Results 31 to 40 of about 1,784,799 (325)
NUMERICAL SOLUTION TO BOUNDARY PROBLEMS FOR POISSON EQUATION BY POINTSOURCE METHOD
Advanced Engineering Research, 2014 The aim o f t his p a p e r is t h e e fficie n c y im p r o v e m e n t o f o n e o f t h e m o s t a d v a n c e d t e c h niq u e s o f s olvin g t h e ellip tic b o u n d a r y v alu e p r o ble m s — t h e field p oin t- s o u r c e m e t h o d d e ...
Sergey Yuryevich Knyazev +2 more
doaj +1 more source
Applied Mathematics Letters, 2019 The traditional method of fundamental solutions (MFS) based on the “global” boundary discretization leads to dense and non-symmetric coefficient matrices that, although smaller in sizes, require huge computational cost to compute the system of equations ...
Yan Gu, C. Fan, R. Xu
semanticscholar +1 more source
Weak Continuity and Compactness for Nonlinear Partial Differential Equations [PDF]
, 2015 We present several examples of fundamental problems involving weak continuity and compactness for nonlinear partial differential equations, in which compensated compactness and related ideas have played a significant role.
Chen, Gui-Qiang G.
core +1 more source
Mathematical and Computational ApplicationsThe velocity and trajectory of particles moving along the corrugated (rough) surface under the action of gravity is obtained by a modified Method of Fundamental Solutions (MFS).
Alex Povitsky
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Mathematics, 2022 The localized method of fundamental solutions (LMFS) is a domain-type, meshless numerical method. Compared with numerical methods that have a high grid dependence, it does not require grid generation and numerical integration, so it can effectively ...
Ke Sun +3 more
doaj +1 more source
Localized MFS for three‐dimensional acoustic inverse problems on complicated domains
International Journal of Mechanical System Dynamics, 2022 This paper proposes a semi‐analytical and local meshless collocation method, the localized method of fundamental solutions (LMFS), to address three‐dimensional (3D) acoustic inverse problems in complex domains.
Zengtao Chen +3 more
doaj +1 more source
Journal of the Brazilian Society of Mechanical Sciences and EngineeringThere are six elastic constants for an anisotropic body in plane strain/stress conditions. In the inverse problem of this study, it is assumed that the elastic constants of an anisotropic body are unknown, while the displacements or strains at several ...
M. Hematiyan +5 more
semanticscholar +1 more source
Fundamental Solutions for Hyperbolic Operators with Variable Coefficients [PDF]
, 2010 In this article we describe the novel method to construct fundamental solutions for operators with variable coefficients. That method was introduced in "A note on the fundamental solution for the Tricomi-type equation in the hyperbolic domain"(J ...
Yagdjian, Karen
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The full set of $c_n$-invariant factorized $S$-matrices
, 1992 We use the method of the tensor product graph to construct rational (Yangian invariant) solutions of the Yang-Baxter equation in fundamental representations of $c_n$ and thence the full set of $c_n$-invariant factorized $S$-matrices.
Belavin A A +10 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Oral mucositis is a common and debilitating side effect of childhood cancer and stem cell transplant treatments. It affects the quality of life of children and young people (CYP) and places a strain on services. Photobiomodulation is recommended for oral mucositis prevention in international guidance but is poorly implemented in UK ...
Claudia Heggie +4 more
wiley +1 more source