A DOMAIN EMBEDDING METHOD FOR DIRICHLET PROBLEMS IN ARBITRARY SPACE DIMENSION

An embedding method for the discretization of Dirichlet boundary value problems over general domains in arbitrary space dimension is propose d. The main advantage of the method lies in the use of Cartesian coord inates independent of the underlying domain. Error estimates and aspec ts of the numerical realization are considered. To obtain an efficient solver for the resulting linear system of equations an easy-to-use pr econditioning is recommended and analyzed. A variety of numerical expe riments illustrate and confirm the theoretical results. (C) Elsevier, Paris.