Interpolation Operators for parabolic Problems
Rob Stevenson, Johannes Storn
TL;DR
This paper introduces specialized interpolation operators for parabolic problems, providing localized error estimates for tensor product and refined meshes, enhancing numerical solution accuracy.
Contribution
It presents new interpolation operators with proven approximation and stability properties tailored for parabolic PDEs, including localized error estimates.
Findings
Effective interpolation operators for parabolic problems
Localized error estimates for tensor product meshes
Enhanced stability and approximation properties
Abstract
We introduce interpolation operators with approximation and stability properties suited for parabolic problems in primal and mixed formulations. We derive localized error estimates for tensor product meshes (occurring in classical time-marching schemes) as well as locally in space-time refined meshes.
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Taxonomy
TopicsAdvanced Numerical Methods in Computational Mathematics · Electromagnetic Simulation and Numerical Methods · Electromagnetic Scattering and Analysis