An adaptive boundary algorithm for the reconstruction of boundary and initial data using the method of fundamental solutions for the inverse Cauchy–Stefan problem

2021 ◽  
Vol 40 (3) ◽  
Author(s):  
G. M. M. Reddy ◽  
P. Nanda ◽  
M. Vynnycky ◽  
J. A. Cuminato
Keyword(s):  
Initial Data ◽  
Stefan Problem ◽  
Fundamental Solutions ◽  
Method Of Fundamental Solutions

A Meshless Regularization Method for a Two-Dimensional Two-Phase Linear Inverse Stefan Problem

2013 ◽  
Vol 5 (06) ◽  
pp. 825-845 ◽  
Author(s):  
B. Tomas Johansson ◽  
Daniel Lesnic ◽  
Thomas Reeve
Keyword(s):  
Stefan Problem ◽  
Regularization Method ◽  
Input Data ◽  
Stable Solution ◽  
Higher Dimensions ◽  
Fundamental Solutions ◽  
Method Of Fundamental Solutions ◽  
Two Dimensional ◽  
Two Phase ◽  
Ill Posed

AbstractIn this paper, a meshless regularization method of fundamental solutions is proposed for a two-dimensional, two-phase linear inverse Stefan problem. The numerical implementation and analysis are challenging since one needs to handle composite materials in higher dimensions. Furthermore, the inverse Stefan problem is ill-posed since small errors in the input data cause large errors in the desired output solution. Therefore, regularization is necessary in order to obtain a stable solution. Numerical results for several benchmark test examples are presented and discussed.

Improved geometric modeling using the method of fundamental solutions

2021 ◽  
Vol 130 ◽  
pp. 49-57
Author(s):  
C.S. Chen ◽  
Lionel Amuzu ◽  
Kwesi Acheampong ◽  
Huiqing Zhu
Keyword(s):  
Geometric Modeling ◽  
Fundamental Solutions ◽  
Method Of Fundamental Solutions

scholarly journals Influence of fish backbone model geometrical features on the numerical target strength of swimbladdered fish

2020 ◽  
Author(s):  
I Pérez-Arjona ◽  
L Godinho ◽  
V Espinosa
Keyword(s):  
Atlantic Salmon ◽  
Salmo Salar ◽  
Sparus Aurata ◽  
Fundamental Solutions ◽  
Sea Bream ◽  
Method Of Fundamental Solutions ◽  
Target Strength ◽  
Simplified Models ◽  
Geometrical Features ◽  
Proper Estimation

Abstract The method of fundamental solutions has been applied to evaluate the influence of fish models geometrical features on the target strength (TS) directivity and TS frequency response of swimbladdered fish. Simplified models were considered for two fish species: gilt-head sea bream (Sparus aurata, Linnaeus 1758) and Atlantic salmon (Salmo salar, Linnaeus 1758), and different geometrical details of their morphology were studied, such as backbone presence, and its curvature or the inclusion of vertebrae modulation. Swimbladder shape and tilt, together with the inclusion of backbone (and its realistic curvature) for dorsal measurements were the most important features for proper estimation of mean TS. The estimation of mean TS is considered including the effect of fish tilt, the echosounder frequency, and the fish-to-transducer distance.

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