Peer-reviewed veterinary case report
A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation.
- Year:
- 2022
- Authors:
- Caboussat A et al.
- Affiliation:
- Geneva School of Business Administration
Abstract
We consider a least-squares/relaxation finite element method for the numerical solution of the prescribed Jacobian equation. We look for its solution via a least-squares approach. We introduce a relaxation algorithm that decouples this least-squares problem into a sequence of local nonlinear problems and variational linear problems. We develop dedicated solvers for the algebraic problems based on Newton's method and we solve the differential problems using mixed low-order finite elements. Various numerical experiments demonstrate the accuracy, efficiency and the robustness of the proposed method, compared for instance to augmented Lagrangian approaches.
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Search related cases →Original publication: https://europepmc.org/article/MED/36035316