|
|||||
|
|
Regularization Techniques for Numerical Approximation of PDEs with Singularities |
|
| Authors: | Anna-Karin Tornberg Björn Engquist |
| Affiliation: | (1) Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York, 10012-1185;(2) PACM and Department of Mathematics, Princeton University, Princeton, New Jersey, 08544-1000;(3) Department of Mathematics, UCLA, Los Angeles, California, 90095 |
| Abstract: | The rate of convergence for numerical methods approximating differential equations are often drastically reduced from lack of regularity in the solution. Typical examples are problems with singular source terms or discontinuous material coefficients. We shall discuss the technique of local regularization for handling these problems. New numerical methods are presented and analyzed and numerical examples are given. Some serious deficiencies in existing regularization methods are also pointed out. |
| Keywords: | discontinuous coefficients singular source terms local regularization moment conditions |
| 本文献已被 SpringerLink 等数据库收录！ | |