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math.NA2019
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…
math.NA2019
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…
math.NA2019
A fully adaptive multilevel stochastic collocation strategy for solving elliptic PDEs with random data
Jens Lang, Robert Scheichl, David Silvester
We propose and analyse a fully adaptive strategy for solving elliptic PDEs with random data in this work. A hierarchical sequence of adaptive mesh refinements for the spatial appro…