Galerkin boundary integral equation method for spontaneous rupture propagation problems: SH-case

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

Integral Equation Methods for Free Boundary Problems∗

We outline a unified approach for treating free boundary problems arising in Finance using integral equation methods. Starting with the PDE formulations of the free boundary problems, we show how to derive nonlinear integral equations for the free boundaries in a variety of Finance applications. Methods to treat theoretical (existence, uniqueness) questions and analytical and numerical approxim...

A hybrid boundary integral equation method for the computation of source time functions for 3-D rupture propagation

A hybrid space and spatial transform convolution method is developed for computing source time functions based on numerically solving an integral equation formulation of the mixed boundary value problem for fault displacements and tractions. The space domain method is an adaptation of the method of Das (1980) in which the displacements on the broken region of the crack and the tractions on the ...

Time-dependent problems with the boundary integral equation method

Time-dependent problems that are modeled by initial-boundary value problems for parabolic or hyperbolic partial differential equations can be treated with the boundary integral equation method. The ideal situation is when the right-hand side in the partial differential equation and the initial conditions vanish, the data are given only on the boundary of the domain, the equation has constant co...

The Boundary Integral Equation Method