35 years of advancements with the complex variable boundary element method
نویسندگان
چکیده
منابع مشابه
Modeling mixed boundary conditions in a Hilbert space with the complex variable boundary element method (CVBEM)
The Laplace equation that results from specifying either the normal or tangential force equilibrium equation in terms of the warping functions or its conjugate can be modeled as a complex variable boundary element method or CVBEM mixed boundary problem. The CVBEM is a well-known numerical technique that can provide solutions to potential value problems in two or more dimensions by the use of an...
متن کاملModeling Mixed Boundary Problems with the Complex Variable Boundary Element Method (cvbem) Using Matlab and Mathematica
The complex variable boundary element method or CVBEM is a numerical technique that can provide solutions to potential value problems in two or more dimensions by the use of an approximation function that is derived from the Cauchy integral equation in complex analysis. Given the potential values (i.e. a Dirichlet problem) along the boundary, the typical problem is to use the potential function...
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The complex variable boundary element method, CVBEM, employs the Cauchy integral with any complex variable (e.g., complex potential, complex flux, or complex velocity) to solve boundary value problems. The CVBEM formulation is consistent with the primal and dual solutions of the boundary integral equation, as well as the analytic element method. The resulting problem is overdetermined because t...
متن کاملA complex variable boundary element method for axisymmetric heat conduction in a nonhomogeneous solid
A complex variable boundary element method is proposed for solving numerically the axisymmetric steady-state problem of heat conduction in a nonhomogeneous isotropic solid. To assess the validity and the accuracy of the method, it is applied to solve specific cases of the problem. The numerical solutions obtained agree well with known solutions.
متن کاملApplication of the Kudryashov method and the functional variable method for the complex KdV equation
In this present work, the Kudryashov method and the functional variable method are used to construct exact solutions of the complex KdV equation. The Kudryashov method and the functional variable method are powerful methods for obtaining exact solutions of nonlinear evolution equations.
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ژورنال
عنوان ژورنال: International Journal of Computational Methods and Experimental Measurements
سال: 2018
ISSN: 2046-0546,2046-0554
DOI: 10.2495/cmem-v7-n1-1-13