scholarly journals A randomized and fully discrete Galerkin finite element method for semilinear stochastic evolution equations

2019 ◽  
Vol 88 (320) ◽  
pp. 2793-2825
Author(s):  
Raphael Kruse ◽  
Yue Wu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Evolution Equations ◽  
Stochastic Evolution ◽  
Stochastic Evolution Equations ◽  
Galerkin Finite Element Method ◽  
Galerkin Finite Element ◽  
Fully Discrete ◽  
Element Method

Fully Discrete Galerkin Finite Element Method for the Cubic Nonlinear Schrödinger Equation

2017 ◽  
Vol 10 (3) ◽  
pp. 671-688 ◽  
Author(s):  
Jianyun Wang ◽  
Yunqing Huang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Galerkin Finite Element Method ◽  
Galerkin Finite Element ◽  
Fully Discrete ◽  
Cubic Nonlinear Schrödinger Equation ◽  
Element Method

AbstractThis paper is concerned with numerical method for a two-dimensional time-dependent cubic nonlinear Schrödinger equation. The approximations are obtained by the Galerkin finite element method in space in conjunction with the backward Euler method and the Crank-Nicolson method in time, respectively. We prove optimalL2error estimates for two fully discrete schemes by using elliptic projection operator. Finally, a numerical example is provided to verify our theoretical results.

A Petrov–Galerkin finite element method for simulating chemotaxis models on stationary surfaces

2020 ◽  
Vol 79 (11) ◽  
pp. 3189-3205
Author(s):  
Shubo Zhao ◽  
Xufeng Xiao ◽  
Jianping Zhao ◽  
Xinlong Feng
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Galerkin Finite Element Method ◽  
Galerkin Finite Element ◽  
Chemotaxis Models ◽  
Element Method

An Upwind Nonlinear Galerkin Finite Element Method For The Stationary Navier-Stokes Equations

2010 ◽  
Author(s):  
Juan Wen ◽  
Jane W. Z. Lu ◽  
Andrew Y. T. Leung ◽  
Vai Pan Iu ◽  
Kai Meng Mok
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Galerkin Finite Element Method ◽  
Navier Stokes Equations ◽  
Galerkin Finite Element ◽  
Stationary Navier Stokes Equations ◽  
Element Method

A primal discontinuous Petrov-Galerkin Finite Element Method for linear elasticity

PAMM ◽  
2017 ◽  
Vol 17 (1) ◽  
pp. 83-86
Author(s):  
Tobias Steiner ◽  
Peter Wriggers
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Linear Elasticity ◽  
Galerkin Finite Element Method ◽  
Galerkin Finite Element ◽  
Element Method

A Petrov–Galerkin finite element method for the fractional advection–diffusion equation

2016 ◽  
Vol 309 ◽  
pp. 388-410 ◽  
Author(s):  
Yanping Lian ◽  
Yuping Ying ◽  
Shaoqiang Tang ◽  
Stephen Lin ◽  
Gregory J. Wagner ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Diffusion Equation ◽  
Galerkin Finite Element Method ◽  
Galerkin Finite Element ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Element Method
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