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January 26, 2026Mathematical Models and Methods in Applied Sciences0 citations

Time-Parallel Preconditioner for Parabolic Reconstruction Using Isogeometric Analysis

A robust and time-parallel preconditioner for parabolic reconstruction problems using Isogeometric Analysis

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Authors

KMKent‐André MardalJSJarle SognSTStefan Takacs

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Overview

This research demonstrates a preconditioner improving efficiency in PDE optimization with parabolic equations, suggesting significant computational advantages.

Key Points

  • The aim is to develop a robust preconditioner for tracking-type PDE-constrained optimization problems involving parabolic equations.
  • Formulated a KKT system using strong variational and super weak formulations
  • Employed Isogeometric Analysis for discretization
  • Solved an elliptic problem over space-time using fast diagonalization approach
  • Enabled time-parallel solution of smaller elliptic problems
  • Demonstrated robustness of the preconditioner across various regularization and diffusion parameters
  • Illustrated significant computational efficiency through numerical experiments

Cite This Study

Mardal et al. (2026) studied this question.

synapsesocial.com/papers/6977032e722626c4468e83a2https://doi.org/10.1142/s0218202526500168
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