Finite element methods for symmetric linear hyperbolic systems using unstructured advancing fronts (satisfying a causality condition) are considered in this work. Convergence results and error bounds are obtained for mapped tent pitching schemes made with standard discontinuous Galerkin discretizations for spatial approximation on mapped tents. Techniques to study semidiscretization on mapped tents, design fully discrete schemes, prove local error bounds, prove stability on spacetime fronts, and bound error propagated through unstructured layers are developed.

翻译：这项工作考虑了使用非结构化推进战线的对称线性双曲系统(满足因果关系条件)的有限元素方法;对与标准不连续的加列尔金离散的帐篷布置计划相匹配的结果和误差界限,以在已规划的帐篷上进行空间近距离测量;对已规划的帐篷进行半分化研究的技术,设计完全分离的计划,证明当地的误差界限,证明时空战线的稳定,通过无结构的层传播约束错误。