Title: Analysis of Finite Element Methods for Linear Hyperbolic Problems Author: Richard S. Falk Source: in "Discontinuous Galerkin Methods: Theory, Computation, and Applications" (B. Cockburn, G. Karniadakis, and C.W. Shu, eds.), Lecture Notes in Computational Science and Engineering 11, Springer-Verlag, New York, 2000, pp. 103-112. Status: Published Abstract: We summarize several techniques of analysis for finite element methods for linear hyperbolic problems, illustrating their key properties on the simplest model problem. These include the discontinuous Galerkin method, the continuous Galerkin methods on rectangles and triangles, and a nonconforming linear finite element on a special triangular mesh. URL: http://www.math.rutgers.edu/~falk/papers/dgconf-l.pdf