Open AccessA General Algorithm of the Boundary Integral Method for Solving Laplace’s Mixed Boundary Value Problem
Author(s) -
Rajesh Kumar Pal,
Pradeep Kothiyal,
Deependra Nigam
Publication year - 2021
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2021/v17i130266
Subject(s) - mathematics , boundary value problem , laplace's equation , free boundary problem , mixed boundary condition , boundary (topology) , mathematical analysis , laplace transform , poincaré–steklov operator , singular boundary method , boundary knot method , method of fundamental solutions , partial differential equation , robin boundary condition , boundary element method , finite element method , physics , thermodynamics
Boundary elements have emerged as a powerful alternative to finite elements particularly in cases where better accuracy is required. The most important features of boundary elements however is that it only requires descretization of the surface rather than the volume. Here, A general algorithm of the boundary integral method has been formulated for solving elliptic partial differential equations. The broad applicability of the approach is illustrated with a problem of practical interest giving the solution of the Laplace equation for potential flow with mixed boundary problems. The results and patterns are shown in tables and figures and compared well with Brebbia [1] are found in good agreement.