52 citations · 286 across the 18 of their papers we have counts for
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Stability of explicit Runge-Kutta methods for high order finite element approximation of linear parabolic equations
Weizhang Huang, Lennard Kamenski, Jens Lang
We study the stability of explicit Runge-Kutta methods for high order Lagrangian finite element approximation of linear parabolic equations and establish bounds on the largest eige…
A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates
Weizhang Huang, Lennard Kamenski, Jens Lang
A new anisotropic mesh adaptation strategy for finite element solution of elliptic differential equations is presented. It generates anisotropic adaptive meshes as quasi-uniform on…
Sharp bounds on the smallest eigenvalue of finite element equations with arbitrary meshes without regularity assumptions
Lennard Kamenski
A proof for the lower bound is provided for the smallest eigenvalue of finite element equations with arbitrary conforming simplicial meshes. The bound has a similar form as the one…
Why do we need Voronoi cells and Delaunay meshes? Essential properties of the Voronoi finite volume method
Klaus Gärtner, Lennard Kamenski
Unlike other schemes that locally violate the essential stability properties of the analytic parabolic and elliptic problems, Voronoi finite volume methods (FVM) and boundary confo…