scholarly journals Space-Time adaptive algorithm for the mixed parabolic problem

2006 ◽  
Vol 103 (3) ◽  
pp. 367-392 ◽  
Author(s):  
J. M. Cascón ◽  
L. Ferragut ◽  
M. I. Asensio
Keyword(s):  
Adaptive Algorithm ◽  
Parabolic Problem ◽  
Space Time

Fujita exponents for a space–time weighted parabolic problem in bounded domains

2021 ◽  
Vol 62 ◽  
pp. 103358
Author(s):  
Xizheng Sun ◽  
Bingchen Liu ◽  
Fengjie Li
Keyword(s):  
Parabolic Problem ◽  
Space Time ◽  
Bounded Domains

A Space-Time Adaptive Algorithm to Illustrate the Lack of Collision of a Rigid Disk Falling in an Incompressible Fluid

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Samuel Dubuis ◽  
Marco Picasso ◽  
Peter Wittwer
Keyword(s):  
Adaptive Algorithm ◽  
Piecewise Linear ◽  
A Posteriori Error Estimates ◽  
Time Discretization ◽  
Posteriori Error ◽  
Space Time ◽  
Rigid Disk ◽  
Incompressible Viscous Flow ◽  
Space Discretization ◽  
Solid Bodies

AbstractA space-time adaptive algorithm to solve the motion of a rigid disk in an incompressible Newtonian fluid is presented, which allows collision or quasi-collision processes to be computed with high accuracy. In particular, we recover the theoretical result proven in [M. Hillairet, Lack of collision between solid bodies in a 2D incompressible viscous flow, Comm. Partial Differential Equations 32 2007, 7–9, 1345–1371], that the disk will never touch the boundary of the domain in finite time. Anisotropic, continuous piecewise linear finite elements are used for the space discretization, the Euler scheme for the time discretization. The adaptive criteria are based on a posteriori error estimates for simpler problems.

Superconvergence of the Space-Time Continuous Finite Elements with Interpolated Coefficients for Semilinear Parabolic Problems

2011 ◽  
Vol 314-316 ◽  
pp. 1670-1675 ◽  
Author(s):  
Zhi Guang Xiong ◽  
Guo Rong Chen ◽  
Xue Ling Wang
Keyword(s):  
Finite Element Method ◽  
Parabolic Problem ◽  
Linear Problem ◽  
Expansion Method ◽  
Space Time ◽  
Parabolic Problems ◽  
Orthogonal Expansion ◽  
Semilinear Parabolic ◽  
Global Error Estimates ◽  
Semilinear Parabolic Problem

In this article, a space-time continuous finite element method with interpolated coefficients for a class of semilinear parabolic problem is introduced and analyzed. Basic global error estimates are established under the convergence assumption for linear problem. Further application of the orthogonal expansion method which is to construct some superapproximate interpolating functions, the supperconvergence on mesh nodes is proved. Finally the result is tested by a numerical example.

Space, Time and Einstein

2002 ◽  
Author(s):  
J. B. Kennedy
Keyword(s):  
Space Time

Spinors and Space-Time

1984 ◽  
Author(s):  
Roger Penrose ◽  
Wolfgang Rindler
Keyword(s):  
Space Time
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