A spectral Galerkin method for a boundary integral equation

A Fast Fourier-Galerkin Method Solving a Boundary Integral Equation for the Biharmonic Equation

s of IWANASP, October 22 – 24, 2015, Lagos, Portugal A FAST FOURIER–GALERKIN METHOD SOLVING A BOUNDARY INTEGRAL EQUATION FOR THE BIHARMONIC EQUATION

A Galerkin spectral method for thermo-convection boundary value problems

In the present work we develop a Galerkin spectral technique for solving coupled higher-order boundary value problems arising in continuum mechanics. The set of the so-called beam functions are used ae a baais together with the harmonic functions. As a featuring example we treat the convective flow of a viscous liquid in a vertical slot. We show that the rate of convergence of the series is fif...

A Numerical Method for Solving Stochastic Volterra-Fredholm Integral Equation

In this paper, we propose a numerical method based on the generalized hat functions (GHFs) and improved hat functions (IHFs) to find numerical solutions for stochastic Volterra-Fredholm integral equation. To do so, all known and unknown functions are expanded in terms of basic functions and replaced in the original equation. The operational matrices of both basic functions are calculated and em...

The Boundary Integral Equation Method

A spectral boundary integral method for flowing blood cells

A spectral boundary integral method for simulating large numbers of blood cells flowing in complex geometries is developed and demonstrated. The blood cells are modeled as finitedeformation elastic membranes containing a higher viscosity fluid than the surrounding plasma, but the solver itself is independent of the particular constitutive model employed for the cell membranes. The surface integ...