Gamra：复杂地震的简单网格
Gamra: Simple Meshes for Complex Earthquakes
摘要：
由地震引起的静态偏移可以用沿断层位移不连续的弹性静力模型来描述。对这种不连续性建模的传统方法是将数值网格与断层对齐，并使用有限元求解方程。但是，这种扭曲的网格可能难以生成和更新。本文提出了一种新的数值方法，受浸入界面法的启发，求解含嵌入间断的弹性静力方程。这种方法已经精心设计，使其可以用于并行机上的适应有限差分网格。我们已经在Gamra中实现了这种方法，这是一种新的地球建模代码。我们证明了分析测试的方法的正确性，我们证明了它的实际性能，通过解决一个现实的地震模型，以极高的精度。
英文摘要：
The static offsets caused by earthquakes are well described by elastostatic models with a discontinuity in the displacement along the fault. A traditional approach to model this discontinuity is to align the numerical mesh with the fault and solve the equations using finite elements. However, this distorted mesh can be difficult to generate and update. We present a new numerical method, inspired by the Immersed Interface Method, for solving the elastostatic equations with embedded discontinuities. This method has been carefully designed so that it can be used on parallel machines on an adapted finite difference grid. We have implemented this method in Gamra, a new code for earth modelling. We demonstrate the correctness of the method with analytic tests, and we demonstrate its practical performance by solving a realistic earthquake model to extremely high precision.
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