A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations
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| Publication date | 06-2022 |
| Journal | Advances in Computational Mathematics |
| Article number | 17 |
| Volume | Issue number | 48 | 3 |
| Number of pages | 43 |
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| Abstract | In this work, an r-linearly converging adaptive solver is constructed for parabolic evolution equations in a simultaneous space-time variational formulation. Exploiting the product structure of the space-time cylinder, the family of trial spaces that we consider are given as the spans of wavelets-in-time and (locally refined) finite element spaces-in-space. Numerical results illustrate our theoretical findings. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1007/s10444-022-09930-w |
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A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations
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