness results, and continuous dependence on the data.

scholarly journals Locally Conservative Fluxes for the Continuous Galerkin Method

2007 ◽  
Vol 45 (4) ◽  
pp. 1742-1776 ◽  
Author(s):  
Bernardo Cockburn ◽  
Jayadeep Gopalakrishnan ◽  
Haiying Wang
Keyword(s):  
Galerkin Method ◽  
Continuous Galerkin ◽  
Locally Conservative
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