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boundary integral

II.T HE DISCRETE FORM OF THE BOUNDARY INTEGRAL

II.T HE DISCRETE FORM OF THE BOUNDARY INTEGRAL

... the Boundary Element Method (BEM) reduces the problem to a system of linear ...singular boundary integral ...singular boundary integral equation different discretization schemes can be ...

6

A boundary integral formalism for stochastic ray tracing in billiards

A boundary integral formalism for stochastic ray tracing in billiards

... new boundary integral approach based on the use of stochastic evolution operators to incorporate uncertain ray dynamics into our model in a quantifiable ...

9

Discretization of the Induced-Charge Boundary Integral Equation

Discretization of the Induced-Charge Boundary Integral Equation

... We have presented the collocation and qualocation approaches to solving the ICC boundary-integral equation for electrostatic analysis of channel proteins. Our results il- lustrate that computation of the ...

35

Discretization of the induced-charge boundary integral equation

Discretization of the induced-charge boundary integral equation

... We have presented the collocation and qualocation ap- proaches to solving the ICC boundary integral equation for electrostatic analysis of channel proteins. Our results illus- trate that the computation of ...

10

A boundary integral equation for the exterior neumann problem on multiply connected region

A boundary integral equation for the exterior neumann problem on multiply connected region

... Besides conformal mapping, there are still many techniques from various mathematics fields for solving the Neumann problem such as finite difference method, finite element method, iterative method, collocation method and ...

14

A New Iterative Method for Multi Moving Boundary Problems Based Boundary Integral Method

A New Iterative Method for Multi Moving Boundary Problems Based Boundary Integral Method

... multi-moving boundary problems continuously with time up to the end of the process with high accuracy and minimum number of ...the boundary integral equation method is developed to track the moving ...

12

In–out decomposition of boundary integral equations

In–out decomposition of boundary integral equations

... through a surface of section cutting through the domain of interest or split into an incoming and outgoing wave component at (parts of) the boundary of a cavity. The formalism by Smilansky et al and Prosen rely on ...

33

II. THE BOUNDARY INTEGRAL EQUATION

II. THE BOUNDARY INTEGRAL EQUATION

... singular boundary integral equation of the 3D compressible fluid flow around an obstacle, which uses isoparametric linear boundary elements of Lagrangean ...singular boundary integral ...

5

II. THE BOUNDARY INTEGRAL EQUATION

II. THE BOUNDARY INTEGRAL EQUATION

... the boundary with a distribution of sources of unknown intensity, f, first there are deduced the components of the perturbation velocity in the fluid domain and then with a limit process their expressions on the ...

6

Solutions of certain boundary integral equations in potential theory

Solutions of certain boundary integral equations in potential theory

... the boundary. This leads to a Fredholm integral equation of the first kind for the source density distribution on the ...Fredholm integral equation of the second kind for the source density ...

211

The Calculation Methods for Solving a Kind of Boundary Value Problems in Elasticity

The Calculation Methods for Solving a Kind of Boundary Value Problems in Elasticity

... Zeng, Splitting extrapolation algorithms for solving the boundary integral equations of Steklov problems on polygons by mechanical quadrature methods.. Engineering Analysis with Boundary[r] ...

7

Thermal Bending of Circular Plates for Non Axisymmetrical Problems

Thermal Bending of Circular Plates for Non Axisymmetrical Problems

... Using the Green function, the boundary integral formula and natural boundary integral equation for thermal elastic problems are obtained. Then based on bending solutions to circular plates ...

6

Existence of multiple positive solutions to integral boundary value systems with boundary multiparameters

Existence of multiple positive solutions to integral boundary value systems with boundary multiparameters

... condition u(0) = 0 = v(0) at the same time. This is a challenging case since these conditions do not allow us to construct a proper open set, which is very crucial for applying the fixed point index theory. Hence we ...

16

Higher order multi-point fractional boundary value problems with integral boundary conditions

Higher order multi-point fractional boundary value problems with integral boundary conditions

... the boundary value problems for fractional differential equations recently has attracted a great deal of attention from many ...fractional boundary value problems, for instance, [1, 7, 8, 16, 35] and the ...

14

Some new results on the boundary behaviors of harmonic functions with integral boundary conditions

Some new results on the boundary behaviors of harmonic functions with integral boundary conditions

... In this paper, we obtain two new results on the lower bounds of harmonic functions with integral boundary conditions in a smooth cone (Theorems  and ), which further extend Theorems A, B, and C. Our ...

8

Asymptotics for Nonlinear Evolution Equation with Module-Fractional Derivative on a Half-Line

Asymptotics for Nonlinear Evolution Equation with Module-Fractional Derivative on a Half-Line

... continuation of each other through the contour Re z 0. Consequently, they are branches of a unique analytic function in the entire plane. According to Liouville theorem this function is some arbitrary constant A. Thus, ...

29

Nontrivial solutions for a boundary value problem with integral boundary conditions

Nontrivial solutions for a boundary value problem with integral boundary conditions

... the boundary conditions in BVP (.) are the Riemann-Stieltjes integral, which includes multi-point boundary conditions in BVPs as special ...to boundary value problems with integral ...

8

Existence of Solutions of Second Order Boundary Value Problems with Integral Boundary Conditions and Singularities

Existence of Solutions of Second Order Boundary Value Problems with Integral Boundary Conditions and Singularities

... Henstock-Kurzweil integral, we investigate the existence of continuous solutions for the second order boundary value problems with integral boundary conditions in which the nonlinearities ft, ...

13

Existence results for nonlinear boundary value problems with integral boundary conditions on an infinite interval

Existence results for nonlinear boundary value problems with integral boundary conditions on an infinite interval

... time, boundary value problems with integral boundary conditions are of great importance and are an interesting class of ...nonlocal boundary value problems as special ...on integral ...

17

Multiple positive solutions for a second-order boundary value problem with integral boundary conditions

Multiple positive solutions for a second-order boundary value problem with integral boundary conditions

... multi-point boundary value problems for second-order differential equations ex- tensively, see [–] and the references ...years, boundary value problems with integral boundary conditions also ...

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