Interior estimates for time discretizations of parabolic equations
β Scribed by Christian Lubich; Alexander Ostermann
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 592 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0168-9274
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π SIMILAR VOLUMES
We study the backward Euler method with variable time steps for abstract evolution equations in Hilbert spaces. Exploiting convexity of the underlying potential or the angle-bounded condition, thereby assuming no further regularity, we derive novel a posteriori estimates of the discretization error
Sharp estimates are given for the constants appearing in both the smoothing effect of general self-adjoint contraction semi-groups and uniform estimates for the linear heat equation. The last estimate is used to prove rather sharp global existence results for some nonlinear perturbations and suitabl