Boundary approximation methods for potential problems associated with moving boundary problems

Boundary element methods for potential problems with nonlinear boundary conditions

Galerkin boundary element methods for the solution of novel first kind Steklov–Poincaré and hypersingular operator boundary integral equations with nonlinear perturbations are investigated to solve potential type problems in twoand three-dimensional Lipschitz domains with nonlinear boundary conditions. For the numerical solution of the resulting Newton iterate linear boundary integral equations...

L2-transforms for boundary value problems

In this article, we will show the complex inversion formula for the inversion of the L2-transform and also some applications of the L2, and Post Widder transforms for solving singular integral equation with trigonometric kernel. Finally, we obtained analytic solution for a partial differential equation with non-constant coefficients.

High-Order Finite Element Methods for Moving Boundary Problems with Prescribed Boundary Evolution

We introduce a framework for the design of finite element methods for two-dimensional moving boundary problems with prescribed boundary evolution that have arbitrarily high order of accuracy, both in space and in time. At the core of our approach is the use of a universal mesh: a stationary background mesh containing the domain of interest for all times that adapts to the geometry of the immers...

Moving Boundary Problems with Nonlinear Diffusion

Special boundary approximation methods for laplace equation problems with boundary singularities - Applications to the motz problem

K e y w o r d s E l l i p t i c equation, Boundary singularity, Singular coefficients, Error estimates, Convergence. 1. I N T R O D U C T I O N As in Li [1], we e m p l o y the t e r m boundary approzimation method ( B A M ) for numer ica l m e t h o d s used for t h e so lu t ion of b o u n d a r y va lue p rob lems w h e n the so lu t ion is a p p r o x i m a t e d over t he ent i re d o m a ...