Numerical solution of inverse problem for 2D acoustic system of conservation laws by gradient type method requires storage of O(N3) elements which is crucial on large grids with O(N) points in single dimension. In this article we present an approach to save twice memory on the stage of adjoint problem and gradient calculation and compare it with usual approach in memory and CPU time cost. Numerical comparison for CPU time and memory of one step of iteration process which consists of direct problem solution, adjoint problem solution and calculation of the gradient are presented.
- Adjoint problem
- Coefficient inverse problem
- Conservation laws
- RAM optimization
- 1.02 COMPUTER AND INFORMATION SCIENCES
- 1.01 MATHEMATICS
- 1.03 PHYSICAL SCIENCES AND ASTRONOMY