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An inverse method of fundamental solutions for the identification of 2D elastic properties of anisotropic solids
There are six elastic constants for an anisotropic body in plane strain/stress conditions. In the inverse problem of this study, it is assumed that...
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Fundamental Solutions
Fundamental solutions relate to solve boundary problems in case of point loading action. This is a finite force applied at a point: a surface of zero...
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Multiscale thermoelastic modelling of composite strands using the “fundamental solutions” method
A novel computationally effective approach to multiscale thermoelastic modelling of composite structures and its application to a thermomechanical...
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Coupling of the Method of Fundamental Solutions and the Domain Decomposition Technique for Solving Laplace Equation
In this work, we are interested in combining the method of fundamental solutions (MFS) with the domain decomposition technique for solving Laplace...
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Complete Parametric Solutions to the Fundamental Problem in High-order Fully Actuated System Approach
The high-order fully actuated system (HOFAS) approach has recently been proposed, aiming at establishing a unified architecture for control of...
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Stress analysis of anti-plane finite elastic solids with hole by the method of fundamental solutions using conformal map** technique
Stress fields of anti-plane finite elastic solids containing hole subjected to the traction or displacement boundaries are studied by using the...
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Fundamental Theory of the Lattice Boltzmann Method
In this chapter, we introduce the fundamental lattice Boltzmann method (LBM)Computational fluid dynamics (CFD)lattice Boltzmann method (LBM) theory...
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Compensation method of PWM inverter output voltage under low sampling-to-fundamental frequency ratio operating conditions
This paper proposed a compensation method for the output voltage errors of a PWM inverter. Output voltage errors occur under low...
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The Method of Polynomial Particular Solutions for Solving Nonlinear Poisson-Type Equations
In this paper, the method of polynomial particular solutions is used to solve nonlinear Poisson-type partial differential equations in one, two, and...
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On fundamental solution of Moore–Gibson–Thompson (MGT) thermoelasticity theory
In the theory of partial differential equations, the fundamental solutions have undoubtedly occupied serious attention, as they have a critical role...
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A Novel Method for Selecting Inverse Kinematic Solutions Based on Configuration Space Partition for 6R Noncuspidal Manipulators
The selection of an optimal solution from multiple inverse kinematics solutions (IKSs) is a fundamental task in manipulator motion. However, the...
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Elastic–plastic torsion problem with non-linear hardenings using the method of fundamental solution
In the current research, a torsion of isotropic prismatic rods with elastic–plastic behavior under non-linear hardening behavior, such as Swift,...
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Robust Method for Estimating the Fundamental Matrix by a Hybrid Optimization Algorithm
In this paper, we present a new method for estimating the fundamental matrix by a hybrid algorithm that combines the Genetic Algorithm with...
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The Extended Rayleigh–Ritz Method for Higher Order Approximate Solutions of Nonlinear Vibration Equations
An extension has been made with the popular Rayleigh–Ritz method by integrating the Lagrangian functional of a nonlinear vibration equation of motion...
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On Solutions of Biological Models Using Reproducing Kernel Hilbert Space Method
Differential equations (DEs, for short) are becoming more and more indispensable for modeling real-life problems. Modeling and then analyzing these...
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Fundamental Principles of Facilities Planning and Design
This chapter introduces many of the fundamental principles and concepts germane to all of facilities planning. Fundamental principles underlying the...
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Designing the Optimal Shape of a Nozzle by the Method of Fundamental Solutions
In this paper, we propose a numerical technique based on the method of fundamental solutions (MFS) for solving a classical optimal shape design...
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Localized space–time method of fundamental solutions for three-dimensional transient diffusion problem
AbstractA localized space–time method of fundamental solutions (LSTMFS) is extended for solving three-dimensional transient diffusion problems in...
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A Study on Determination of the Fundamental Period of Earth Dams through Experimental, Empirical, Numerical, and Analytical Methods
BackgroundVarious methodologies for estimating fundamental periods in earth dams have been developed, each striving for supremacy within their...
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Constrained parameter-splitting perturbation method for the improved solutions to the nonlinear vibrations of Euler–Bernoulli cantilevers
In this paper, a new method named constrained parameter-splitting perturbation method for improving the solutions obtained from the...
