Results 21 to 30 of about 345,470 (293)
An enhanced BEM approach applied to potential problems: a comparative study [PDF]
Numerical Methods in Civil Engineering, 2020 In the present paper, a hybrid analytical/numerical method capable of integrating singular logarithmic functions, as an essential part of the Boundary Element Method (BEM) process, is presented.
Parham Azhir +3 more
doaj +1 more source
A Simple and Efficient Regularization Method for 3D BEM: Application to Frequency-Domain Elastodynamics [PDF]
, 2005 An efficient and easy-to-implement method is proposed to regularize integral equations in the 3D boundary element method (BEM). The method takes advantage of an assumed three-noded triangle discretization of the boundary surfaces.
Dangla, Patrick +3 more
core +6 more sources
A singular function boundary integral method for elliptic problems with singularities [PDF]
PAMM, 2007 AbstractIn this work we present a singular function boundary integral method for elliptic problems with boundary singularities. In this method, the approximation is constructed from the truncated asymptotic expansion for the solution near the singular point and the Dirichlet boundary conditions are weakly enforced by means of Lagrange multiplier ...
Christos Xenophontos +2 more
openaire +1 more source
An improved version of artificial boundary node approach
Computer Assisted Methods in Engineering and Science, 2022 This paper proposes an improvement of the artificial boundary node approach using the least square method. The original artificial boundary node approach requires the selection of an offset by the user.
Bahattin Kanber
doaj
Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation [PDF]
, 2009 A method for constructing the exact quadratures for Müntz and Müntz-logarithmic polynomials is presented. The algorithm does permit to anticipate the precision (machine precision) of the numerical integration of Müntz-logarithmic polynomials in terms of ...
Abramowitz +40 more
core +1 more source
Quasilinearization method and nonlocal singular three point boundary value problems
Electronic Journal of Qualitative Theory of Differential Equations, 2009 The method of upper and lower solutions and quasilinearization for nonlinear singular equations of the type $$-x''(t) +\lambda x'(t)= f(t,x(t)),\,t\in (0,1),$$ subject to nonlocal three-point boundary conditions $$x(0)=\delta x(\eta),\quad x(1)=0, \quad ...
Rahmat Khan
doaj +1 more source
Multi-Peak Solutions for a Wide Class of Singular Perturbation Problems [PDF]
, 1999 In this paper we are concerned with a wide class of singular perturbation problems arising from such diverse fields as phase transitions, chemotaxis, pattern formation, population dynamics and chemical reaction theory.
Wei, J, Winter, M
core +2 more sources
, 2017 The general space-time evolution of the scattering of an incident acoustic plane wave pulse by an arbitrary configuration of targets is treated by employing a recently developed non-singular boundary integral method to solve the Helmholtz equation in the
Chan, Derek Y. C. +2 more
core +1 more source
Application of the Method of Boundary Integral Equations for Non-stationary Problem of Thermal Conductivity in Axially Symmetric Domain [PDF]
, 2017 The article considers the non-stationary initial-boundary problem of thermal conductivity in axially symmetric domain in Minkowski space, formulated as equivalent boundary integral equation.
Zrazhevska, V. (Vera) +1 more
core +2 more sources
, 2018 We present an effective harmonic density interpolation method for the numerical evaluation of singular and nearly singular Laplace boundary integral operators and layer potentials in two and three spatial dimensions. The method relies on the use of Green'
Faria, Luiz M. +2 more
core +3 more sources