boundary-integral equation approach
Discretization of the Induced-Charge Boundary Integral Equation
... ICC integral equation. As more boundary elements are used, both types of discretizations approach the analytical ...of boundary ele- ments, the qualocation discretization produces much ...
35
Integral equation approach for computing green’s function on doubly connected regions via the generalized Neumann kernel
... z x iy . In our research, for simplicity, we write u(z) instead of u(x,y). Let H be the space of all real Hölder continuous function with exponent on the boundary Γ. The interior Dirichlet problem is ...
6
The wave matching boundary integral equation an energy approach to Galerkin BEM for acoustic wave propagation problems
... new Boundary Integral Equation (BIE) is proposed for solution of the scalar Helmholtz ...a boundary may be decomposed into incoming and outgoing ...
34
A solution with cubic boundary elements for the compressible fluid flow around obstacles
... the boundary element method in which the singular boundary integral equation is solved with cubic boundary ...this approach the singular boundary integral with ...
14
A boundary integral equation with the generalized neumann kernel for a mixed boundary value problem in unbounded multiply connected regions
... 2, Equation 11, both functions have the same ...same approach used in 2, we can prove that the properties of the generalized Neumann kernel proved in 2, except Theorem 8, Theorem 10, and Corollary 2, are ...
18
A fourth-order elliptic Riemann type problem in \(\mathbb{R}^{3}\)
... elliptic equation and construct the explicit expressions of higher-order kernel ...Some integral representation formulas and properties of the null solution of the fourth-order elliptic equations in Clifford ...
19
Discretization of the induced-charge boundary integral equation
... the integral formulation known as the apparent-surface-charge 共ASC兲 method 关32兴, which is also called the induced-charge computation 共 ICC 兲 关 3 兴 ...second-kind integral-equation method for ...
10
Boundary integral equation method for conformal mapping of multiply connected regions
... integral equation with the modified Neumann kernel is constructed to find the values of the derivatives of the mapping function ...Riemann-Hilbert approach with the adjoint generalized Neumann kernel ...
30
The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions
... with integral boundary conditions and have obtained some easily verifiable sufficient criteria which extend previous ...with integral boundary conditions at resonance see, ...unified ...
14
II. THE BOUNDARY INTEGRAL EQUATION
... the boundary integral formulations were obtained in terms of potential functions, or stream function, not in terms of velocity field like the approach considered in this ...
5
An improved numerical solution of the singular boundary integral equation of the compressible fluid flow around obstacles using modified shape functions
... equivalent integral formulations were deduced for it (see ...this approach the singular boundary integral equation with source distribution, for its simplicity, and because it is ...
13
Analysis of a Simple Probe for In Situ Resistivity Measurements
... bore-hole boundary value problems, specifically those employing an integral equation approach (see for example, Zhang [8]; Tsang [9]; Gianzero ...an integral equation ...
10
A Boundary Integral Method For The Planar External Potential Flow Around Airfoils
... a boundary integral equation has been presented for the external potential flow ...The approach of deriving the integral equation is different from the known approaches in the ...
14
A Boundary integral equation for the Neumann problem in bounded multiply connected region
... Our approach in this research is to reduce the Neumann problem to the Riemann-Hilbert problem in multiply connected region, and then derive an integral equation with the Neumann kernel related to the ...
17
Boundary integral equations with the generalized Neumann kernel for laplace's equations in multiply connected regions
... the integral equations (26), (59) and (60) are uniquely solvable, then for sufficiently large number of collocation points on each boundary component, the linear system (78) is also uniquely solvable ...
18
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 ...
6
The inverse problem of the heat equation with periodic boundary and integral overdetermination conditions
... In this paper the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution of a heat equation with periodic boundary and integral overdetermination ...
9
Considerations about Using Truncation Method to Treat the Singularities when Solving with Higher Order Boundary Elements the Boundary Integral Equation of the Compressible Fluid Flow
... same boundary integral equation is solved in [10] by using linear boundary ...quadratic boundary elements are used, but for the singular boundary integrals that arise a ...
5
The Effect of Time Stepping on the Accuracy of Green Element Formulation of Unsteady Convective Transport
... The relative simplicity and the basic principles of the ease of formulation of the finite difference method (FDM) is known to attract many followers especially from the engineering community [3] [4]. The common be- lief ...
13
Theory and applications of the multiwavelets for compression of boundary integral operators
... In chapter 4, we consider two boundary element methods, namely, the standard and non- standard Galerkin methods with multiwavelet basis functions. For both methods applied to operators of the standard analytical ...
150