扩展面源的高效计算
Efficient Computation of Extended Surface Sources
摘要：
源延拓是波传播反问题的重新表述，至少在某些情况下导致计算上易于处理的迭代求解方法。在所有的源扩展方法的核心子问题是一个源的线性反问题的解决方案（右手边的波动方程系统），通过最小二乘意义上的数据误差最小化与软施加的物理约束的源通过添加剂二次罚款。从光声层析成像的时间反演方法的一个变体提供了一个近似解，可用于预处理Krylov空间迭代快速收敛到这个子问题的解决方案。一个声学二维的例子上的表面上支持的源，与一个软constraint强制点支持，说明了这种预条件的有效性。
英文摘要：
Source extension is a reformulation of inverse problems in wave propagation, that at least in some cases leads to computationally tractable iterative solution methods. The core subproblem in all source extension methods is the solution of a linear inverse problem for a source (right hand side in a system of wave equations) through minimization of data error in the least squares sense with soft imposition of physical constraints on the source via an additive quadratic penalty. A variant of the time reversal method from photoacoustic tomography provides an approximate solution that can be used to precondition Krylov space iteration for rapid convergence to the solution of this subproblem. An acoustic 2D example for sources supported on a surface, with a soft contraint enforcing point support, illustrates the effectiveness of this preconditioner.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
