Name
Title | ||
|---|---|---|
A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation |
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.
|
Year | DOI | Venue |
|---|---|---|
2022 | 10.1007/s10915-022-01968-8 | Journal of Scientific Computing |
Keywords | DocType | Volume |
Jacobian determinant, Least-squares method, Newton methods, Biharmonic regularization, Finite element method, Nonlinear constrained minimization, 65N30, 65K10, 49M20, 35F30 | Journal | 93 |
Issue | ISSN | Citations |
1 | 0885-7474 | 0 |
PageRank | References | Authors |
0.34 | 9 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alexandre Caboussat | 1 | 0 | 0.34 |
| Roland Glowinski | 2 | 188 | 50.44 |
| Dimitrios Gourzoulidis | 3 | 0 | 0.34 |