Abstract
We present Dirichlet to Dirichlet boundary conditions for the heat equation in one, two, and three dimensions. These boundary conditions contain temporal convolution integrals with nonsingular kernels, allowing for an accurate and simple numerical approximation and enabling their straightforward coupling to any numerical scheme. The stability of these boundary conditions is proven using the Kreiss theory.
| Original language | English |
|---|---|
| Pages (from-to) | 1765-1784 |
| Number of pages | 20 |
| Journal | SIAM Journal on Scientific Computing |
| Volume | 33 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2011 |
Keywords
- Artificial boundaries
- Heat equation
- Nonreflecting boundary conditions
- Numerical approximation
- Product quadrature
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics
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