We will discuss the construction of arbitrarily high order accurate DG and WENO schemes which satisfy a strict maximum principle for nonlinear scalar conser
In this presentation,we will discuss the maximum principle preserving flux limiters from the algorithm design,accuracy analysis to their applications to hig
In this talk,we will present our recent work on the design of high order positivity-preserving Lagrangian schemes.We construct a class of uniformly high ord
We introduce the concept of an M-decomposition and show how to use it to systematically construct hybridizable discontinuous Galerkin and mixed methods for
We give a short survey of WENO schemes and then review some of their recent developments,including a simple WENO limiter for DG and CPR schemes,finite diffe
In this talk we discuss how to solve elliptic and Stokes eigenvalue problems on three dimensional polyhedral domains using least squares h−p/spectral eleme
Superconvergence phenomenon is well understood for the hversion finite element method and researchers in this field have accumulated a vast literature durin
Starting with the interior transmission condition on the boundary of the perturbation,we will demonstrate how to apply Cartwright-Polya-Levinson theory to o