Name
Abstract | ||
|---|---|---|
We develop and analyze an optimization-based approach for the robust and efficient solution of PDE problems consisting of multiple physics operators with fundamentally different mathematical properties. Our approach relies on three essential steps: decomposition of the original problem into subproblems for which robust solution algorithms are available; integration of the subproblems into an equivalent PDE-constrained optimization problem; and solution of the resulting optimization problem either directly as a fully coupled algebraic system or in the null space of the PDE constraints. This strategy gives rise to a general approach for synthesizing robust solvers for complex coupled problems from solvers for their simpler physics components. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1137/090748111 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
equivalent pde-constrained optimization problem,efficient solution,optimization-based approach,optimization problem,original problem,general approach,pde problem,robust solution algorithm,pde solution algorithms,robust solvers,pde constraint,optimization,multiphysics | Kernel (linear algebra),Mathematical optimization,Calculus of variations,Algorithm,Decomposition method (constraint satisfaction),Operator (computer programming),Numerical analysis,Partial differential equation,Optimization problem,Mathematics,Constrained optimization | Journal |
Volume | Issue | ISSN |
47 | 5 | 0036-1429 |
Citations | PageRank | References |
6 | 0.77 | 10 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pavel B. Bochev | 1 | 382 | 67.69 |
| Denis Ridzal | 2 | 75 | 9.99 |