A robust moving mesh method for spectral collocation solutions of time-dependent partial differential equations

2015 ◽  
Vol 294 ◽  
pp. 297-311 ◽  
Author(s):  
Christopher J. Subich
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Time Dependent ◽  
Moving Mesh ◽  
Moving Mesh Method ◽  
Spectral Collocation ◽  
Partial Differential ◽  
Mesh Method

scholarly journals Fireshape: a shape optimization toolbox for Firedrake

2021 ◽  
Vol 63 (5) ◽  
pp. 2553-2569
Author(s):  
Alberto Paganini ◽  
Florian Wechsung
Keyword(s):  
Finite Element ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Shape Optimization ◽  
Open Source ◽  
Optimization Problems ◽  
Moving Mesh ◽  
Moving Mesh Method ◽  
Finite Element Software ◽  
Mesh Method

AbstractWe introduce Fireshape, an open-source and automated shape optimization toolbox for the finite element software Firedrake. Fireshape is based on the moving mesh method and allows users with minimal shape optimization knowledge to tackle with ease challenging shape optimization problems constrained to partial differential equations (PDEs).

Beam Vibrations With Time-Dependent Boundary Conditions

1950 ◽  
Vol 17 (4) ◽  
pp. 377-380
Author(s):  
R. D. Mindlin ◽  
L. E. Goodman
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Separation Of Variables ◽  
Boundary Value ◽  
Time Dependent ◽  
Partial Differential ◽  
Linear Partial Differential Equations ◽  
Vibration Problems

Abstract A procedure is described for extending the method of separation of variables to the solution of beam-vibration problems with time-dependent boundary conditions. The procedure is applicable to a wide variety of time-dependent boundary-value problems in systems governed by linear partial differential equations.

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