Results 21 to 30 of about 1,709,283 (288)
Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes [PDF]
, 2017 We consider the numerical solution of an inverse problem of finding the shape and location of holes in an elastic body. The problem is solved by minimizing a functional depending on the eigenvalues and traces of corresponding eigenmodes.
Antunes, Pedro R. S. +2 more
core +1 more source
Journal of Marine Science and Engineering, 2023 The moving pseudo-boundary method of fundamental solutions (MFS) was employed to solve the Laplace equation, which describes the potential flow in a two-dimensional (2D) numerical wave tank.
Chengyan Wang +3 more
doaj +1 more source
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
Inverse heat conduction problems by using particular solutions [PDF]
, 2011 Based on the method of fundamental solutions, we develop in this paper a new computational method to solve two-dimensional transient heat conduction inverse problems.
Belytschko +20 more
core +1 more source
Method of fundamental solutions for a conductivity problem
Applied Mathematics in Science and EngineeringA numerical solution of the interior Dirichlet problem for the homogeneous conductivity equation is considered. After introducing certain assumptions and discretization of the domain, the boundary value problem for a second-order elliptic equation with ...
Andriy Beshley, Ihor Borachok
doaj +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
doaj +1 more source
Stress analysis of elastic bi-materials by using the localized method of fundamental solutions
AIMS Mathematics, 2022 The localized method of fundamental solutions belongs to the family of meshless collocation methods and now has been successfully tried for many kinds of engineering problems.
Juan Wang +3 more
doaj +1 more source
A well conditioned Method of Fundamental Solutions
, 2021 The method of fundamental solutions (MFS) is a numerical method for solving boundary value problems involving linear partial differential equations. It is well known that it can be very effective assuming regularity of the domain and boundary conditions.
openaire +2 more sources
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
Lightning-fast Method of Fundamental Solutions
ACM Transactions on GraphicsThe method of fundamental solutions (MFS) and its associated boundary element method (BEM) have gained popularity in computer graphics due to the reduced dimensionality they offer: for three-dimensional linear problems, they only require variables on the domain boundary to solve and evaluate the solution throughout space, making them a valuable tool in
Jiong Chen +2 more
openaire +3 more sources